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Predicting Structural Domains in Proteins Richard Anthony George This thesis is submitted in partial fulfilment of the requirements of the University of London for the degree of Doctor of Philosophy November 2001 Division of Mathematical Biology National Institute for Medical Research The Ridgeway, Mill Hill. NW7 lAA United Kingdom

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Page 1: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Predicting Structural Dom ains

in Proteins

Richard Anthony George

This thesis is submitted in partial fulfilment of the requirements of the University of London

for the degree of Doctor of Philosophy

November 2001

Division of Mathematical Biology National Institute for Medical Research

The Ridgeway, Mill Hill. NW7 lAA United Kingdom

Page 2: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

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Page 3: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

The copyright of this thesis rests with the author and no quotation from it or derived

from it may be published without prior written consent of the author.

Page 4: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Abstract

Domains are the structural and functional units of proteins. Nature often brings

several domains together to form multidomain-multifunctional proteins with the

possibility of an almost infinite number of combinations.

Delineation of a protein sequence into its structural domains is often an essential

pre-requisite in sample preparation for structure determination, for protein engi­

neering, site directed mutagenesis experiments and for the optimisation of structure

prediction methods. Individual domains are likely to correspond to recurring

functional and evolutionary units of a protein; for this reason, using individual

domains to search a database for related sequences is often more successful than

using the whole protein sequence.

Until now there have been no accurate methods to delineate the boundaries of

structural domains from sequence information alone. This thesis describes computa­

tional tools to characterise the essential properties of domains and their boundaries.

Several observations render domain prediction feasible: 1) domain interfaces show an

amino acid composition intermediate to those of core and surface regions; 2) domain-

linking oligopeptides display distinct characteristics; 3) multidomain proteins have a

larger surface area than single domain proteins of the same sequence length; and 4)

the average hydrophobicity of a protein relates to the size of its domains. Based on

Page 5: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

these principles, several prediction methods have been developed and successfully

applied to interesting biological examples.

Page 6: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Acknowledgem ents

I am indebted to Jackie whose constant support and encouragement made this thesis

possible. XXX

I thank Alex, Andres, Cedric, Darrell, Delmiro, Enrico, Franca, Inti, Jaap, Jakir,

Jens, José, John, Kuang, Michael, Nigel.B, Nigel.D, Robin, Victor and Willie for

making the last three years enjoyable. Special thanks goes to all those who took

time to read over this thesis before its submission, especially Jaap for his enthusiastic

supervision.

This work has been funded by the Medical Research Council under the supervision

of Dr. Jaap Heringa in the Division of Mathematical Biology, headed by Dr. Willie

Taylor at the National Institute for Medical Research.

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Contents

A b s tra c t ............................................................................................................ 3Acknow ledgem ents........................................................................................ 5List of f ig u re s .................................................................................................. 10List of tables .................................................................................................. 12A bbrev iations.................................................................................................. 13Original p u b lica tio n s ..................................................................................... 16

I Introduction 17

1 Domains, modules and the meaning of life 181.1 Protein structure is h ie ra rch ica l.................................................................. 21

1.1.1 Primary s tru c tu re ................................................................................ 211.1.2 Secondary struc tu re ............................................................................. 221.1.3 Tertiary s tru c tu re ................................................................................ 241.1.4 Quarternary s t r u c tu r e ...................................................................... 25

1.2 The significance of domains in p ro te in s ..........................................................271.3 Domains are units of s tru c tu re ..........................................................................32

1.3.1 Domain definition from structural co-ordinates................................321.3.2 Domain structure d a ta b a s e s ................................................................ 35

1.4 Domains are units of evolution..........................................................................391.4.1 Domain sequence d a ta b a s e s ................................................................ 44

1.5 Domains are autonomous folding u n i t s ..........................................................491.5.1 Protein folding - the unsolved p ro b le m .............................................49

2 The importance of domain prediction 532.1 Post-genome sequence analysis..................................................................... 53

2.1.1 Sequence an a ly sis ................................................................................ 542.2 Protein structure elucidation.............................................................................57

2.2.1 Structural genomics............................................................................. 582.3 Current m e th o d s .............................................................................................. 59

2.3.1 Limited p ro teo lysis ............................................................................ 592.3.2 Domain prediction from R N A ............................................................. 602.3.3 Inferring domains and their boundaries from comparative

sequence a n a ly s is ............................................................................... 632.3.4 Domain prediction from statistical m e a su re s ...................................68

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2.3.5 Predicting domains by physical principles a l o n e ............................ 68

3 Aim of this study 73

II The nature of domains; an analysis 76

4 Accessibility, hydrophobicity and m ultiplicity 774.1 Interfaces and cores of multidomain p ro te in s ........................................... 78

4.1.1 Domain assignm ent............................................................................ 794.1.2 Assigning residue environm ent......................................................... 794.1.3 Results and d iscu ss io n .......................................................................... 81

4.2 Distribution of hydrophobic residues in multidomain p ro te in s...................864.2.1 Calculating average hydrophobicity ................................................... 864.2.2 Test for randomness in the distribution of hydrophobic residues 874.2.3 Results and d iscu ss io n .......................................................................... 89

4.3 Conclusion........................................................................................................ 95

5 Analysis of domain linking oligopeptides 985.1 Linkers revisited................................................................................................. 101

5.1.1 Determining the linker r e g io n ........................................................... 1015.1.2 Calculating amino acid propensity .....................................................102

5.2 Results and d isc u ss io n ..................................................................................... 1035.2.1 Amino acid composition of linkers.....................................................1065.2.2 Conformational p ro p e rtie s ..................................................................1125.2.3 comparison of linker s e t s ............................................................. 1205.2.4 Clustering of linker f a m il ie s .............................................................. 1215.2.5 The importance of p ro l in e ..................................................................122

5.3 Linkers for gene f u s io n ..................................................................................... 1295.3.1 Linkers on the w e b ...............................................................................129

III M ethod developm ent 132

6 Domain identification by sequence comparison 1336.1 M e th o d ............................................................................................................. 135

6.1.1 DOMAINATION search p ro to c o l ....................................................1356.1.2 Domain c u t t in g ..................................................................................... 1376.1.3 Finding sites of domain deletion, domain shuffling and circular

p e rm u ta tio n ...........................................................................................1406.1.4 Assigning continuous and discontinuous dom ains.......................... 1416.1.5 Multiple sequence alignment construction....................................... 1426.1.6 Protein test sets and benchm arking................................................. 1436.1.7 Analysis of statistical significance and search performance . . 144

6.2 Results and d isc u ss io n .....................................................................................145

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6.2.1 Boundary prediction accu racy .......................................................... 1456.2.2 Joining discontinuous se g m e n ts .......................................................1466.2.3 Testing DOMAINATION versus PSI-BLAST................................1486.2.4 Database sequences found to match all structural domains in

the q u e r y ............................................................................................. 1496.2.5 Database sequences found to match any one of the structural

domains in the q u e ry ..........................................................................1506.2.6 Comparing DOMAINATION and PSI-BLAST using SMART

d o m a in s .................................................................................................1516.2.7 Significance t e s t in g .............................................................................1526.2.8 Computational requirem ents.............................................................154

6.3 Conclusion.......................................................................................................... 154

7 Predicting foldable units in proteins 1587.1 M e th o d s ............................................................................................................. 159

7.1.1 SCOOBY_DO m e th o d ...................................................................... 1597.1.2 Integrated domain prediction algorithm ......................................... 165

7.2 Results and D iscussion .....................................................................................1667.3 Conclusion.......................................................................................................... 172

8 Hydrophobic collapse and domain formation 1748.1 SnapD R A G O N ................................................................................................ 175

8.1.1 Model generation using DRAGON .......................................... 1768.1.2 Domain boundary assignm ent..........................................................179

8.2 Analysis 1 .......................................................................................................... 1818.2.1 R esu lts ................................................................................................... 1828.2.2 D iscussion.............................................................................................188

8.3 Analysis 2 ..........................................................................................................1888.3.1 Statistical s ig n ifican ce ...................................................................... 1898.3.2 Defining domain linkers in reference s tru c tu re s ..............................1908.3.3 R esu lts................................................................................................... 191

8.4 Analysis 3 ..........................................................................................................2008.4.1 Protein test s e t ................................................................................... 2008.4.2 R esu lts................................................................................................... 201

8.5 D iscussion..........................................................................................................2088.5.1 Model v a ria tio n ...................................................................................2088.5.2 Modelling the hydrophobic co llap se ................................................2088.5.3 Domain size and fo ld in g ...................................................................2098.5.4 Future w o rk ......................................................................................... 210

IV Case study and conclusions 211

9 Identification of domains in F v l 2129.1 Retroviruses...........................................................................................................212

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9.1.1 Retroviral life c y c le .............................................................................2139.2 Friend virus susceptibility 1 .......................................................................... 214

9.2.1 R esu lts ................................................................................................... 2169.3 D iscussion.........................................................................................................221

10 Conclusion 22410.1 Protein folding and domain form ation........................................................ 22710.2 Domain definition............................................................................................22910.3 Integrated methods for domain prediction ................................................. 23010.4 Future perspectives.......................................................................................... 231

10.4.1 Genome a n a ly s is ................................................................................23110.4.2 Bioinformatics in the post-genome e r a ......................................... 232

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List of Figures

1.1 Distribution of domain clciss in multidomain p ro te in s .................................. 261.2 Pyruvate kinase; PDB code Ipkn ................................................................... 281.3 The connectivity between multidomain proteins................................................ 43

2.1 Errors in sequence comparison.......................................................................... 55

4.1 Domain number distribution............................................................................. 814.2 Percentage of solvent exposed residues assigned by D S S P ............................... 824.3 Residue propensities for core, exposed and domain interface............................854.4 Random walk m o d e l........................................................................................... 884.5 Frequency of domains as a function of hydrophobicity and length................. 904.6 Measure of randomness I - Wald-Wolfowitz runs test ...................................... 924.7 Measure of randomness II - Random w a lk .......................................................... 934.8 Hydrophobic run d istr ibu tion .......................................................................... 944.9 Further applications of the random walk m o d e l................................................ 97

5.1 Linker length d istribution ...................................................................................1045.2 Amino acid propensities of the linkers; grouped by s i z e .................................1075.3 Amino acid propensities of the linkers; grouped by number of linkers . . . 1075.4 Residue C a-ex ten t................................................................................................ 1125.5 Amino acid propensities of the linkers; grouped by structure I ...................... 1145.6 Amino acid propensities of the linkers; grouped by structure I I ................... 1155.7 Ward clustering of linker com position...............................................................1235.8 Principle component analysis - Eigen va lu es .....................................................1235.9 Xaa-Pro linker propensities versus trans to cis rate con stan ts...................... 1275.10 Linker database file for linker I b e f A .l ...............................................................131

6.1 Flow diagram of DOMAINATION..................................................................... 1366.2 Method of domain c u tt in g ...................................................................................1386.3 Domain prediction accuracy as a function of E-value cut-off..........................1476.4 Significant sequences found by m eth o d s........................................................... 1536.5 Histogram of percentage low complexity within local gapped-alignments . 155

7.1 Multi-level smoothing w in d ow ............................................................................ 1617.2 Example SCOOBYJDO probability matrix........................................................1627.3 Domain delineation................................................................................................ 163

10

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7.4 Distribution of domain length and average hydrophobicity.............................1667.5 Prediction sensitivity............................................................................................ 1687.6 SCOOBY_DO plot for titin ...............................................................................170

8.1 Overview of the SnapDRAGON m ethod........................................................... 1778.2 SnapDRAGON domain boundary distribution for lhfhl_refl ........................1848.3 SnapDRAGON domain boundary distribution for 2p ia_refl........................... 1868.4 SnapDRAGON domain boundary distribution for luky_refl........................... 1878.5 Error in domain and boundary number prediction............................................ 1928.6 Domain and boundary number assigned versus real distribution.................. 1948.7 The average normalised distance between predicted boundary and closest

real linker per-protein ..........................................................................................1978.8 Error in domain and boundary number prediction.......................................... 2028.9 Domain and boundary number: predicted versus r e a l ................................... 2038.10 Sensitivity versus reference chain len g th ...........................................................207

9.1 Fvl a lign m en t......................................................................................................2179.2 SCOOBY_DO plots for Fvl, ERV-L, MLV gag and HIV-1 gag .................. 2189.3 Backbone structure of gag CA protein from anemia v ir u s ............................ 2199.4 Random walks for viral gag proteins................................................................. 220

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List o f Tables

1 Standard one and three letter amino acid c o d e s .................................... 15

1.1 Domain databcises........................................................................................... 36

5.1 Amino acid pair propensities over all l in k e r s .............................................1095.2 Amino acid pair propensities for medium sized lin k ers ............................ 1105.3 Amino acid pair propensities for large sized linkers................................... I l l5.4 Amino acid pair propensities for non-helical l in k e r s .................................1175.5 Amino acid pair propensities for helical linkers ......................................... 1185.6 Dyad sequence codes for l in k e rs ................................................................... 1195.7 tests between linker sets .......................................................................... 121

6.1 The number of homologous sequences found and missed I .......................1506.2 The number of homologous sequences found and missed I I ................... 152

7.1 Average score prediction per protein ......................................................... 167

8.1 Domain boundary prediction on a set of 25 3D_ALI alignments . . . . 1838.2 Accuracy of linker prediction per p ro te in ...................................................1958.3 Accuracy of linker prediction......................................................................... 2068.4 Accuracy of linker prediction per p ro te in ...................................................206

12

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Abbreviations

3D three dimensionalA adenineADM average distance mapAIR aminoimidazole ribonucleotide synthetaseBLAST basic local alignment search toolbp base pairC cytosineCa alpha-carbonCA capsidGASP critical assessment of techniques for protein structure

predictionCD circular dichroismCOGs cluster of orthologous groupsCOOH carboxyl groupDNA deoxyribonucleic acidDRAGON distance régularisation algorithm for geometry optimisationDSSP dictionary of secondary structure of proteinsPASTA fast alignmentFvl friend virus susceptibility 1G guanineGAR glycinamide ribonucleotide synthetase/ transferaseHIV human immunodeficiency virusHMM hidden markov modelHPLC high performance liquid chromatographyIN integraseINDIGO integrated domain prediction algorithmMA matrixMHR major homology regionMLV murine leukemia virusmRNA messenger RNANO nucleocapsidNCBI National Center for Biotechnology InformationNH2 amino groupNMR nuclear magnetic resonanceNRDB non-redundant protein sequence databasePASS prediction of autonomous folding units based on sequence

similarities

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PDB Brookhaven protein data bankPH pleckstrin homology domainPIC pre-integration complexPSSM position specific scoring matrixRDM real distance mapRMSD root mean square deviationRNA ribonucleic acidRT reverse transcriptaseSA solvent accessibilitySCOOBY_DO sequence hydrophobicity predicts domainsSCOP structural classification of proteinsSDS-PAGE sodium dodecyl sulphate polyacrylamide gel electrophoresisSIV simian immunodeficiency virusSMART simple modular architecture research toolSSAP structure and sequence alignment programSU surface proteinT thymineTM transmembraneTUNEID threading using neural network with one-dimensional profiletRNA transfer RNAU uracil

Standard one and three letter codes are used for amino acids (Table 1). Brookhaven Database codes are used for PDB entries, sometimes with an additional chain identifier.

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Table 1: Standard one and three letter amino acid codesFull name Three letter One letterAlanine Ala AArginine Arg RAsparagine Asn NAspartic acid Asp DCysteine Cys CGlutamine Gin QGlutamic acid Glu EGlycine Gly GHistidine His HIsoleucine He ILeucine Leu LLysine Lys KMethionine Met MPhenylalanine Phe FProline Pro PSerine Ser SThreonine Thr TTryptophan Trp WTyrosine Tyr YValine Val V

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Original publications

1 George RA. and Heringa J. (2000) The REPRO server: finding protein internal sequence repeats through the web. Trends Bioc Sci. 25, 515-517

2 George RA., Kleinjung J. and Heringa J. (2001) Predicting protein structural domains from sequence data. Bioinformatics and Genomes: Current Perspectives. Horizon Scientific Press, (in press)

3 George RA. and Heringa J. (2001) SnapDRAGON - a method to delineate protein structural domains from sequence data. Submitted to J Mol Biol.

4 George RA. and Heringa J. (2001) Protein domain identification and improved sequence similarity searching using PSI-BLAST. Submitted to Proteins.

5 George RA, and Heringa J. (2001) An analysis of protein domain linkers: their classification and role in multiple domain folding.Submitted to Protein Eng.

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Part I

Introduction

17

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Chapter 1

Dom ains, modules and the meaning of life

Amongst the carbon compounds there is an abundance of evidence to

prove the existence of internal tendencies or molecular properties which

may and do lead to the evolution of more and more complex chemical

compounds. And it is such synthetic processes, occurring amongst the

molecules of colloidal and allied substances, which seem so often to

engender or give ‘origin’ to a kind of matter possessing that subtle

combination of properties to which we are accustomed to apply the epithet

‘living’. Bastian (1872)

All cellular life requires two types of macromolecule, nucleic acids and proteins.

Nucleic acids contain the ‘blueprint’ to manufacture proteins, the essential active

agents in biochemistry and without which almost none of the metabolic processes

th a t we associate with life would take place. Many proteins play a structural role

providing the filamentous architecture within cells and the materials tha t are used

in, for example, hair, nails, tendons and bones.

Each macromolecule is synthesised from the polymerisation of small sub-units.

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The nucleic acids, DNA and RNA, are each assembled from four different nucleotides

and proteins are assembled from twenty different L-amino acids. In each case, the

sequence in which the individual sub-units are assembled is the critical feature that

determines the final function.

The genetic code is an alphabet of four letters, adenine (A), cytosine (C), guanine

(G) and thymine (T), linked together by 5’-3’ phosphodiester bonds. Each molecule

of DNA can form a double helix from two complementary antiparallel strands of

nucleotides held together by hydrogen bonds between G-C and A-T base pairs (bp)

(Watson and Crick, 1953).

The synthesis of proteins involves copying a specific region of DNA, the gene, into

RNA. Like DNA, RNA is composed of a linear sequence of nucleotides, but the sugar

phosphate backbone of RNA contains ribose instead of a deoxyribose sugar, and the

base thymine is replaced by uracil (U). The synthesis of a single stranded RNA

molecule from DNA is called transcription and results in a direct copy of the gene.

RNA transcripts that direct the synthesis of protein molecules are called messenger

RNA (mRNA). W ithin any cell at any particular time the level of transcription of

a particular gene into mRNA can be controlled, the specific binding of regulatory

proteins onto DNA plays a major role in this regulation. The mRNA acts as a

carrier of the genetic information to the ribosome, the translational machinery.

In eukaryotes the mRNA undergoes some modifications before leaving the

nucleus. This includes removal of non-coding regions in the mRNA called introns.

Introns separate the coding regions, exons, and are excised in a series of reactions

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called ‘splicing’.

Each of the four bases are used in combination to form a genetic dictionary of

triplet ‘words’. Each nucleotide triplet, called a codon, specifies one of the twenty

amino acids. Since there are four nucleotides, there are 64 possible nucleotide

triplets. This leads to a degeneracy of the genetic code, where each amino acid

has several possible codons. The translation of mRNA into protein requires small

transfer RNA (tRNA) molecules that carry the amino acids to the mRNA. The

tRNA molecule has an anti-codon sequence, which base pairs to its complementary

codon in the mRNA.

The process of translation occurs at the ribosome, a huge complex of more than

50 proteins and RNA molecules. The polymerase activity of the ribosome appears

to be based solely on RNA and for this reason it has been called a ribozyme (Nissen

et a i, 2000). High resolution structures for the ribosome have only recently been

determined (Ban et a i, 2000; Wimberly et ai, 2000; Yusupov et a i, 2001).

The ribosome essentially holds the mRNA in place so that the codons may be

matched up with the appropriate anti-codon on the tRNA, ensuring that the correct

amino acid is inserted into the growing polypeptide chain. The ribosome travels

along the mRNA molecule in a 5’-3’ direction, translating the nucleotide sequence

into an amino acid sequence, one codon at a time. When the ribosome reaches the

end of the mRNA, both it and the newly synthesised carboxyl (COOH) end are

released into the cytoplasm. The flow of genetic information through the conversion

of DNA to RNA to protein is the ‘central dogma’ of molecular biology. Some viruses

20

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Domains, modules and the meaning o f life

use RNA to carry their genetic information and are the exception to the rule.

There are about 35,000 protein-coding genes in humans, which comprises less

than 2% of the entire genome. However, alternative splicing of the mRNA will

generate a much larger set of proteins (International Human Genome Sequencing

Consortium, 2001). It is estimated that more than 30% of human genes will undergo

alternative splicing (Hanke et a i, 1999).

1.1 Protein structure is hierarchical

The proteins we observe in nature have arisen through a selective pressure to

perform specific functions, the functional properties of which are determined by

the overall 3D-protein structure. Unlike the ordered structure of DNA, proteins may

appear highly complex and irregular. Such complexity enables recognition of various

molecules by detailed 3D interactions. The appearance of a protein in solution is

often globular, with the polypeptide chain passing in and out of the central core of

the molecule.

1.1.1 Primary structure

Although the overall structure of a protein molecule may appear irregular there is

an underlying hierarchical order to its complexity. The first level is the sequence

of amino acids, called its ‘primary structure’. Amino acids are joined together to

form a polypeptide chain created by the condensation of the COOH group of one

amino acid with the amino (NH2) group of the next. The difference of the amino

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Domains, modules and the meaning o f life

acids lies in the side chain attached to the alpha-carbon (Ca) atom. According

to the chemical nature of the side chains amino acids are usually divided into

three categories (Brândén and Tooze, 1991). The first are those tha t have strictly

hydrophobic side chains, shown using their three letter codes; Ala, Val, Leu, He,

Phe, Pro and Met. The four charged residues. Asp, Glu, Lys and Arg form a second

class. The final class consists of those with polar side chains; Ser, Thr, Cys, Asn,

Gin, His, Tyr and Trp. The amino acid Gly only has a hydrogen atom as a side

chain and can be put in the hydrophobic category or assigned to a fourth category.

The variety of amino acids leads to enormous versatility in the chemical properties

of proteins.

1.1.2 Secondary structure

The primary structure of a protein encodes its uniquely folded 3D conformation

(Anfinsen et a l, 1961). The most important factor governing the folding of a protein

is the distribution of polar and non-polar side chains (Cordes et al., 1996). Folding

is driven by the burial of hydrophobic side chains into the interior of the molecule

so to avoid contact with the aqueous environment. Generally proteins have a core

of hydrophobic residues surrounded by a shell of hydrophilic residues. Since the

peptide bonds themselves are polar they are neutralised by hydrogen bonding with

each other when in the hydrophobic environment. This gives rise to regions of the

polypeptide that form regular 3D structural patterns called ‘secondary structure’.

Secondary structure is defined by the location in space of three atoms linked together

22

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Domains, modules and the meaning o f life

in the polypeptide backbone: namely the Ca, carboxyl carbon (O’) and the amide

nitrogen atoms (N). Their positions, and hence secondary structure, can be defined

by the angles of rotation about the bonds connecting the three atoms: ÿ, 'ip, and lj.

The torsion or dihedral angle w defines rotation around the peptide bond C’j-Nj+i,

the angle (j) defines the rotation around the N —C a bond and angle 'ip defines the

rotation around the Ca-C’i bond, where i is the zth amino acid. There are two main

types of secondary structure:

• a-helical: Main chain C’= 0 (residue i) and N-H (residue z+4) atoms are

hydrogen bonded to each other causing the polypeptide backbone to turn

about itself forming a rigid cylinder. There are about 3.6 residues per turn,

which corresponds to a distance of 5.4Â. (p and p̂ angles are approximately

-60° and -50° respectively. The rotation of the chain is right handed.

• yd-sheet: This structure is built up from several fully extended, continuous

regions of the polypeptide chain called ^-strands. /5-strands are usually from

four to ten residues in length and aligned adjacent to each other such that

hydrogen bonds can form between the C’= 0 atom of one yd-strand and the

N-H of another. /5-sheets can have their strands parallel, antiparallel or mixed.

Some simple combinations of secondary structure elements have been found

to frequently occur in protein structure and are referred to as ‘super-secondary

structure’ or motifs. For example, the yd-hairpin motif consists of two adjacent

antiparallel /5-strands joined by a small loop. It is present in most antiparallel /5

structures both as an isolated ribbon and as part of more complex yd-sheets. Another

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Domains, modules and the meaning o f life

common super-secondary structure is the jd-a-jd motif, which is frequently used to

connect two parallel ^-strands. The central a-helix connects the C-termini of the

first strand to the N-termini of the second strand, packing its side chains against

the /9-sheet and therefore shielding the hydrophobic residues of the /9-strands from

the surface.

1.1.3 Tertiary structure

Several motifs pack together to form compact, local, semi-independent units called

domains (Richardson, 1981). The overall 3D structure of the polypeptide chain

is referred to as the protein’s ‘tertiary structure’. Domains are the fundamental

units of tertiary structure, each domain containing an individual hydrophobic core

built from secondary structural units connected by loop regions. The packing of the

polypeptide is usually much tighter in the interior than the exterior of the domain

producing a solid-like core and a fluid-like surface (Zhou et a i, 1999). In fact, core

residues are often conserved in a protein family, whereas the residues in loops are

less conserved, unless they are involved in the protein’s function. Protein tertiary

structure can be divided into four main classes based on the secondary structural

content of the domain (Levitt and Chothia, 1976).

• All-o; domains have a domain core built exclusively from a-helices. This class

is dominated by small folds, many of which form a simple bundle with helices

running up and down.

• All-^ domains have a core comprising of antiparallel ,0-sheets, usually two

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sheets packed against each other. Various patterns can be identified in the

arrangement of the strands, often giving rise to the identification of recurring

motifs, for example the greek key motif (Hutchinson and Thornton, 1993).

• a+/3 domains are a mixture of all-a and all-^ motifs. Classification of proteins

into this class is difficult because of overlaps to the other three classes and

therefore is not used in the GATH domain database (Orengo et a i, 1997).

• a//3 domains are made from a combination of P-a-P motifs tha t predominantly

form a parallel ^^-sheet surrounded by amphipathic a-helices. The secondary

structures are arranged in layers or barrels.

Figure 1.1 shows the distribution of domain class assigned to proteins held

within the OATH structural domain database (Orengo et a i, 1997). Only 1% of

multidomain proteins contain a domain from each of the three classes all-a, all-/9

and ol/P . The majority of proteins, 48%, contain an a /P domain. About half of

the multidomain proteins that contain an all-o; or all-yd domain also have a domain

from another class, but only a third of proteins with an a jjd domain contain other

classes of domains. Combinations of all-o; and all-/? domains are the least observed

in multidomain proteins, whereas combinations of all-o; and a /p domains are the

most common.

1.1.4 Quarternary structure

Many proteins have a quarternary structure, which consists of several polypeptide

chains tha t associate into an oligomeric molecule. Each polypeptide chain in such a

25

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576

a/(3316

126108

all-(3

330 348

Figure 1.1: Distribution of domain class in multidomain proteins. Domains are organised into their class as described in the CATH domain database (Orengo et ai, 1997). The central Venn diagram contains multidomain proteins, while the individual sets surrounding the Venn diagram contain single domain proteins. No pair of sequences have more than 35% sequence identity.

protein is called a subunit. Hemoglobin, for example, consists of two a and two /?

subunits. Each of the four chains has an all-o; globin fold with a heme pocket.

Domain swapping is a mechanism for forming oligomeric assemblies (Bennett

et ai, 1995). In domain swapping, a secondary or tertiary element of a monomeric

protein is replaced by the same element of another protein. Domain swapping

can range from secondary structure elements to whole structural domains. It also

represents a model of evolution for functional adaptation by oligomerisation, e.g.

oligomeric enzymes that have their active site at subunit interfaces (Heringa and

Taylor, 1997).

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1.2 The significance of domains in proteins

The concept of the domain was first proposed in 1973 by Wetlaufer after X-ray

crystallographic studies of hen lysozyme (Phillips, 1966), papain (Drenth et al, 1968)

and by limited proteolysis studies of immunoglobulins (Porter, 1973; Edelman, 1973)

(see Section 2.3.1 for more information on limited proteolysis). Wetlaufer defined

domains as stable units of protein structure that could fold autonomously. Domains

have been defined as units of:

• compact structure (Richardson, 1981);

• function and evolution (Bork, 1991);

• folding (Wetlaufer, 1973).

Each definition is valid and will often overlap, i.e. a compact structural domain

tha t is found amongst diverse proteins is likely to fold independently within its

structural environment. In a multidomain protein, each domain may fulfil its own

function independently, or in a concerted manner with its neighbours. Domains can

either serve as modules for building up large assemblies such as virus particles or

muscle fibres, or can provide specific catalytic or binding sites as found in enzymes or

regulatory proteins. Therefore, domains can be units of function as well as structure.

An appropriate example is pyruvate kinase, a glycolytic enzyme that plays an

im portant role in regulating the flux from fructose-1,6-biphosphate to pyruvate.

It contains an all-/? regulatory domain, an a/j3 substrate binding domain and an

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Oi/jd nucleotide binding domain (Figure 1.2). Each domain recurs in diverse sets of

proteins.

A

Figure 1.2: Pyruvate kinase; PDB code Ipkn (Larsen et al, 1994)

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The central a//3-barrel substrate binding domain is one of the most common

enzyme folds. It is seen in many different enzyme families catalysing completely

unrelated reactions (Hegyi and Gerstein, 1999). The a /^-barrel is commonly called

the TIM-barrel named after triose phosphate isomerase, which was the first such

structure to be solved (Banner et al, 1975). It is currently classified into 26

homologous families in the CATH domain database (Orengo et al, 1997). The

TIM-barrel is formed from a sequence of p-a-P motifs closed by the first and

last strand hydrogen bonding together, forming an eight stranded barrel. There

is debate about the evolutionary origin of this domain. One study has suggested

that a single ancestral enzyme could have diverged into several families (Copley and

Bork, 2000), while another suggests that a stable TIM-barrel structure has evolved

through convergent evolution (Lesk et ai, 1989).

The TIM-barrel in pyruvate kinase is ‘discontinuous’, meaning that more than

one segment of the polypeptide is required to form the domain. This is likely to be

the result of the insertion of one domain into another during a protein’s evolution.

The inserted /5-barrel regulatory domain is ‘continuous’, made up of a single stretch

of polypeptide. It has been shown from known structures that about a quarter of

structural domains are discontinuous (Jones et a l, 1998; Holm and Sander, 1994).

Covalent association of two domains represents a functional and structural

advantage since there is an increase in stability when compared with the same

structures non-covalently associated (Ghelis and Yon, 1979). Other, advantages

are the protection of intermediates within inter-domain enzymatic clefts tha t may

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otherwise be unstable in aqueous environments, and a fixed stoichiometric ratio of

the enzymatic activity necessary for a sequential set of reactions (Ostermeier and

Benkovic, 2000).

The presence of multiple domains in proteins gives rise to a great deal of fiexibility

and mobility. One of the largest observed domain motions is the ‘swivelling’

mechanism in pyruvate phosphate dikinase. The phosphoinositide domain swivels

between two states in order to bring a phosphate group from the active site of the

nucleotide binding domain to tha t of the phosphoenolpyruvate/pyruvate domain

(Herzberg et ai, 1996). The phosphate group is moved over a distance of 45Â

involving a domain motion of about 100° around a single residue. Domain motions

are important for (Gerstein et ai, 1994):

• catalysis;

• regulatory activity;

• transport of metabolites;

• formation of protein assemblies and

• cellular locomotion.

In enzymes, the closure of one domain onto another captures a substrate by an

induced fit, allowing the reaction to take place in a controlled way. Such motions

can be observed when two or more crystallographic 3D structures of a protein are

experimentally determined in alternate environments, or from the analysis of nuclear

magnetic resonance (NMR) derived structures. A detailed analysis by Gerstein et a i

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(1994) led to the classification of two basic types of domain motion; hinge and shear.

Only a relatively small portion of the chain, namely the inter-domain linker and

side chains undergo significant conformational changes upon domain rearrangement

(Janin and Wodak, 1983).

A study by Hayward (Hayward, 1999) found that the termini of a-helices and

/^-sheets form hinges in a large number of cases. Many hinges were found to involve

two secondary structure elements acting like hinges of a door, allowing an opening

and closing motion to occur. This can arise when two neighbouring strands within

a ^-sheet situated in one domain, diverge apart as they join the other domain. The

two resulting termini then form the bending regions between the two domains, a-

helices tha t preserve their hydrogen bonding network when bent are found to behave

as mechanical hinges, storing ‘elastic energy’ that drives the closure of domains for

rapid capture of a substrate (Hayward, 1999).

The interconversion of helical and extended conformations at the site of a domain

boundary is not uncommon. In calmodulin, torsion angles change for five residues

in the middle of a domain linking a-helix. The helix is split into two, almost

perpendicular, smaller helices separated by four residues of an extended strand

(Meador et a l, 1992; Ikura et a l, 1992).

Shear motions involve a small sliding movement of domain interfaces, controlled

by the amino acid side chains within the interface. Proteins displaying shear motions

often have a layered architecture: stacking of secondary structures. The inter­

domain linker has merely the role of keeping the domains in close proximity.

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1.3 Domains are units of structure

Evolution gives rise to families of related proteins with similar sequence and

structure. However, sequence similarities can be extremely low between proteins

that otherwise share the same structure. Protein structures may be similar because

proteins have diverged from a common ancestor. Alternatively, it is possible that

some folds may be more favoured than others as they represent stable arrangements

of secondary structures and over the course of evolution some proteins may converge

towards these types of fold. There are currently about 15,000 experimentally

determined protein 3D structures deposited within the Protein D ata Bank (PDB)

(Berman et a i, 2000). However this set contains many near identical structures.

It is im portant to be able to classify proteins by structural family, creating a non­

degenerate database in which each family is represented once, to help understand

relationships between protein sequence and structure. Comparison of related

protein structures allows conserved structural motifs to be identified and brings

an understanding of a protein’s evolution.

1.3.1 Domain definition from structural co-ordinates

The importance of domains as structural building blocks and elements of evolution

has brought about many automated methods for their identification and classifi­

cation in proteins of known structure. Automatic procedures for reliable domain

assignment is essential for the generation of the domain databases, especially as the

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number of protein structures is increasing. Although the boundaries of a domain

can be determined by visual inspection, construction of an automated method is not

straightforward. Problems occur when faced with domains that are discontinuous

or highly associated (Sowdhamini and Blundell, 1995). The fact that there is no

standard definition of what a domain really is has meant that domain assignments

have varied enormously, with each researcher using a unique set of criteria (Swindells,

1995).

A structural domain is a compact, globular sub-structure with more inter­

actions within it than with the rest of the protein (Janin and Wodak, 1983).

Therefore, a structural domain can be determined by two visual characteristics;

its compactness and its extent of isolation (Tsai and Nussinov, 1997). Measures

of local compactness in proteins have been used in many of the early meth­

ods of domain assignment (Rossmann et ai, 1974; Crippen, 1978; Rose, 1979;

Go, 1978) and in several of the more recent methods (Holm and Sander, 1994;

Islam et ai, 1995; Siddiqui and Barton, 1995; Zehfus, 1997; Taylor, 1999). One of

the first algorithms (Crippen, 1978) used a Ca-Ca distance map together with a

hierarchical clustering routine that considered proteins as several small segments,

10 residues in length. The initial segments were clustered one after another based

on inter-segment distances; segments with the shortest distances were clustered and

considered as single segments thereafter. The stepwise clustering finally included

the full protein. Go (1978) also exploited the fact that inter-domain distances are

normally larger than intra-domain distances; all possible CcK-CcK distances were

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represented as diagonal plots in which there were distinct patterns for helices,

extended strands and combinations of secondary structures.

The method by Sowdhamini and Blundell (1995) clusters secondary structures in

a protein based on their C a-C a distances and identifies domains from the pattern in

their dendrograms. As the procedure does not consider the protein as a continuous

chain of amino acids there are no problems in treating discontinuous domains.

Specific nodes in these dendrograms are identified as tertiary structural clusters

of the protein, these include both super-secondary structures and domains.

The DOMAK algorithm is used to create the 3Dee domain database (Siddiqui

and Barton, 1995). It calculates a ‘split value’ from the number of each type of

contact when the protein is divided arbitrarily into two parts. This split value is

large when the two parts of the structure are distinct.

The method of Wodak and Janin (1981) was based on the calculated interface

areas between two chain segments repeatedly cleaved at various residue positions.

Interface areas were calculated by comparing surface areas of the cleaved segments

with tha t of the native structure. Potential domain boundaries can be identified at a

site where the interface area was at a minimum. Other methods have used measures

of solvent accessibility to calculate compactness (Rashin, 1985; Islam et a i, 1995;

Zehfus and Rose, 1986).

The PUU algorithm (Holm and Sander, 1994) incorporates a harmonic model

used to approximate inter-domain dynamics. The underlying physical concept is

that many rigid interactions will occur within each domain and loose interactions

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will occur between domains. This algorithm is used to define domains in the FSSP

domain database (Holm and Sander, 1997).

Swindells (1995) developed a method, DETECTIVE, for identification of

domains in protein structures based on the idea that domains have a hydrophobic

interior. Deficiencies were found to occur when hydrophobic cores from different

domains continue through the interface region.

1.3.2 Domain structure databases

Several methods of structural classification have been developed to introduce some

order to the large amount of redundant data present in the PDB. The most widely

used and comprehensive databases are CATH, 3Dee, FSSP and SCOP (Table 1.1),

which use four unique methods to classify protein structures and consequently have

discrepancies between their assignments (Hadley and Jones, 1999). The domain

databases differ in their detailed organisation. For example, the top level of the

hierarchy in SCOP and CATH is protein class. However, SCOP and CATH differ

in the number of structural classes used.

CATH

A consensus approach using the three domain assignment algorithms, PUU, DE­

TECTIVE and DOMAK as well as visual inspection, has been used to create the

CATH structural domain database (Jones et a i, 1998). The CATH database (release

2.3) contains approximately 30,000 domains ordered into five major levels:

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Table 1.1: Domain databases

COO i

Database URL ReferenceStructure3Dee http://barton, ebi. ac. uk/servers/3Dee. html (Siddiqui et al, 2001)CATH http://www. biochem.ucl. ac.uk/bsm/cath (Orengo et al, 1997)FSSP http:// www2. ebi. ac. uk/dali/ (Holm and Sander, 1997)SCO? http://scop.mrc-lmb.cam.ac.uk/8cop (Murzin et al, 1995)

SequenceBLOCKS http://blocks, fhcrc. org (Henikoff et al, 2000)COGs http://www. ncbi. nlm. nih. gov/COG (Tatusov et al, 2001)DOMO http://www.infobiogen.fr/services/domo (Gracy and Argos, 1998b)InterPro http://www. ebi. ac.uk/interpro (Apweiler et al, 2000)Pfam http://www.sanger. ac.uk/Pfam (Bateman et a l, 2000)PRINTS http://www. bioinf.man. ac.uk/dbbrowser/PRINTS (Attwood et al, 1999)ProDom http://www. toulouse. inra.fr/prodom. html (Corpet et al, 2000)PROSITE http://www. expasy. ch/prosite (Hofmann et al, 1999)PROT-FAM http : / / mips. gsf. de/proj/p ro tfam (Srinivasarao et al, 1999)SBASE http://www3. icgeb. trieste. it/~sbasesrv (Murvai et al, 2000)SMART http://SM A R T, embl-heidelberg. de (Schultz et al, 2000)

I.1s0

1

S-<D

SiI's.

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• Class;

• Architecture;

• Topology/fold;

• Homologous superfamily;

• Sequence family.

Architecture is the overall shape of a domain as defined by the packing of

secondary structural elements, but ignoring their connectivity. The topology-

level consists of structures with the same number, arrangement and connectivity

of secondary structure based on structural superposition using SSAP structure

comparison algorithm (Taylor and Orengo, 1989b). A homologous superfamily

contains proteins having high structural similarity and similar functions, which

suggests that they have evolved from a common ancestor. Finally, the sequence

family level consists of proteins with sequence identities greater than 35%, again

suggesting a common ancestor.

CATH classifies domains into approximately 700 fold families, ten of these folds

are highly populated and are referred to as ‘super-folds’. Super-folds are defined

as folds for which there are at least three structures without significant sequence

similarity (Orengo et a i, 1994). The most populated is the a /^ -barre l super-fold.

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3Dee

3Dee structural domain repository (Siddiqui et a l, 2001) stores alternative domain

definitions for the same protein and organises the domains into sequence and

structural hierarchies. Most of the database creation and update processes are

performed automatically. However, some domains are manually assigned. It contains

non-redundant sets of sequences and structures, multiple structure alignments for all

domain families, secondary structure and fold name definitions. The current 3Dee

release is now two years old and contains 18,896 structural domains.

FSSP

FSSP (Holm and Sander, 1997) is a complete comparison of all pairs of protein

structures in the PDB. It is the basis for the Dali Domain Dictionary (Dietmann

et a i, 2001), a numerical taxonomy of all known structures in the PDB. The taxon­

omy is derived fully automatically from measurements of structural, functional and

sequence similarities. The database is split into four hierarchical levels corresponding

to super-secondary structural motifs, the topology of globular domains, remote

homologues (functional families) and sequence families.

The top level of the fold classification corresponds to secondary structure

composition and super-secondary structural motifs. Domains are assigned to one

of five ‘attractors’, which can be characterised as all-o;, all-^d, a /p , a-P meander and

antiparallel /^-barrels. Domains which are not clearly defined to a single attractor

are assigned to a mixed class. In September 2001, the Dali classification contained

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34,038 domains from 25,808 structures classified into 2,777 sequence families. The

database contains definition of structurally conserved cores and a library of multiple

alignments of distantly related protein families.

SCOP

The SCOP database (Structural Classification of Proteins) is a manual classification

of protein structure (Murzin et a i, 1995). The classification is at the domain level

for many proteins, but in general, a protein is only split into domains when there

is a clear indication that the individual domains may have existed as independent

proteins. Therefore, many of the domain definitions in SCOP will be different to

those in the other structural domain databases. The principal levels of hierarchy

are family, superfamily and fold, split into the traditional four domain classes,

all-a, all-/?, a-\~P and a//?. Release 1.55 of the SCOP database contains 13,220

PDB entries, 605 fold types and 31,474 domains.

1.4 Domains are units of evolution

‘Nature is a tinkerer and not an inventor’ (Jacob, 1977), new sequences are adapted

from pre-existing sequences rather than invented. Domains are the common material

used by nature to generate new sequences, they can be thought of as genetically

mobile units. Many domain families are found in all three forms of life, Archaea,

Bacteria and Eukarya. Domains that are repeatedly found in diverse proteins are

often referred to as modules, examples can be found among extracellular proteins

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associated with clotting, fibrinolysis, complement, the extracellular matrix, cell-

surface adhesion molecules and cytokine receptors (Campbell and Downing, 1994).

The majority of genomic proteins, two-thirds in unicellular organisms and

more than 80% in metazoa, are multidomain proteins created as a result of gene

duplication events (Apic et a l, 2001). Many domains in multidomain structures

could have once existed as independent proteins. More and more domains in

eukaryotic multidomain proteins can be found as independent proteins in prokaryotes

(Davidson et al, 1993). For example, vertebrates have a multi-enzyme polypeptide

containing the GAR synthetase, AIR synthetase and GAR transformylase modules

(GARs-AIRs-GARt) ̂ . In insects, the polypeptide appears as GARs-(AIRs)2-GARt,

in yeast GARs-AIRs is encoded separately from G ARt, and in bacteria each domain

is encoded separately (Henikoff et ai, 1997).

Multidomain proteins are likely to have emerged from a selective pressure during

evolution to create new functions. Various proteins have diverged from common

ancestors by different combinations and associations of domains. Modular units

frequently move about, within and between biological systems through mechanisms

of genetic shuffling:

• transposition of mobile elements including horizontal transfers (between

species) (Bork and Doolittle, 1992);

• gross rearrangements such as inversions, translocations, deletions and duplica­

tions;

^GAR: glycinamide ribonucleotide synthetase/transferase; AIR: aminoimidazole ribonucleotide synthetase

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• homologous recombination;

• slippage of DNA polymerase during replication.

It is likely that all these mechanisms have contributed to the proliferation,

dispersal and loss of protein domains. Some domains are more promiscuous than

others, appearing in a diverse set of protein families and organisms. For example,

the ABC transporter domain constitutes one of the largest domain families that

appear in all organisms (Henikoff et a i, 1997). Many other families tha t appear in

all organisms show much less proliferation. These include metabolic enzymes and

components of translational apparatus.

The simplest multidomain organisation seen in proteins is that of a single domain

repeated in tandem. The domains may interact with each other or remain isolated,

like beads on string. The giant 30,000 residue muscle protein titin comprises about

120 fibronectin-III-type and Ig-type domains (Politou et a i, 1996). In the serine

proteases, a gene duplication event has led to the formation of a two y0-barrel domain

enzyme (McLachlan, 1979). The repeats have diverged so widely that there is no

obvious sequence similarity between them. The active site is located at a cleft

between the two ^-barrel domains, in which functionally im portant residues are

contributed from each domain. Genetically engineered mutants of chymotrypsin

serine protease were shown to have some proteinase activity even though their active

site residues were abolished and it has therefore been postulated tha t the duplication

event enhanced the enzyme’s activity (McLachlan, 1979).

Modules frequently display different connectivity relationships, as illustrated by

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the kinesins and ABC transporters. The kinesin motor domain can be at either end

of a polypeptide chain that includes a coiled-coil region and a cargo domain (Moore

and Endow, 1996). ABC transporters are built with up to four domains consisting

of two unrelated modules, ATP-binding cassette and an integral membrane module,

arranged in various combinations.

Not only do domains recombine, but there are many examples of a domain

having been inserted into another. Sequence or structural similarities to other

domains demonstrate that homologues of inserted and parent domains can exist

independently. An example is that of the ‘fingers’ inserted into the ‘palm’ domain

within the polymerases of the Pol I family (Russell, 1994).

Figure 1.3 displays the connectivity between domains, ordered by their degree of

complexity (Das and Smith, 2000). Although the fourth case represents a two-

domain protein, there is a small chance that the two domains could naturally

exist as single entities, i.e. the mechanism of its formation would require multiple

simultaneous mutations or an internal translocation event. According to this

rule, there should always be at least one continuous domain in a multidomain

protein. This is the main difference between definitions of structural domains and

evolutionary/ functional domains. An evolutionary domain will be limited to one or

two connections between domains, whereas structural domains can have unlimited

connections, within a given criterion of the existence of a common core. Several

structural domains could be assigned to an evolutionary domain.

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Continuous

Single domain

Concatenated domains

Discontinuous

intercalated domains

Interlaced domains

Figure 1.3: The connectivity between multidomain proteins (adapted from Das and Smith (2000)). Cartoon representations of protein 3D structure appear on the left and protein sequence on the right, a) This is a single domain with no connections, b) A two domain protein with a single connection, c) A two domain protein with two connections, resulting from an insertion of one domain into another, d) Finally a two domain protein with three inter-domain connections.

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1.4.1 Domain sequence databases

At present, there are nearly 100 published genome sequences. This mass of sequence

data requires automated annotation, with accurate assignment of biological function.

Since many proteins have multiple domains and, therefore, will sometimes have

multiple functions, there is a need to characterise new sequences at the domain level.

Many databases of protein sequence motifs and domains have been developed for

this purpose. Among these are BLOCKS, COGs, DOMO, Pfam, PRINTS, ProDom,

PROSITE, PROT-FAM, SBASE, SMART and InterPro (see Table 1.1).

BLOCKS

Blocks are short, multiply aligned, ungapped segments corresponding to the most

highly conserved regions of proteins. The rationale behind searching a database

of blocks is that information from multiply aligned sequences is present in a

concentrated form, reducing noise and increasing sensitivity to distant relationships.

The BLOCKS database (Henikoff et ai, 2000) is automatically generated by looking

for the most highly conserved regions in groups of proteins documented in various

domain databases. Version 13.0 of the BLOCKS database consists of 8,656 sequence

blocks generated specifically from proteins in the PROSITE database.

COGs

The COGs (Clusters of Orthologous Groups) database is a phylogenetic classification

of the proteins encoded within complete genomes (Tatusov et a i, 2001). It primarily

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consists of bacterial and archaeal genomes. Incorporation of the larger genomes of

multicellular eukaryotes into the COG system is achieved by identifying eukaryotic

proteins that fit into already existing COGs. Eukaryotic proteins that have orthologs

within different COGs are split into their individual domains. The COGs database

currently consists of 3,166 COGs including 75,725 proteins from 44 genomes.

DOMO

The DOMO database (Gracy and Argos, 1998b) contains domain multiple align­

ments automatically generated from successive sequence analysis steps including

similarity search, domain delineation, multiple sequence alignment and motif con­

struction. It has full coverage of the SWISSPROT and FIR sequence databases

(Bairoch and Apweiler, 2000). The database currently holds 99,058 domains

clustered into 8,877 multiple sequence alignments.

Pfam

Pfam is a collection of protein domain family alignments and prohle-Hidden Markov

Models (HMM) (Bateman et ai, 2000). Pfam is composed of two parts, PfamA

and PfamB. PfamA is the curated section of Pfam and contains manually crafted

multiple alignments and profile-HMMs for 3,071 domain families (version 6.6).

PfamB families are basically those that are in the ProDom domain database that

are not in PfamA and contains 57,477 domain families.

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PRINTS

PRINTS is a database of protein fingerprints (Attwood et a i, 1999). A fingerprint is

a group of conserved motifs used to characterise a protein family. Fingerprints can

encode protein folds and functionalities more fiexibly and powerfully than a single

motif. Release 31.0 of PRINTS contains 1,550 entries, encoding 9,531 individual

motifs.

ProDom

ProDom (Corpet et al., 2000) is a database of protein domain families automati­

cally generated from SWISSPROT and TrEMBL sequence databases (Bairoch and

Apweiler, 2000) using a novel procedure based on recursive PSI-BLAST searches

(Altschul et a i, 1997). Release 2001.2 of ProDom contains 283,772 domain families,

101,957 having at least two sequence members. ProDom-CG (complete genome)

is a version of the ProDom database, which holds only data originating from the

complete genome sequencing projects.

PROSITE

PROSITE (Hofmann et a i, 1999) is a good source of high quality annotation for

protein domain families. A PROSITE sequence family is represented as a pattern

or profile. The profiles provide a means of sensitive detection of common protein

domains in new protein sequences. PROSITE, release 16.46, contains signatures

specific for 1,098 protein families or domains. Each of these signatures comes with

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documentation providing background information on the structure and function of

these proteins.

PROT-FAM

PROT-FAM (Srinivasarao et a l, 1999) is a curated database of homology clusters

produced and maintained within the context of the FIR sequence database (George

et a l, 1996). Sequences are clustered into protein superfamilies, if the homology

between members covers the entire sequence, and homology domains, regions of

local similarity in proteins. PROT-FAM currently contains 8,538 superfamilies and

374 homology domains.

SBASE

SBASE domains are protein sequence segments with known structure and/or func­

tion (Murvai et al, 2000). The boundaries of the domains are either previously

defined within publications or determined by homology to domains with known

boundaries such as those given in the PROT-FAM and Pfam databases. The entries

in release 9.0 of SBASE are clustered into 2,425 statistically validated domain groups

(SBASE-A) and 739 non-validated groups (SBASE-B).

SM AR T

SMART (a Simple Modular Architecture Research Tool) contains profile-HMMs

and alignments for each domain family (Schultz et al, 2000). Alignments are based

on known tertiary structures, where possible, or from homologues identified in a

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PSI-BLAST analysis (Altschul et a i, 1997). Alignments are checked manually for

potential false positives or misassembled protein sequences derived from genomic

sources. Database release 3.3 has 594 domain families found in signalling, extracel­

lular and chromatin-associated proteins. The families are extensively annotated with

respect to phyletic distributions, functional class, tertiary structures and functionally

important residues. User interfaces to this database allow searches for proteins

containing specific combinations of domains in defined taxa.

InterPro

Because the underlying construction and analysis methods of the above domain

family databases are different, the databases inevitably have different diagnostic

strengths and weaknesses. The InterPro database (Apweiler et ai, 2000) is a

collaboration between many of the domain database curators. It aims to be a

central resource reducing the amount of duplication between the databases. Release

3.2 of InterPro contains 3,939 entries, representing 1,009 domains, 2,850 families,

65 repeats and 15 post-translational modification sites. Entries are accompanied

by regular expressions, profiles, fingerprints and HMMs which facilitate sequence

database searches.

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1.5 Domains are autonomous folding units

1.5.1 Protein folding - the unsolved problem

Since the seminal work of Anfinsen over forty years ago (Anfinsen et a l, 1961),

the goal to completely understand the mechanism by which a polypeptide rapidly

folds into its stable native conformation remains elusive. Many experimental folding

studies have contributed much to our understanding, but the principles tha t govern

protein folding are still based on those discovered in the very first studies of folding.

Anfinsen showed that the native state of a protein is thermodynamically stable, the

conformation being at a global minimum of its free energy.

Folding is a directed search of conformational space allowing the protein to fold

on a biologically feasible time scale. ‘Levinthal’s paradox’ states that if an averaged

sized protein would sample all possible conformations before finding the one with

the lowest energy, the whole process would take billions of years (Levinthal, 1968).

Proteins typically fold within 0.1 and 1000 seconds, therefore the protein folding

process must be directed some way through a specific folding pathway. The forces

that direct this search are likely to be a combination of local and global influences

whose effects are felt at various stages of the reaction (Dill, 1999).

Advances in experimental and theoretical studies have shown that folding can be

viewed in terms of energy landscapes (Leopold et al, 1992; Dill and Chan, 1997),

where folding kinetics is considered as a progressive organisation of an ensemble

of partially folded structures through which a protein passes on its way to the

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folded structure. This has been described in terms of a folding ‘funnel’, in which

an unfolded protein has a large number of conformational states available and

there are fewer states available to the folded protein. A funnel implies that for

protein folding there is a decrease in energy and loss of entropy with increasing

tertiary structure formation. The local roughness of the funnel reflects kinetic traps,

corresponding to the accumulation of ‘misfolded intermediates’. A folding chain

progresses toward lower intra-chain free-energies by increasing its compactness. The

chains conformational options become increasingly narrowed ultimately toward one

native structure.

Many experimental studies suggest that protein folding begins with the formation

of secondary structure, followed by the co-operative assembly into tertiary structure

mainly driven by hydrophobic interactions (Dobson and Karplus, 1999). During

the initial stages of folding, regions in the polypeptide will spontaneously form

elements of secondary structure stabilised by a combination of local and long

range interactions, both of which are primarily hydrophobic (Dyson et a l, 1992;

Yang and Honig, 1995b; Yang and Honig, 1995a). Secondary and tertiary structure

are expected to appear simultaneously in a co-operative process (Kim and Baldwin,

1990), where largely pre-formed secondary structures are joined together in a cluster

induced collapse (Heringa and Argos, 1991). This process of folding has been

termed ‘nucleation-condensation’ (Fersht, 1997). There will be many possible folding

pathways because of the many different combinations of secondary structure, but

some pathways will be related since they involve the same secondary structural units.

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Only the proper combination of secondary structural elements will condense to the

native structure.

The fact tha t algorithms used to predict secondary structure are at best 75%

accurate, suggests that some of the observed elements of secondary structure in

proteins are formed from non-local interactions (Honig, 1999). Also, the free

energy difference between a-helical, ^-sheet and unstructured coil conformations

for most sequences is small enough that their structures can be interchangeable,

demonstrating tha t proteins have a structural plasticity that allows them to change

conformation readily. The tertiary interaction will make the final selection to the

actual native topology.

The organisation of large proteins by structural domains represents an advantage

for protein folding, with each domain being able to individually fold, accelerating the

folding process and reducing a potentially large combination of residue interactions.

However, the role of inter-domain interactions in protein folding and in energetics

of stabilisation of the native structure, probably differs for each protein. In T4

lysozyme, the infiuence of one domain on the other is so strong tha t the entire

molecule is resistant to proteolytic cleavage. In this case, folding is a sequential

process where the C-terminal domain is required to fold independently in an early

step, and the other domain requires the presence of the folded C-terminal domain

for folding and stabilisation (Desmadril and Yon, 1981).

It has been found that the folding of an isolated domain can take place at

the same rate or sometimes faster than that of the integrated domain (Teale and

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Benjamin, 1977). Suggesting that unfavourable interactions with the rest of the

protein can occur during folding. Several arguments suggest that the slowest step in

the folding of large proteins is the pairing of the folded domains (Garel, 1992). This

is either because the domains are not folded entirely correctly or because the small

adjustments required for their interaction are energetically unfavourable (Creighton,

1983), such as the removal of water from the domain interface.

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Chapter 2

The im portance of domain prediction

2.1 Post-genome sequence analysis

Comparisons of the protein content encoded within a genome between many organ­

isms will be a powerful tool for identifying the components of functional systems and

reconstructing their evolution. Proteins perform their function by interacting with

each other in co-ordinated networks (Eisenberg et a i, 2000). But only a fraction of

these networks have been identified and characterised through classical biochemistry,

structural analysis and assays of activity.

Several computational strategies have been introduced to construct networks of

protein interactions. Sequence similarity searches among genomes of various species

can identify orthologs (closely related gene sequences between species) and paralogs

(closely related gene sequences within a species, originating from gene duplication)

that encode proteins of known function. Phylogenetic profiling identifies genes that

have the same pattern of presence or absence across multiple species, revealing

sets of proteins that have co-evolved, and are therefore likely to act in the same

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cellular process (Pellegrini et ai, 1999). The Rosetta Stone method is based on the

observation tha t many proteins consist of multiple domains in one organism, but

are present as separate proteins in another organism (Marcotte et ai, 1999). The

existence of the multidomain protein clearly indicates that the separate domains

interact in the second organism.

The post-genome sequence era holds much promise for understanding the mech­

anistic basis of organism development, metabolic process and disease, but there are

still caveats to current analysis methods. Not all protein encoding genes in a genome

will be found by current predictive methods and some of those tha t are found may

be false. There are two general approaches to gene finding. Comparative sequence-

based methods include the use of known mRNA sequences as well as gene families.

Ab initio methods include detection of exons and other sequence signals, like splice

sites, by various computational methods. Gene identification or prediction methods

are currently not accurate because little is known about the structure of genes. Also,

highly similar sequence fragments could be found in several diflPerent genes that may

have similar or entirely different functions or are non-functioning pseudogenes.

2.1.1 Sequence analysis

The concept of the domain is critical to all analysis of sequences (Russell and

Ponting, 1998). In order to extract the maximum amount of information from the

rapidly accumulating genome sequences, all conserved genes need to be classified

according to their sequential relationships (Tatusov et a i, 1997). The organisation of

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sequences into families is of utmost importance to provide evolutionary, functional,

structural data and to organise the masses of sequential data into a manageable

database. In cases where the proteins consist of several domains, errors within

families can occur. Figure 2.1 shows an example in which three multidomain

proteins, x, y and z, are incorrectly assigned to a single family. Protein x contains the

tyrosine kinase catalytic domain (Tyrkc) and Src homology 3 domain (SH3), and is

homologous to protein y, which contains domains SH3 and phosphotyrosine-binding

domain (PTB). Protein y is homologous to protein 2, which contains domains PTB

and PDZ, a domain found in signalling proteins. All proteins would be clustered

into the same family, but proteins x and 2 are not related and these proteins

are incorrectly associated through homology to protein y. Therefore, domain

identification is essential for accurate clustering of sequences.

Figure 2.1; Errors in sequence comparison. Protein diagrams {x,y and z) have been taken from the SMART database (Schultz et a/., 2000). Protein x is wrongly assigned to the same family as protein 2, through association by protein y.

Sequence database searching became possible in the late eighties by fast heuristic

algorithms such as PASTA (Pearson and Lipman, 1988) and BLAST (Altschul

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et ai, 1990). Recent improvements in database search methods have come from

using multiple sequence alignments of a protein family to find additional family

members (Thompson et ai, 1994; Taylor, 1998; Altschul et al, 1997). Multiple

sequence alignments contain family specific information, including structurally or

functionally important positions that are not identifiable within a single sequence.

To utilise information held within a multiple alignment, a position specific scoring

matrix (PSSM) is constructed (Gribskov et ai, 1987; Luthy et ai, 1994). A PSSM,

or profile, models how likely each amino acid is to occur at every position in the

alignment. The profile is then aligned to all sequences in a database to find new

family members. Profile-based methods greatly improve the sensitivity of database

searches; it has been reported that they can find three times as many homologues

when compared to single sequence comparison algorithms (Park et a l, 1998).

Iterative sequence search methods can be a powerful way to find distant homolo­

gies, but often fail when querying a multidomain protein. For example, common

protein domains such as the tyrosine kinase domain can mask weak, but relevant

matches to other domain types (Sonnhammer and Durbin, 1994). Conversely, some

searches may lead to premature convergence. This occurs when the PSSM is too

strict and only allows matches to very similar proteins, i.e. only database sequences

that have the same domain organisation as the query sequence are found.

Multiple sequence alignments can find useful information elucidating structure

and function. The construction of multiple sequence alignments is hindered by

the presence of domains that are repeated or have varying connectivity; errors will

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occur when trying to align a two-domain protein with domain architecture A-B to

a protein with domains B-A. In the same way, domain insertions, A’-B-A”, will

cause problems. Also, different subsets of homologous domains may differ in their

domain limits; for example, the Ras exchanger SOS pleckstrin homology domain

(PH) may require an additional a-helix for structure and function compared to

other PH domains (Zheng et a l, 1997). Domain content has not been addressed

in current sequence analysis methods, but it is of utmost importance if successful

automated methods are to be developed.

2.2 Protein structure elucidation

The recognition of structural domains in proteins is also an important pre-requisite

for many areas in protein science such as NMR based structural elucidation and

fold recognition by reverse folding or threading mechanisms. Prediction of protein

structure by threading techniques is best approached at the domain level (Siddiqui

and Barton, 1995). Prediction of protein class (all-a, all-/?, a~P and a//?) from

sequence is hampered in the presence of multidomain proteins. Dividing a protein

into domains would aid class prediction and subsequently lead to the optimisation

of secondary structure prediction (Gamier et al, 1978).

A successful strategy used for NMR structural studies of proteins that are large,

membrane-bound or have considerable domain motion, has been the ‘divide and

conquer’ approach (Campbell and Downing, 1994). In this method the protein is

dissected into modular units that are individually studied and once the structures

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are known the overall shape of the entire protein can be reconstructed. This has

allowed the large muscle protein titin to be structurally studied (Pfuhl and Past ore,

1995). The successful application of this technique strongly relies on the independent

folding of the selected amino acid sequence. A pre-requisite for the correct folding

and stability of a domain is the accurate delineation of its boundaries. Poor cutting,

by a few residues in some cases, can lead to unfolding and aggregation of expressed

protein (Ccistiglone et ai, 1995).

2.2.1 Struct ural genomics

The completion of many genome-sequencing projects has led to an astronomical

growth in sequence data, leaving the massive task of structural and functional

annotation. However, although rapidly increasing, the current rate of structure

determination is lagging behind. The PDB (Berman et ai, 2000) contains the 3D

structures of only -690 distinct protein folds (Orengo et a i, 2001). Knowing the

3D structure of a protein is essential for understanding function at the molecular

level, analysis of evolution and the design of new proteins and drugs. The vast and

widening gap between sequential and structural data has given rise to structural

genomics initiatives. One aim of structural genomics is to experimentally determine

over 10,000 3D structures to represent the majority of protein families over the

next decade (Elofsson and Sonnhammer, 1999). These representative structures

will provide the basis for accurate comparative modelling. If significant amino acid

similarity is found between a novel sequence and a protein of known 3D structure, a

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3D model of the novel protein can be constructed using computer modelling, on the

basis of sequence alignment and the known 3D structure. Comparative modelling

could assign 3D structure to the whole protein universe.

A major bottleneck encountered by structural determination is the preparation

of soluble constructs. Insolubility accounts for 60% of experimentally recalcitrant

proteins (Christendat et ai, 2000), often from the constructs being too large or

containing sequence regions that are ‘natively unfolded’ (Weinreb et al, 1996).

Knowledge of the exact domain location within a sequence will greatly improve

the coverage of structural genomic initiatives.

2.3 Current methods

2.3.1 Limited proteolysis

The classical experimental method for detecting domains in proteins is limited

proteolysis, where a protein sample is subjected to a course of proteolytic digestion.

The approach works because regions in a protein that are compact and stable

are more resistant to proteolytic cleavage than other less-structured ones. The

generation of stable domains can be monitored by several methods: high perfor­

mance liquid chromatography (HPLC) or sodium dodecyl sulphate polyacrylamide

gel electrophoresis (SDS-PAGE) with later sequencing or mass spectrometry. Direct

monitoring using circular dichroism (CD) can also be used. Further information

regarding techniques for limited proteolysis studies can be found in the review by

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Peng and Wu (2000).

In order for a domain fragment to be detected by limited proteolysis the rate of

production of a fragment must be faster than its degradation. Therefore, a lack of

a fragmentation does not mean there is no domain organisation. Also, dénaturation

experiments can cause aggregation of fragments and chemical modifications may

cause a conformational change in the protein that exposes new sites that are not

accessible in the native structure. Finally, some experimental procedures can be

time consuming and costly in comparison to computational methods.

2.3.2 Domain prediction from RNA

Exons, introns and modules

There is a widespread, mistaken belief that exons encode domains (Gilbert and

Glynias, 1993; Doolittle, 1995). This belief has been encouraged by the notion

tha t primitive proteins were once encoded by ‘minigenes’ that were spliced together,

the genome eventually maturing into a state where coding regions were separated by

introns (Seidel et ai, 1992; Dorit and Gilbert, 1991). The ‘intron early’ view believes

that the prokaryotic lineage has lost all introns over the course of time and therefore

‘streamlined’ the genome, quickening replication times (Gilbert and Glynias, 1993).

The ‘intron late’ view believes that introns were added later in eukaryotic evolution.

The phylogenetic distribution of introns clearly shows that most of them have been

inserted during eukaryotic evolution in an ongoing process. In fact, there is no

evidence that introns existed before the prokaryote-eukaryote split (Logsdon, 1998).

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The mere presence of introns will incur extra cost in energy and time during

replication. The most likely reason for introns to flourish in eukaryotes is the number

of potential protein products produced from a single gene by alternative splicing

events, providing a functional diversity (Dibb, 1993). Also, introns are often found

to contain regulatory elements (Duret, 2001).

The intron early - intron late debate is still heated. A recent study by de Souza

et a l (1998) identified that 65% of introns studied have been added to pre-existing

genes, but the remaining 35% are ancient and relate to the boundaries of small

modular protein structures (averaging at 30 residues), suggesting that introns were

indeed present in prokaryotes separating units of structure. These ancient introns

were found to be in phase with (between) the triplet codons, whereas new introns

are out of phase and are randomly inserted. Recent studies of the human, fly and

worm genomes found that most exons fall within the range of 50 and 200bp, with a

peak at about 125bp (International Human Genome Sequencing Consortium, 2001).

This falls short of the average size of domains, which would be about 300bp. Intron

sizes were found to differ substantially among the three species resulting in a great

variation in gene size. With this knowledge in mind, reliable domain prediction from

the analysis of exon-intron boundaries in pre-mRNA is probably not possible.

Translational pause and protein domain organisation

The rate of protein translation is non-uniform along the mRNA because regions

that have rare codons or form secondary structures in the mRNA are likely to

pause the ribosome during translation (Varenne et a i, 1984). Such regions have

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been suggested to correlate with protein structural boundaries (Purvis et a i, 1987;

Krasheninnikov et a i, 1991). Given that a polypeptide can fold co-translationally,

slow regions will allow a growing nascent polypeptide to complete its folding rapidly

and reliably before more polypeptide is synthesised.

Although no direct experimental evidence is yet available, some observations

do indirectly support this theory: expression of eukaryotic proteins in bacteria will

often produce proteins that are insoluble. For example, it has been shown that highly

expressed genes utilise distinct species-specific subsets of synonymous codons, which

are tailored for effective mRNA translation (Ikemura, 1985). This leads to species

specific codon bias, which may interfere with the expression of foreign genes (Kane,

1995).

A study by Thanaraj and Argos (1996b) found a clear correlation between

slowly translated regions in mRNA and domain boundaries in a selection of proteins

from Escherichia coli. Also, regions corresponding to fast codons tend to adopt a-

helical conformations in the protein while those in slow regions are often in ^-strand

conformations (Thanaraj and Argos, 1996a). Conversely, a study by Brunak and

Engelbrecht (1996) found that inter-domain sequences were not correlated to rare

codon usage and it was observed that rare codon clusters were preferably found in

regions corresponding to protein secondary structures.

Due to the degeneracy of the genetic code, the mRNA sequence is, in principle,

more information-rich than the sequence of amino acids. However, using the mRNA

for training methods to predict protein secondary structure is found to be less

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accurate than using the amino acid sequence in predictions (Brunak and Engelbrecht,

1996). No study has yet looked at the influence of RNA secondary structures on

protein folding. Methods to predict RNA secondary structure are now available

(Rivas and Eddy, 1999). Regions in mRNA that form secondary structure would

indeed slow translation. It will be interesting to see if such regions correspond to

domain boundaries.

2.3.3 Inferring domains and their boundaries from comparative

sequence analysis

One way to successfully identify putative domains in a query sequence has been to

search the many domain databases (see Chapter 1). Some obvious caveats make such

an approach not always the best at finding domains. A query sequence may have

no homologous sequences within the database, domains may not be characterised

within the database or, worse, there may be incorrect domain annotation. Domain

boundaries cannot be recognised without some domain reordering among related

proteins. If two structural units are always observed in the same consecutive order

along their respective protein sequences, there are no positional constraints to define

domain boundaries. In this case, only tertiary structural conformation can point to

the actual domains. Several automatic sequence-domain detection algorithms have

been developed based on comparative sequence analysis.

DOMAINER (Sonnhammer and Kahn, 1994) had previously been used to

generate the ProDom database. The method begins with an all-against-all BLAST

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(Altschul et a i, 1997) comparison of all sequences in the SWISSPROT sequence

database (Bairoch and Apweiler, 2000) to generate a list of homologous segment

pairs that are clustered into homologous segment sets. Sequence positions between

homologous segment sets are kept as links that indicate their relative location in

a sequence, resulting in a large number of links forming graphs. Three situations

indicate domain boundaries; real N- or C-termini, shuffled domains and repeating

units. If a junction between two sets satisfies one of the above criteria, then the

graph is split into two at that junction. Finally, multiple alignments are constructed

by finding the most representative linear path through the graph and concatenating

the sets in the path.

The current release of ProDom uses MKDOM version 2 (Gouzy et ai, 1999),

which is based on the assumption that the shortest sequence in a sequence database

represents a single domain. This version of MKDOM iterates a loop of three steps,

i) Selection of the shortest sequence (>20 residues) for a query from a non-redundant

database, ii) PSI-BLAST (Altschul et ai, 1997) is run iteratively over the database

until no more sequences are found or until a maximal number of iterations are

reached, generating a domain family, iii) All domain sequences identified in the

previous step are removed from the database, the remaining sub-sequences are

returned to the database. The process is terminated when the database becomes

depleted.

The DOMO database (Gracy and Argos, 1998a) is constructed from an all-

against-all comparison of residue composition of the sequences in the SWISSPROT

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(Bairoch and Apweiler, 2000) and PIR (George et al., 1996) databases. Domain

boundaries are inferred from the positional constraints derived from various de­

tected pair-wise sequence similarities. The algorithm clusters overlapping pair-wise

similarities into anchors. An anchor is defined as a set of similar protein sequences

that align without gaps. Using the anchors, domain boundaries are assigned. These

are inferred from true N- and C-termini or anchored repeats. The maximum length

of a domain can be obtained easily if repeats within a single sequence are present.

Following the thus identified boundaries, each sequence is spliced into all possible

corresponding domain fragments. The resulting related sequence fragments for a

domain family are multiply aligned by dynamic programming (Smith and Waterman,

1981). Each multiple alignment is extended toward the N- and C-termini, provided

that acceptable levels of similarity are found.

The PASS (prediction of autonomous folding units based on sequence similarities)

method uses a simple technique of domain delineation based on the stacking of

sequences from a BLAST (Altschul et al, 1990) search onto the query sequence

(Kuroda et a l, 2000). Regions along a query sequence will often have a varying

number of matching sequences from the BLAST data, leading to abrupt increases

and decreases in sequence numbers along the query. Domain start and end positions

are found by finding regions with a greater than 20% increase in the number of

BLAST hits and the slope of the plateau following the change is less than 10% over

30 residues.

The algorithm described by Adams et a l (1996) begins with a measure of

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sequence similarity between all pairs of sequences in a database using dynamic

programming to generate a full similarity matrix. A similarity graph is then

generated in which each node corresponds to a sequence and the edges correspond

to similarity scores between sequences. A connected graph with a minimum number

of edges is constructed by dynamically filtering pair-wise similarities. The graph is

then decomposed into ‘cliques’, each clique representing a set of protein sequences

potentially sharing at least one region of similarity above a threshold. Common

element patterns are then constructed for those regions of similarity among the

members of these maximal cliques (Smith and Smith, 1992) and sequences composing

the clique of the highest cardinality are iteratively aligned via intermediate shared

patterns. Each maximal clique pattern is then matched to all sequences. The

sub-sequences, representing domains, matching the patterns are then removed and

replaced by gap characters. The process is iterated until all regions containing a

pattern common to at least two members have been identified and removed from

the database.

GEANFAMMER is a suite of programs that divides a set of protein sequences

into families (Park and Teichmann, 1998). It has three main parts: a sequence

matching procedure, clustering of the sequences and domain cutting with DIV-

CLUS. Initially, sequences are compared using an implementation of the Smith and

Waterman algorithm (Smith and Waterman, 1981). Single linkage clustering is used

to connect sequences to one another by similarity, using an upper E-value limit.

DIVCLUS then inspects each cluster in an iterative manner, successively testing

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The importance o f domain prediction

pairs of sequences for significance and extent of alignment between them. Three

sequences are accepted as belonging to the same domain family if the matching

regions overlap by greater than 30 residues and the overlapping region represents over

70% of the overlap of the shorter of the two pairs. If three sequences are accepted as

having a common homologous region, the common overlap segment becomes the new

‘overlap sequence’, which is tested against succeeding pairs of sequences. Accepted

sequences are then merged. In this way non-matching segments are removed from a

cluster.

GENERAGE is an algorithm developed for the clustering of protein sequences

between and within complete genomes (Enright and Ouzounis, 2000). BLAST

(Altschul et a i, 1990) is used in an all-against-all analysis and a bit-wise matrix is

created, ‘1’ for significant similarity and ‘0’ for no similarity between two proteins.

To correct opposing results, e.g. if protein A matches protein B, but the reverse

is false, a Smith and Waterman alignment is used (Smith and Waterman, 1981).

Multiple domain proteins are detected by observing a case where protein B matches

both protein A and C, but A and C do not match. To confirm that there is no

significant similarity between A and C a Smith and Waterman alignment is again

used. A recursive single linkage clustering operation is then performed on the

constructed matrix to obtain a similarity table and table of cluster assignments.

Multidomain proteins can be shared between multiple clusters without introducing

negative relationships, therefore the exact domain boundaries are not required.

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2.3.4 Domain prediction from statistical measures

Wheelan et al. (2000) have described a method to predict domain boundaries based

on the observation that domains have strict limits on their sequence size. Their

method, ‘Domain Guess by Size’, calculates the likelihood of partitioning a sequence

into one or more domains from the distribution of domain sizes in a set of proteins

of known 3D structure. It is accurate at finding the domain boundaries within two

domain proteins, but fails when proteins have more than two domains.

2.3.5 Predicting domains by physical principles alone

There have been many algorithms developed for the assignment of domains by

sequence comparison, but there are only a few methods for the assignment of

structural domains based on physical principles alone. Despite the creativity in these

early approaches, none appeared successful in providing reliable domain boundary

predictions.

The algorithm developed by Busetta and Barrans (1984) attem pts to predict

boundaries and class of domains in proteins by simulating folding of the polypeptide

chain. They start with the analysis of a set of 52 proteins of known tertiary structure,

allocating structural character to each of the 20 amino acids, i.e. conformation,

specific contacts, strand direction and estimation of association energies between

residues of different strands. From these propensities they derive energies tha t are

used in the prediction of secondary structure. Each predicted secondary structure

is considered as a nucléation point and each given a ‘formation energy’ calculated

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The importance o f domain prediction

for each pentapeptide within the secondary structure. Simulation of folding begins

at the nuclei with the highest formation energy. The nuclei may interact with each

other according to their sequential remoteness, their accessibility and calculated

‘decision constants’ for each residue, with a view to determine the preferred positions

of regular backbone structures and the strength of interaction. When two nuclei

interact, they form larger nuclei with greater formation energy. All nuclei are

successively considered. When all the initial secondary structures are involved in

structured domains, the folding process stops and the domain boundaries are defined

where the strength of interaction between secondary structures is weakest.

All multidomain proteins in a test set of eleven protein chains had two domains,

and one domain boundary each as defined by Wodak and Janin (1981). Only five

chains out of the test set had their boundaries predicted to within 10 residues of the

actual domain boundary. The method described here attem pts to predict secondary

structure in single protein sequences; it has been observed that predictions using

multiple alignments can give much higher accuracies (Levin et ai, 1993).

Vonderviszt and Simon (1986) base their method on finding regions of low

strength short range interactions in plots of statistically determined short-range

preferences between amino acids along the polypeptide chain. In a previous study

of nearest and next nearest amino acid pairs in protein sequence (Vonderviszt et ai,

1986), they observed that short-range regularities exist in the primary structure,

and concluded that every amino acid has a characteristic sequential environment.

They suggest that short-range interactions play a dominant role in the stabilisation

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of protein structure and the conformation of inter-domain segments is determined

mainly by domain-domain interactions. The interactions between consecutive amino

acids at domain boundaries or at the hinge region between domains are presumably

less strong in comparison to short-range interactions inside the domains. They

used statistically determined association potentials (Narayana and Argos, 1984)

to determine interactions between amino acids, combining these with their own

statistical data of residue pair preferences.

The authors tested their algorithm on four multidomain proteins. Amino acid

propensities were assigned to each residue along the protein and then smoothed

using a window length of eleven. The results showed domain boundaries as minima

in the scans. Although domain boundaries do appear as minima there are other

significant minima within the domains, often corresponding to residues within known

a-helices and ^0-strands. The authors concluded that regions of minima are likely to

be stabilised by long-range interactions. A study by Valdar (1997) tested the above

method against six multidomain proteins and concluded that the algorithm is flawed

and unreliable as a predictive tool.

The method described by Kikuchi et al. (1988) can be used to locate structural

domains in proteins of known structures or to predict the presence and position of

domains in proteins of unknown structure. Predictions are made by analysing the

density of occurrence of contacts in various regions of a contact map. This map

can either be generated from the known 3D structure of a protein molecule, the

real distance map (RDM), or from the analysis of a contact map of the amino acid

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The importance o f domain prediction

sequence, the average distance map (ADM), generated from statistical data.

The contact map is a variant of the distance map. The distance map is a 2D

representation of a 3D structure. The distance map for a protein of N residues is an

N X N matrix, in which each element i j denotes the distance between the Ca atoms

of residues i and j . The contact map (Tanaka and Scheraga, 1975) is essentially a

binary matrix in which non-zero elements represent Ca-Co! distances that are within

a fixed cut-off distance (or when at least one pair of their atoms is at van der Waals

contact distance).

Interactions between residues i and j in a protein are subdivided into several

ranges, according to the separation in the amino acid sequence, i.e. short, medium

and long-range corresponding to A; < 8, 9 < A; < 20 and k > 21, respectively,

where k is the sequential distance between residues i and j (Wako and Scheraga,

1982). Long-range interactions are further subdivided into several groups. Within

each range, excluding short-range interactions, average spatial distances between

every pair of amino acid residues are computed from a database of 42 known protein

structures. If the average distance for a given pair of residues is less than a cut-off

distance then this pair is predicted to form a contact. The ADM is constructed by

plotting all pairs in contact.

The ADM is analysed for occurrences of regions with high densities of contacts,

compact regions. Determination of boundaries of compact regions are based on

changes of the density that occur when the contact map is scanned horizontally.

Domain assignments using both the RDMs and the ADMs were consistent with

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other methods. The length of the sequence assigned to a domain was generally

shorter than by other methods, pinpointing the domain’s ‘most compact core’.

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Chapter 3

Aim of this study

The overall aim of this study is to predict protein structural domains in sequence

using computational methods. Some important observations make domain boundary

assignment feasible.

1. Domain linking oligopeptides show distinct characteristics. Argos (1990)

carried out a statistical study of natural linkers with the aim to design

independent linkers for gene fusion. He constructed a set of 51 linkers from

visual inspection of 32 proteins. The amino acids Thr, Ser, Pro and Asp were

found to be desirable linker constituents.

2. Compositional complexity can distinguish globular and non-globular regions

of protein sequences (Wootton, 1994). Compact globular structures in protein

molecules are shown to be determined by amino acid sequences of high

informational complexity, sequences of known protein 3D structure differ only

slightly from randomly shuffled sequences. In contrast, the sequences in

the SWISSPROT database (Bairoch and Apweiler, 2000) have approximately

one quarter of residues occuring in non-random, low complexity, segments

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Aim o f this study

(Wootton, 1994). Low complexity regions have been used to separate domains

(Gouzy et ai, 1999).

3. Transmembrane regions are points where domains can be separated (Bateman

and Birney, 2000). Transmembrane helices span a cell membrane connecting

intracellular and extracellular domains. Prediction of transmembrane helices

is very accurate, because they usually consist of a stretch of 20 hydrophobic

amino acids (Rost et ai, 1996).

4. Domains in many proteins are repeats of the same basic sequence stretch

(Heringa, 1998). The sequential partition between repeats can identify the

length and boundaries of repetitive domains. Many methods are available to

identify distant repeats in sequence (George and Heringa, 2000).

5. Domains have limits on size (Savageau, 1986). The size of individual structural

domains varies from 36 residues in E-selectin to 692 residues in lipoxygenase-

1 (Jones et al, 1998), but the majority, 90%, have less than 200 residues

(Siddiqui and Barton, 1995) with an average of approximately 100 residues

(Islam et al, 1995). Very short domains, less than 40 residues, are often

stabilised by metal ions or disulphide bonds. Larger domains, greater than

300 residues, are likely to consist of multiple hydrophobic cores (Garel, 1992).

6. Domains fold autonomously (Wetlaufer, 1973). The fact that an individual

domain can fold into a compact structure with a single hydrophobic core

and without conflict with its neighbouring domains suggest tha t there is an

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Aim o f this study

underlying mechanism required that might be identifiable from sequence data.

This study attem pts to define the basic properties of domains, including the

distribution of hydrophobic residues within a polypeptide and an analysis of

oligopeptides connecting domains. Based on these properties, methods of domain

boundary prediction are developed.

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Part II

The nature o f domains; an analysis

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Chapter 4

Accessibility, hydrophobicity and m ultiplicity

The main driving force of protein folding is to bury hydrophobic side chains into the

interior of the molecule, creating a hydrophobic core and a hydrophilic surface. The

principle was first described by Langmuir (1938), but was not fully accepted until a

review by Kauzmann (1959). Since then there has been an abundance of research

to understand the hydrophobic effect.

Waugh (1954) first noted that there might be a relationship between the ratio

of polar to non-polar residues and molecular structure and formulated the concept

of a polar outer volume and non-polar inner volume. Fisher (1964) stated that the

ratio of polar to non-polar residues imposes limits on the size and shape of a protein

molecule. Fisher assumed that the thickness of the polar outer layer of amino acids

remains a fixed depth of 4A, acting as a shell around the buried non-polar amino

acids, and tha t there must be a limited number of non-polar residues in a protein

so tha t they can be completely enclosed, a sphere would represent the limiting case.

If a protein would have a proportion of non-polar residues above this limit, the

protein would have to aggregate in order to bury the exposed non-polar residues.

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Accessibility, hydrophobicity and multiplicity

as seen in protein complexes. Conversely, if the proportion of non-polar residues

were to decrease in comparison to the number of polar residues, the core volume

would decrease and would be unable to form a spherical shape. To accommodate

a lower number of non-polar residues, a protein would have to assume a long thin

tertiary structure that is essentially a rod with a greater surface area to volume

ratio. It was further noted that a small polypeptide cannot tolerate more than

30% of hydrophobic residues as a greater number would lead to protein aggregation

(Van Holde, 1966).

In this chapter, we first analyse the extent of surface accessibility (SA) between

proteins with varying domain content and look at the types of amino acids exposed

or buried within these proteins. Secondly, we examine the extent to which the distri­

bution of hydrophobic residues, along the protein chain, influences the multiplicity

of domains in proteins.

4.1 Interfaces and cores of multidomain proteins

A non-redundant data set (less than 50% pair-wise sequence identity) of high

resolution water soluble protein chains was selected from the PDB using the

method described in Taylor (1998). This set consisted of proteins derived from

crystallographic studies. All membrane spanning proteins were excluded by simply

looking for the key words COAT, MEMBRANE, PHOTO and RECEPTOR in the

header of the PDB files.

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Accessibility, hydrophobicity and multiplicity

4.1.1 Domain assignment

We use the technique of Taylor (1999) to delineate the domain boundaries. This

method first assigns to each residue in the protein structure a numeric label,

initially the sequential residue number. It then iteratively changes the labels of

the residues based on their respective neighbourhoods. If a residue is surrounded

by neighbours (within a given radius r) with, on average, a higher label than the

central residue, its label is increased by one; otherwise it is lowered by one. This

test and label reassignment is made repeatedly to each residue in the protein chain

until convergence is reached. This neighbourhood-based iteration protocol results

in compact regions iterating towards the same residue number. The final domain

boundaries are then assigned in between such compact domain regions.

4.1.2 Assigning residue environment

Each amino acid in our data set of structures is assigned a SA by the program DSSP

(Kabsch and Sander, 1983a). A residue’s SA is simply a measure of its contact to

water. All SA measures were normalised using values derived by Chothia (1976).

Each amino acid was defined as one of two states; core or exposed. Core residues

are those residues with a SA of less than 10%. If a residue is buried in the complete

protein structure and then exposed after domain separation, the residue is assigned

to the interface between domains, i.e. before domain separation the SA is < 10%

and after domain separation the change in SA is > 10%. Residues with a SA > 10%

are assigned to the surface. The propensity for an amino acid to be buried, exposed

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Accessibility, hydrophobicity and multiplicity

or at the interface between two domains was calculated in the following way:

where Pa is the propensity for amino acid i, Nvi^e and Nvi^t are the number

of amino acid i in the environment (e) and in the full protein set (t) respectively.

E l and are the total number of amino acids in the environment and

in the full protein set respectively. A logarithmic scale was used, logioPa, to make

the values more comparable. Favourable residues have a value greater than 0 and

unfavourable residues have a value less than 0.

The calculated propensities are utilised to predict whether a residue is exposed or

buried. The amino acid propensities are smoothed over the sequence using a running

window with a length of three residues. Richardson and Barlow (1999) described

a similar method of prediction, intended to be used as a baseline to which more

sophisticated approaches can be judged. To their surprise, the baseline method was

often found to out perform more complex methods. A Jack-knife method was used

on the data set to test the accuracy of predictions; for a set of n structures, n-1

were used to calculate the residue propensities and the remaining one to assess the

success of prediction.

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Accessibility, hydrophobicity and multiplicity

4.1.3 Results and discussion

The protein data set contained 1,101 single domain and 663 multidomain protein

chains (Figure 4.1). Figure 4.2 shows the percentage of exposed residues as assigned

by DSSP. Although there is a large overlap between the two sets of multidomain

and single domain proteins, there is a clear increase in the percentage of surface

residues with an increase in domain number for proteins of similar length. The plot

was scanned by eye for single domain proteins that were isolated from the bulk of

that set and surrounded by multidomain proteins. Of these, three are membrane

spanning (not identified by our simple scanning of the PDB header files), and seven

were classed as multidomain in the GATH database. The logarithmic regression

coefficient (fitted curve) for each set was calculated to be -0.146 and -0.118 for single

and multidomain proteins, respectively.

1500.0 I

1000.0

500.0

0.00 1 2 3 4 5 6

N o. of structural d o m a in s

Figure 4.1: Domain number distribution in the set of 1,764 non-redundant proteins.

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Accessibility, hydrophobicity and multiplicity

c c c c c c ccd cd cd c3 cds s a s s s so o o o o o o

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oo o

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Figure 4.2; a) Percentage of solvent exposed residues assigned by DSSP.

82

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Accessibility, hydrophobicity and multiplicity

a a c c c a c£ £ £ S S G £o o o o o o o

"O "O "O "O "O 13 73^ (N m Tf 1/1 \o

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CDCDC(DD(T(D

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S9npiS9J pQSOdXQ JO ‘OlsJ

Figure 4.2 b) Average percentage of solvent exposed residues and sequence lengths for each protein set. Bar length corresponds to standard deviation.

83

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Accessibility, hydrophobicity and multiplicity

The amino acid propensities in the core and surface of the protein are the same

for both single and multidomain proteins. As expected, polar residues are more

prominent at the surface than non-polar residues (Figure 4.3). The hydrophobic

residues alanine and valine have no preference to be at the domain interface, but

show high preferences to be buried in the core and not to be at the surface, indicating

that domain interfaces are intermediate to the core and surface environments. The

overall residue composition at domain interfaces are more like the composition

seen in the domain core than the domain surface, but there are a few exceptions.

Tryptophan and tyrosine both have a high propensity for domain interfaces, but

have no preference for core or surface environments. Although rare, tryptophan is

often found in binding sites of many proteins due to its largely hydrophobic surface.

It has an important role in stabilising protein tertiary structures by binding to

other residues with aromatic side chains, often far away in sequence (Samanta et al.,

2000). For example, tryptophan has been found to play an important stabilising

role in alpha-glutathione transferases by the packing of its indole side chain from

domain I into a hydrophobic pocket in domain II (Wallace et a i, 2000). Methionine

and phenylalanine also have a higher preference for the interface compared to the

other environments.

The findings here are different to those made in the study by Jones et a i (2000),

who found domain interfaces to be composed of residues generally the same as those

on the protein surface. This led to their hypothesis that multidomain proteins have

folding pathways in which individual domains fold first prior to a collapse into a

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Accessibility, hydrophobicity and multiplicity

2.0

■tIqI

0.5

— exposed interface

0.0

A m ino acid

Figure 4.3: Residue propensities for core, exposed and domain interface. Residue sample sizes are 100461, 133734 and 6812 for core, exposed and interface respectively.

stable multidomain structure. This study would not support this view, but suggests

folding and the formation of inter-domain interactions occur simultaneously. Both

folding pathways are likely to occur and will vary from protein to protein.

The prediction of residue exposure using the amino acid propensities is 67.0%

accurate. By comparing the predictions to the percentage SA values plotted in

Figure 4.2, it may be possible to predict the number of domains in a protein. Based

on this idea, we later employ a protein folding method to identify the core and surface

of a protein and from the final protein models predict the number of domains and

their boundaries (Chapter 8).

It is important to note that this analysis has been applied to single protein chains

and not complexes. This means that residues positioned at the surface of domains

may in fact be buried within a protein-protein interface. Also, methods to assign

structural domains in known structures are based on single polypeptide chains only.

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Accessibility, hydrophobicity and multiplicity

Domain assignment methods have so far not been applied to locate domains in

oligomeric proteins, in which a domain may be constructed from shared chains. It is

likely that a more exact definition of residue propensities for various environments

will be gained if oligomeric proteins are considered.

4.2 Distribution of hydrophobic residues in multidomain

proteins

In this study, we used the domains assigned in the CATH domain database release

1.7b (Orengo et al, 1997).

4.2.1 Calculating average hydrophobicity

A simple binary hydrophobicity scale for each amino acid is adopted, that values all

hydrophobic residues as 1 and all others 0. There is considerable debate as to the

proper hydrophobicity scale for the 20 amino acids (Engelman et a i, 1986). Here

we use the assignment used by White and Jacobs (1990) where eleven amino acids

are considered as hydrophobic: Ala, Cys, Phe, Gly, He, Leu, Met, Pro, Val, Trp and

Tyr. An average hydrophobicity is calculated for all the proteins in the data set and

plotted against protein sequence length.

For statistical comparison, randomised sequences were generated from the CATH

domain set by shuffling the order of residues in the individual sequences (see

Christiansen and Torkington (1998) pages 121-122). This shuffle was repeated 64

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Accessibility, hydrophobicity and multiplicity

times for each. A second randomised set was generated from the observed amino

acid distribution in the database as a whole and residues were randomly selected

from the domain set to create new sequences. Both sets of randomised sequences

have the same number of representatives and length distributions identical to the

CATH domain sequences.

4.2.2 Test for randomness in the distribution of hydrophobic residues

Here we use a ‘runs test’ and random walk model to examine the distribution of

hydrophobic residues along the length of protein chains. The Wald-Wolfowitz runs

test assesses if the number of runs in an ordering is random or not (Mielke and Berry,

2001). A run is defined as a sequence of identical observations that is followed and

preceded by a different observation, or no observation at all, if two groups (H or

P) are analysed. Using the runs test we calculated for each domain sequence the

probability that the ordering of hydrophobic and hydrophilic in a domain sequence

could have been caused by chance.

A random walk model is used to visualise the distribution of hydrophobic residues

along a polypeptide. For a conventional random walk, a walker moves either up, +1,

or down, —1, for each step. Here a step up corresponds to a hydrophobic residue

and a step down corresponds to a hydrophilic residue (Figure 4.4).

The random walk model is used to examine the randomness of the hydrophobic

residue positions in the CATH domains by calculating the total distance travelled by

a walk. Distance is calculated by first normalising the graph so that the start and end

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Accessibility, hydrophobicity and multiplicity

- 1 5

-20, 100Sequence position

1 5 0 200

Figure 4.4: Random walk model for cytochrome C554 (Ibvb). A random walker steps up for a hydrophobic residue and steps down for a hydrophilic residue.

points of a walk are at zero (y = 0) and secondly, by calculating the area of the graph,

that is the area encapsulated by the walk and the horizontal line a ty = 0. The largest

possible distance travelled will correspond to a sequence with one run of hydrophobic

residues followed by one run of hydrophilic residues. The smallest possible distance

would result from a sequence with alternating hydrophobic-hydrophilic residues.

The distances are normalised by dividing by the largest possible distance, i.e. if a

sequence consisted of a single run of hydrophobic residues followed by a single run

of hydrophilic residues. A measure of randomness is the logarithm, to the base 10,

of the normalised distance.

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4.2.3 Results and discussion

There is a large overlap between the distribution of average hydrophobicity against

sequence length for single and multidomain protein sets. The mean average

hydrophobicity is 0.53 (s.d. = 0.054) and 0.54 (s.d. = 0.043) for single and

multidomain proteins, respectively. As sequence length increases, the average

hydrophobic content of a single domain protein increases more so than that

of a multidomain protein. Other hydrophobicity scales were used in an at­

tempt to separate the two distributions (Levitt, 1976; Ponnuswamy et a l, 1980;

Kyte and Doolittle, 1982). All other plots were almost identical to our simple binary

scale.

Figure 4.5a is a 3D histogram of average hydrophobicity and domain length

distributions for the CATH domains. There are clear limits to the number of

hydrophobic residues present in a domain. Figure 4.5b shows how the average

hydrophobic and length distributions are very different to tha t measured for random

sequences (sequences generated by random selection of residues from the CATH

domains). Shorter domain sequences, less than 100 residues, require a smaller

proportion of hydrophobic residues than larger domains. This follows the rules

first stated by Fisher (1964), that there must be a limit to the number of non-polar

residues so that they can be completely protected from the solvent exterior by a

fixed shell of polar residues. Following this theory, we would expect an increase in

the proportion of hydrophobic residues as domain size increases, but this is not the

case. For larger domains, more than 200 residues, the proportion of hydrophobic

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Accessibility, hydrophobicity and multiplicity

(a)

50 100 150 200 250 300 350 400 450 500 550 600Length

(b)

Figure 4.5: Frequency of domains as a function of hydrophobicity and length. Hydropho­bicity values are percentages multiplied by 10 to give a three digit integer. The bar to the right of the figures is the logarithmic scale of the frequency of the distribution, a) Average CATH domain hydrophobicity, red areas represent regions in the histogram that have a high frequency of domain occurrence, b) Average CATH domain hydrophobicity - average hydrophobicity for random sequences.

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residues is static at about 55%.

If all the domains in the CATH set contain a single hydrophobic core, then

we may expect to see long stretches of hydrophobic residues in the larger domain

sequences. Previous studies have concluded that the majority of proteins have

a distribution of hydrophobic residues indistinguishable from those of random

sequences (White and Jacobs, 1990). A random distribution of binary outcomes

(H or P), known as a ‘Bernoulli distribution’, will inherently consist of clumps of

one particular outcome. If larger domains have larger clump sizes than expected

(non-random), then this could be used as a basis for the prediction of domain size.

To analyse the distribution of hydrophobic residues in the CATH domains we

applied a Wald-Wolfowitz runs test (Figure 4.6). The Wald-Wolfowitz runs test

scores high P-values for sequences with alternating hydrophobic and hydrophilic

residues (many runs) and low values for sequences with large clumps of hydrophilic

or hydrophobic residues (few runs). The runs test should ideally be used to assess

if two groups are from different distributions by testing whether the number of

observed runs is less than expected for a random distribution. If the number of

observed runs is higher than expected, then high P-values will be assigned, even

though a distribution of alternating hydrophobic-hydrophilic residues is clearly non-

random. Here, we ‘incorrectly’ use the test to establish whether the number of runs

in the CATH domains differ from those in the randomly shuffled sequences.

The shuffled sequence set has a uniform distribution of P-values (0 to 1), much

different to those of the real domain sequences. This can be directly explained by

91

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Accessibility, hydrophobicity and multiplicity

100

0.2 0.4 0.6

— all— random— alpha— beta— alpha/beta— - few SS

P-value

Figure 4.6: Measure of randomness - Wald-Wolfowitz runs test. P-value distributions for CATH domain sequences and shuffled CATH domain sequences (random), bin size equals 0.02. Sequences with large clumps of hydrophobic and hydrophilic residues will have low P-values and sequences with alternating single hydrophobic/hydrophilic residues will have high P-values. The number of sequences in the domain sets can be found in Figure 1.1.

the observation that real domain sequences contain regions that have many more

alternating patterns of single hydrophobic and hydrophilic residues, especially in the

all-/) domains (black line in Figure 4.6). The average P-value assigned to the all-a

and all-/) domain sets are 0.62 (±0.26) and 0.72 (±0.27), respectively. Overall, the

CATH domains have an average P-value of 0.64 (±0.27), compared to an average of

0.53 (±0.29) for the shuffled sequences. Real sequences avoid clumps of hydrophobic

or hydrophilic residues.

A further analysis of hydrophobic runs was performed using a random walk

model. Random walks have previously been used to identify patterns in biological

sequence data (Peng et ai, 1992; Pande et al., 1994). The random walk model is

used here to calculate the degree of randomness of the CATH domains by comparison

92

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Accessibility, hydrophobicity and multiplicity

to the shuffled versions of the domain sequences. Figure 4.7 shows the logarithm of

distance travelled by a walker for all domain sequences compared with the shuffled

sequences. Again, there is a difference between the two sequence sets as a result of

the CATH sequences having more alternate hydrophobic/hydrophilic residues.

100— d om ain seq u en c es— sh u ffled seq u en ces

40

4 •3 ■2 0Log (area / max area)

Figure 4.7: Measure of randomness II - Random walk model, comparison between CATH domain sequences and CATH shuffled domain sequences.

Figure 4.8a shows the distribution of hydrophobic run lengths. Both the sequence

sets have identical distributions, rarely having run lengths greater than 10 residues.

Runs with lengths beyond 10 residues belong to transmembrane segments. The

number of hydrophobic runs in a domain increases with domain size and has

a correlation coefficient of 0.99 and a slope of 0.25 (Figure 4.8b). The longest

observed hydrophobic stretch in a domain does not increase with domain size, with

a correlation coefficient of 0.39 and a slope of 0.01. Long continuous stretches

of hydrophobic residues are not observed in the domain sequences; lattice-based

93

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Accessibility, hydrophobicity and multiplicity

computer simulations of polypeptides with large runs of hydrophobic residues have

been found to promote protein aggregation (Istrail et ai, 1999) and are therefore

detrimental to protein folding.

50000,

40000

o '30000

£ 20000

10000

Run length

200

150

3 100

200 400D om ain length

600 800

(a) (b)

Figure 4.8: Hydrophobic run distribution, a) Hydrophobic run size distribution for CATH domain sequences (histogram) and CATH shuffled domain sequences (shown as black dots), b) The number of islands as a function of domain length (black circles) and the largest island present in a sequence as a function of sequence length (red circles).

Analysis of the distribution of polar (P) and non-polar (H) residues in protein

sequence has received much attention. Patterns of polar and non-polar residues

play a major role in protein folding and it has even been postulated that the ‘binary

pattern’ would be sufficient to specify a protein’s fold (Cordes et ai, 1996).

A study by White and Jacobs (1990) concluded that the majority of proteins

have a distribution of hydrophobic residues indistinguishable from those of random

sequences, and argued that protein sequences are essentially random. However,

there are many cases where the binary distribution is clearly non-random. Many

a-helices and /5-strands in proteins are amphipathic, with one solvent exposed

face and one solvent-protected face. Sequences that form amphipathic a-helices

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Accessibility, hydrophobicity and multiplicity

tend to have a strong periodicity in the hydrophobicity for every 3,6 residues, the

period of an a-helix. Similarly, sequences that form amphipathic ^0-strands tend to

have alternating hydrophobic/hydrophilic residues (Eisenberg, 1984). Pentapeptide

patterns compatible with a-helices (e.g. PHPPH and HPPHH) are found to be the

most common binary motif in a-helices, on the other hand, the alternating HPHPH

and PHPHP patterns appropriate for amphipathic strands, were found not to be as

favoured (West and Hecht, 1995). The latter is in contrast to the runs test used

here, which clearly points to a large proportion of alternating HP patterns in a\\-P

domains.

4.3 Conclusion

Multidomain proteins have an increasing surface area to sequence length ratio as

the number of domains increases. A protein with a large single domain will have

a higher proportion of buried residues than a multidomain protein of equal length.

It may be possible then to predict the number of domains in sequences based on

predictions of SA. This is tested in Chapter 8, where a protein folding method is

used to collapse a protein sequence into multiple hydrophobic cores.

The distribution of hydrophobic residues in proteins is essentially random,

although many non-random patterns exist. A consequence of randomness is that

hydrophobic residues will often be found in clumps along a sequence. The number

of hydrophobic runs (or clumps) will increase with larger domain size, but the length

of a run will not. Real sequences have a larger proportion of alternating patterns of

95

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Accessibility, hydrophobicity and multiplicity

hydrophobicity than random sequences and large hydrophobic clumps are avoided.

There are clear limits to both length and average hydrophobicity in a domain.

Also, small domains have a relatively small proportion of hydrophobic residues.

Domain size distribution has previously been used to predict domains in sequence

with some success (Wheelan et ai, 2000). A method that uses knowledge of

both hydrophobic content and domain length distribution may improve on previous

prediction methods.

The random walk model was used here to describe the randomness of a protein

sequence, but many further applications can be envisaged, especially in sequence

comparison methods. Figure 4.9a shows two random walks for the first and second

domain of a chymotrypsin like protein, IwykA. Both domains have a y^-barrel fold.

Although the two domains have similar 3D structure, 2.7Â (Taylor and Orengo,

1989a), there is no amino acid sequence identity between them. Nevertheless, based

on the argument that 3D structure is more conserved than amino acid sequence,

it has been suggested that this common two-domain structure has evolved from

gene duplication of an ancestral domain (McLachlan, 1979). Both domains have

a similar random walk pattern, indicating that the distribution of hydrophobic

residues is important for the ^-barrel fold. The second domain has a large stretch of

hydrophobic residues at position 40, corresponding to the fifth /5-strand in the barrel.

This stretch is not present in the first domain, which happens to be missing its fifth

strand. In Figure 4.9b, the random walk for an a /^-barre l domain clearly shows a

repeat like pattern where a hydrophobic strand is often followed by an amphipathic

96

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Accessibility, hydrophobicity and multiplicity

a-helix. The large climb in hydrophobicity at about residue 170 corresponds to a

large helical structure.

— domain 1— domain 2

+ 10

R esidue position

T 10

100R esidue position

150 200 250

(a) (b)

Figure 4.9: Further applications of the random walk model, a) Chymotrypsin like protein, IwykA. The two domains have been structurally aligned using SAP (Taylor and Orengo, 1989a), gaps in the alignment are represented as horizontal steps, b) Random walk for an a//3-barrel domain, Ipkm. Residues that are part of the eight /0-strands are coloured in red.

97

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Chapter 5

Analysis of domain linking oligopeptides

Many cellular processes involve proteins with multiple domains. The modular nature

of proteins has many advantages, providing increased stability and new cooperative

functions. Other advantages include the protection of intermediates within inter­

domain clefts that may otherwise be unstable in aqueous environments and the fixed

stoichiometric ratio of enzymatic activity necessary for a sequential set of reactions

(Ostermeier and Benkovic, 2000). It is not surprising then that recent advances

in protein engineering have come from creating multi-functional chimeric proteins

containing modules from various proteins (Nixon et a i, 1997).

Recent studies have shown tha t linkers connecting domains can play an essential

role in maintaining cooperative inter-domain interactions (Gokhale and Khosla,

2000). An example is the intramolecular interaction between the Src homology

domains (SH2 and SH3) and the catalytic domains of Src family kinases, which

results in repression of catalytic activity. Repression by the regulatory domain

is nullified upon mutation of Trp260 to Ala at the linker separating the SH2

and kinase domain, proving the linker to play a crucial role in the coupling

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Analysis o f domain linking oligopeptides

of the regulatory domains to the catalytic domain (LaFevre-Bernt et a l, 1998;

Briggs and Smithgall, 1999). Other studies have shown that the ‘assembly line’

catalysis observed in consecutive modules within the polyketide synthases is reliant

on having the appropriate linkers between the domains (Gokhale et a i, 1999).

In another example, deletion of four amino acids from the linker connecting two

sub-domains of phosphorylated-smooth muscle myosin completely abolishes its

actin translocating activity (Ikebe et ai, 1998). Not only is the composition

of this linker important, but so is its length. In general, altering the length

of linkers connecting domains has been shown to have effects on protein sta­

bility, folding rates and domain-domain orientation (van Leeuwen et a i, 1997;

Robinson and Sauer, 1998).

Some studies have previously identified particular types of linker. Q-linkers occur

at the boundaries of functionally distinct domains in a variety of bacterial regulatory

and sensory transduction proteins, including the nitrogen regulatory proteins NtrB,

NtrC, NifA and NifL (Wootton and Drummond, 1989). Q-linkers, in otherwise

homologous proteins, are not strongly conserved in sequence and are between 15

and 20 residues in length. They have a preference for Gin, Arg, Glu, Ser and Pro

residues, and adopt a coil structure. Insertion of amino acids within the Q-linker

sequence of NtrC and NifA was found to have no effect on their function. However,

when NtrC was expressed as two separate polypeptides consisting of the domains

normally joined by the Q-linker, the construct failed to function.

Many studies of linker peptides in various protein families have come to the

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Analysis o f domain linking oligopeptides

same conclusion (Packman and Perham, 1987; Radford et al., 1989; Argos, 1990;

Russell and Guest, 1991; Perham, 1991; Robinson and Sauer, 1998; Dieckmann

et al., 1999):

• linkers lack regular secondary structure,

• they have varying degrees of flexibility to match their particular biological

purpose and

• they are rich in alanine, proline and charged residues.

Argos (1990) carried out a statistical study of natural linkers with the aim to

design independent linkers for gene fusion, which would have a low likelihood of

disrupting the folding of the flanking domains. He constructed a set of 51 linkers

from visual inspection of 32 proteins. The amino acids Thr, Ser, Pro and Asp were

found to be desirable linker constituents. The author concluded that the preferred

linker amino acids are mostly hydrophilic, often polar and usually small and less

bulky. The majority, 59%, of the linker residues were in coil or bend structures with

a mean length of 6.5 residues, but an average flexibility when compared to other

protein regions. It was suggested that pentapeptides with only Gly, Ser and Thr

would make the best linkers for gene fusion; these residues are strongly preferred

by natural linkers. Differing structures pointed to the importance of the amino

acid order to achieve an extended and conformationally stable oligopeptide (Argos,

1990).

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Analysis o f domain linking oligopeptides

5.1 Linkers revisited

The analysis by Argos is now slightly outdated since the protein data set used

was small. Here an automated method has been developed to extract inter­

domain linkers from a data set of proteins of known 3D structure. We used the

non-redundant protein set available from the National Center for Biotechnology

Information (NCBI) (http://www.ncbi.nlm.nih.gov/Structure/VAST). This set is

derived from an all-against-all BLAST comparison of all proteins of known structure.

The proteins in this set have been grouped into similar sequences using single linkage

clustering based on BLAST P-values less than 10~^. Chains within a group are

ranked according to completeness and resolution of their structures, leading to 2101

representatives (Matsuo and Bryant, 1999).

First, proteins containing membrane spanning regions were manually removed

from the set. Then, domain assignment in the final protein set was achieved using

the automatic method of Taylor (1999) as described in Chapter 4. Finally, the linker

regions were delineated using the positions of the structural domain boundaries, as

discussed in the next section.

5.1.1 Determining the linker region

For each protein, linker regions were determined by branching out from the domain

boundaries assigned by the Taylor algorithm (Section 4.1.1). Linker assignment

ended when the branches became buried within the core of a domain or when a

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Analysis o f domain linking oligopeptides

branch accumulated a length of 40 residues. Therefore, a maximum of 80 residues

was allowed for any one linker, but none of the linkers in our set reached this limit.

The structural environments, core or exposed, for the amino acids in each of the

isolated domains were determined by calculating residue SAs using DSSP (Kabsch

and Sander, 1983b). All SAs were normalised using the estimated maximum values

derived by Chothia (Chothia, 1976). Residues were classified as being within the

core of a domain if they had a normalised SA below 20%, otherwise they were

‘exposed’ and classed as surface residues. Any residues that were missing from

the PDB structure are added to the DSSP file and assigned a SA value equal to

its N-terminal neighbouring residue. Any linkers that ended within 15 residues of

another linker or 15 residues from the N- or C-termini of its respective protein were

discarded. Also, any linkers that had the majority of its residues missing from the

PDB structure were also discarded.

5.1.2 Calculating amino acid propensity

Linker propensities of individual residues and residue pairs were calculated for the

extracted linkers. The single amino acid propensities were determined from the ratio

of their occurrence in the linker set compared to its occurrence in the full protein

set using the method described in Chapter 4.

(S.i)

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Analysis o f domain linking oligopeptides

where Pa is the propensity for amino acid i, Nri^i and Nri^t are the number

of amino acid i in the linker set (/) and in the full protein set (t), respectively.

Nri^i and Nri^t are the total number of amino acids in the linker set and

in the full protein set, respectively. Amino acid pair propensities were calculated

using a version of the weighted method described by Crasto and Feng (2001) in their

analysis of loops connecting secondary structure.

_ (-Pa + Pb) ([iVPal,,l]/[Ei + E i2 {[Npa,,]/[EiNp.i,t + EiNpi,.t]) ̂ ’

where Pah is the residue pair propensity to be found for a given dipeptide ab.

Pa and Pb are the individual propensities as calculated in Equation 5.1 for residues

a and 6, respectively. Npat,i and Npab,t are the number of occurrences of the residue

pair (ab) in linkers (/) and in the full protein set (t), respectively. Residue i represents

any one of the 20 amino acids. Npai,i and Npn,,i represent the occurrence of

residue pairs ai and ib in the linkers, respectively. Npai,t and Y i ^Pib,t represent

the total occurrence of residue pairs ai and ib in the full protein set, respectively.

All residue pairs, 20 x 20, were analysed for their preference for linkers.

5.2 Results and discussion

From a data set of 638 multidomain protein chains, 1,280 linkers were extracted,

totalling 12,691 residues. Linkers are found to have an average length of 10.0 ±

5.8 residues (Figure 5.1). Linker residues are shown to be partially buried with

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Analysis of domain linking oligopeptides

an average normalised SA of 26.7% compared to 45.6% when the flanking domains

are separated. Therefore, the percentage change of linker exposure after domain

delineation is 39.7%.

0 4 8 12 16 20 24 28 32 36 40

Linker lengthFigure 5.1: Linker length distribution

Overall, the largest proportion of linker residues (39.1%) adopt the a-helical

secondary structure, 13.9% are in /5-stands, 8.6% are in turns and the rest, 38.4%,

are in coil or bend secondary structures. This is different to the observations made

by Argos, where only 13% of linker residues adopted a helical conformation (Argos,

1990).

The linkers can be divided into several sets based on their length or number

involved in connecting two domains. The residues in small linkers, less than six

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Anaiysis o f domain linking oligopeptides

residues long, mainly comprise /5-strand and coil secondary structures, 34.8% and

38.2%, respectively. Medium sized linkers, between 6 and 14 residues, have more

residues in helical and coil secondary structures, 43.7% and 34.7%, respectively.

Large linkers, greater than 14 residues, are mainly in helical and coil secondary

structures, 32.4% and 46.9%, respectively. Secondary structure type is not seen to

deviate between the sets with varying number of linkers between two domains.

We analysed the average residue hydrophobicity for the linkers using Eisen-

berg’s normalised consensus residue hydrophobicity scale, which ranges from 0

(hydrophilic) to 1 (hydrophobic) (Eisenberg, 1984). Overall, average hydrophobicity

for linkers is 0.65 ± 0.09. Small linkers show an average hydrophobicity of 0.69 it

0.11, while large linkers are more hydrophilic with 0.62 ± 0.08. Hydrophobicity does

not deviate much from the mean when considering the number of linkers connecting

domains. The lengths for the 1-linker, 2-linker, 3-linker and greater than 3-linker

sets (based on the number of linkers involved in connecting two domains) slightly

decrease in their average number of residues as the number of connections increases,

11.4 it 7.0, 9.5 ± 4.5, 8.7 it 4.1 and 8.2 it 3.9, respectively. Also, the average

distance measured in angstroms (Â) between linker Ca termini decreases, 17.6

± 10.3, 15.6 i t 6.0, 14.3 ± 5.5 and 13.8 ± 4.9, respectively. More connections

between two domains means less distance between domains and a higher preference

for hydrophobic residues.

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Analysis o f domain linking oligopeptides

5.2.1 Amino acid composition of linkers

The preferred linker amino acids observed in the majority of the linker sets are Pro,

Arg, Phe, Thr, Glu and Gin, in order of decreasing preference. Surprisingly, Ala is

shown to be undesirable in linkers. Although Ala does have a high occurrence in

our set of linkers, it also has the highest overall frequency of occurrence in proteins

and shows no linker preference. Argos (1990) found Thr, Ser, Pro, Asp, Gly, Lys,

Gin, Asn and Ala (in order of decreasing preference) to be the preferred residues

in linkers, but it should be noted that Ala is only slightly preferred in the Argos

study. Pro is the most preferred of the linker residues in our dataset. It is likely to

be favoured because it has no amide hydrogen to donate in hydrogen bonding and

therefore, structurally isolates the linker from the domains, but Pro residues will

introduce a kink in the polypeptide and has a hydrophobic side chain.

Medium sized linkers show amino acid preference similar to that of the entire set

(Figure 5.2). The long linkers have an increased propensity for Cys, Asn and Gin,

and a decreased preference for the hydrophobic amino acid Met. The short linkers

show increased propensities for hydrophobic residues and decreased propensities for

polar and acidic residues. The linkers grouped by the number of linkers connecting

two domains generally have amino acid propensities similar to that of the whole set

(Figure 5.3). But the set with more than three linkers connecting domains shows

an increased preference for Phe, His and Met. Linkers that prefer close packing of

domains are more generally hydrophobic than linkers that allow more space, and

probably a higher degree of motion, between domains.

106

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Analysis of domain linking oligopeptides

1.8 long— medium ■ — short1.6

1 .4

1.2

D,1

0.8

0.6

0 .4

0.2

Amino acid

Figure 5.2: Amino acid propensities of the linkers; grouped by size

1.8- 1 link- 2 links ■ 3 links• >3 links

1.6

1 .4

c 1.2 /\.O h

1\y

0.8

0.6

0 .4

0.2

Amino acid

Figure 5.3: Amino acid propensities of the linkers; grouped by number of linkers between domains

107

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Analysis o f domain linking oligopeptides

A database of loops connecting secondary structures, as assigned using DSSP

(Kabsch and Sander, 1983b), was generated from the NCBI protein set to compare

the amino acid propensities to those in the linkers. Inter-domain linkers are distinct

from loops connecting secondary structure with a correlation coefficient of 0.07. A

recent study of loops showed residues Pro, Gly, Asp, Asn, His, Ser and Thr (in order

of preference) to be preferred in loop regions (Crasto and Feng, 2001). Here we find

Gly, Asp, Asn and Ser to be the least preferred within linkers, whereas His and Thr

have no preference. Proline shows the highest preference in both linker and loops,

but will play a different role in each. A proline residue within a loop is likely to be

involved in a tight proline turn, whereas only a few proline turns were observed in

our linker set.

Dipeptide propensities for all linkers, medium and large sized linkers are shown in

Table 5.1 to Table 5.3. The small linker set does not have enough representatives to

permit reliable propensities. In the sets provided, residue pairs are well represented,

with a mean number of 28.5 (±18.4) for each possible pairing. However, Met-Cys

pairings are not observed in the linkers, but Cys-Met shows the second highest

preference in the medium linker set, although there are only four occurrences. Both

Cys and Met amino acids are rare, their presence in linkers might suggest that they

are involved in metal ion binding. Pro-Pro pairs are the most common in the full

and medium linker sets. Again, this suggests linkers prefer to be isolated from the

rest of the protein.

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Analysis of domain linking oligopeptides

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109

Page 111: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Table 5.2: Amino acid pair propensities for medium sized linkers

A C D E F G H I K L M N P Q R S T V W Y A 0.71 0.60 0.88 1.09 1.00 0.84 1.33 0.80 1.07 0.88 1.17 0.80 1.43 1.07 1.25 0.75 0.91 1.03 1.12 1.33C 0.34 0.35 0.44 0.51 0.23 0.50 0.72 0.32 0.38 0.31 2.04 0.72 0.49 0.34 0.73 0.34 0.67 0.56 0.83 0.53D 0.76 0.80 0.58 1.05 1.25 0.49 0.99 0.90 1.10 1.07 0.82 1.02 1.02 1.07 1.76 1.04 0.83 0.71 1.13 1.16E 1.28 0.92 0.94 1.16 0.95 0.79 1.12 1.01 1.13 1.19 1.19 0.79 1.25 1.08 1.61 0.90 1.15 1.30 0.49 0.72F 0.98 0.24 1.13 1.23 1.54 0.89 0.92 1.21 1.11 0.72 0.54 1.60 1.19 1.56 0.94 1.14 0.88 0.85 1.72 1.42G 1.09 0.63 0.65 0.66 1.07 0.55 0.76 0.71 0.59 0.96 1.30 0.65 1.01 0.87 0.79 0.66 0.93 0.60 0.86 1.07H 0.82 0.58 0.80 0.85 1.38 0.86 1.45 0.84 1.55 1.22 1.29 1.22 1.04 1.32 1.13 0.95 1.43 0.68 0.74 1.72I 0.79 1.05 1.09 1.20 0.84 0.65 0.81 1.10 0.65 0.77 1.32 1.07 1.11 1.12 0.99 0.83 0.81 0.98 0.46 0.65K 0.85 0.45 0.97 1.16 0.75 0.97 1.29 0.89 0.76 1.36 1.49 0.77 1.47 1.36 1.43 0.97 0.98 0.97 0.65 1.33L 1.22 0.80 1.26 1.22 1.70 0.79 1.06 0.92 1.09 0.95 0.92 1.26 1.73 0.82 1.07 0.91 0.66 0.83 1.43 1.13M 1.22 0.00 0.85 0.82 1.21 0.59 1.23 0.69 1.37 1.22 0.54 0.70 1.90 0.68 1.40 0.84 1.52 0.93 1.30 1.18N 0.95 0.36 1.04 0.83 1.09 0.49 1.01 0.86 1.00 1.13 0.48 0.49 1.20 0.96 0.88 0.74 0.88 1.04 1.10 0.95 ^P 1.41 0.53 1.16 1.21 1.21 1.15 1.55 1.28 1.08 1.45 1.21 1.31 2.08 1.09 1.71 1.35 1.33 1.42 0.95 1.36 2LQ 0.81 0.00 1.16 1.19 1.32 0.88 1.33 0.68 1.21 0.95 0.88 0.92 1.61 0.98 0.80 1.44 0.88 1.44 0.83 0.96 ^R 0.93 0.73 1.18 1.47 0.78 0.92 1.06 1.39 1.53 1.18 1.84 0.97 1.33 1.45 1.01 1.00 1.26 1.16 0.83 1.28S 0.76 0.67 0.67 1.13 0.91 0.76 0.68 1.09 1.08 1.10 0.71 0.65 1.19 0.84 1.00 1.05 1.02 0.86 1.03 0.82 ^T 1.47 0.00 1.06 1.32 0.93 0.91 1.34 0.72 0.74 0.99 1.67 0.78 1.35 0.67 1.34 0.83 1.20 0.55 0.72 1.14 g-V 0.75 0.23 0.90 0.78 1.02 0.83 1.20 0.96 1.30 1.24 1.00 0.74 1.67 0.73 1.21 0.68 0.96 0.64 0.68 0.99 5W 0.43 0.69 0.63 1.00 0.53 1.36 0.72 0.43 1.34 0.46 0.99 0.79 0.48 0.73 1.06 1.19 0.67 1.34 1.48 0.63 | -Y 1.07 0.21 1.05 1.32 1.18 1.14 1.09 1.03 1.41 1.05 1.04 0.54 1.17 1.94 1.07 1.16 1.35 0.92 1.24 0.61

■ ti' Ü-oq

18.4 ±12.4 per residue pair. 3̂ -

I

Amino acids in the rows precede amino acids in the columns. Propensities above 1.30 are highlighted in bold. Sample size is

Page 112: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Table 5.3: Amino acid pair propensities for large sized linkers

A C D E F G H I K L M N P Q R S T V W Y A 1.00 0.76 0.77 1.43 0.80 0.79 0.88 0.55 0.49 0.69 0.76 1.52 1.06 1.57 1.12 0.87 0.99 0.63 0.79 0.34C 1.69 0.00 0.77 1.31 2.13 0.71 3.20 0.84 1.30 0.76 0.00 0.82 0.59 1.20 1.50 0.27 0.96 0.00 0.00 0.65D 0.62 0.69 0.86 0.67 0.68 0.70 2.19 0.90 1.00 0.56 0.97 1.56 1.43 1.16 1.29 0.71 0.99 1.28 1.26 0.76E 0.92 0.66 0.55 1.25 1.69 1.13 0.80 1.15 0.79 1.20 0.85 0.95 1.88 1.69 1.36 1.43 1.11 1.09 1.31 1.01F 0.54 2.27 0.95 1.18 0.92 1.38 0.00 1.65 0.51 1.39 0.73 1.29 1.12 1.18 0.73 1.24 0.87 0.72 0.61 1.29G 0.65 1.24 0.82 0.81 0.89 0.69 0.51 0.48 1.16 0.75 1.28 1.62 1.01 1.33 1.23 1.08 1.13 0.93 0.85 0.64H 0.98 0.00 0.77 1.19 0.58 0.70 0.39 0.71 1.33 0.94 0.55 0.95 1.65 0.31 2.70 1.10 0.93 1.24 0.00 0.76I 0.45 0.89 0.65 0.81 0.72 0.75 1.00 0.63 1.00 0.82 0.60 1.07 1.54 0.59 0.79 0.67 0.96 0.69 0.51 0.69K 0.75 1.78 0.95 1.25 1.10 0.78 1.11 0.42 0.96 0.77 0.66 1.35 1.48 1.18 0.98 0.89 1.24 0.69 0.73 1.18L 0.84 0.26 1.16 1.37 0.73 0.96 1.38 0.72 1.30 1.05 0.62 0.94 1.03 1.06 0.87 1.19 1.18 0.55 0.00 0.54M 1.59 0.00 1.10 0.19 0.81 1.09 1.28 0.58 0.57 0.31 0.56 0.27 1.29 1.02 0.47 0.92 0.00 0.61 0.00 1.00N 1.25 1.24 0.93 1.25 1.32 0.74 1.20 1.51 0.84 1.24 0.31 1.34 1.32 2.30 1.54 0.82 0.97 1.10 0.74 1.28P 1.50 1.23 1.32 1.49 1.42 1.43 1.62 0.29 0.75 1.83 1.49 0.93 1.63 1.57 0.71 1.37 1.58 1.23 1.98 1.42 £Q 0.70 1.68 0.90 1.16 1.14 1.71 0.63 0.57 1.79 1.29 0.71 1.37 1.71 0.88 1.94 1.59 1.36 1.26 0.88 1.05 ^R 1.06 0.74 1.07 1.12 1.83 1.39 0.46 1.47 1.68 1.14 1.01 1.24 1.22 1.10 1.14 0.94 1.17 1.27 0.73 0.56S 0.99 0.54 1.25 1.24 1.32 0.70 1.02 0.74 0.98 1.14 1.16 0.61 1.30 0.88 1.11 1.00 1.51 0.93 0.31 0.28 ^T 1.08 1.67 1.46 0.90 0.61 0.88 1.06 0.92 0.92 0.82 0.53 1.71 1.78 1.61 1.75 0.97 1.16 1.04 0.88 1.31V 0.89 0.56 0.83 1.05 1.07 0.78 1.56 0.31 0.67 0.74 0.59 1.06 1.06 1.75 0.87 1.23 1.14 0.70 0.36 0.96 |W 0.31 0.00 0.00 0.94 0.55 0.88 0.00 0.00 0.33 1.17 0.00 1.17 0.51 0.38 1.51 0.69 1.72 0.70 1.69 0.71 g-Y 0.70 2.06 0.67 1.09 0.42 0.87 0.00 1.12 0.73 1.44 0.44 0.82 1.50 0.76 1.57 0.26 0.60 0.51 0.56 0.66

■ ü'

(RoAmino acids in the rows precede amino acids in the columns. Propensities above 1.30 are highlighted in bold. Sample size is

8.5 ±5.9 per residue pair.

I

Page 113: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Analysis o f domain linking oligopeptides

5.2.2 C onform ational properties

The Ca extent (or residual translation) of a linker is calculated by dividing the

distance between two terminal Ca atoms with the number of residues minus one

(Figure 5.4). The average Ca distance is 2.04Â ± 0.76Â per residue. The

distribution can be split into two, based on peaks at 1.5Â and another at 3Â,

corresponding to helical and fully extended, /?-strand structures, respectively.

150

1.0 1.5 2.0 2.5 3.0

C-alpha extentFigure 5.4: Residue Ca-extent

The extended conformation will have no main-chain hydrogen bonds at the

domain boundary. Dihedral angles, w, in an extended conformation will have more

conformational freedom that would lead to a greater flexibility and the ability to

act as a hinge. For an a-helix, hydrogen bonds make this a more rigid structure.

112

Page 114: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Analysis o f domain linking oligopeptides

Residues in helices are subject to steric constraints, their torsion angles are restricted

to a smaller region of the Ramachandran plot. Linkers that are fully helical are

likely to act as rigid spaces between domains. A disruption in the normal pattern

of hydrogen bonding, and conformational constraints on the helix, will allow larger

torsion angle changes. Such disruptions can be caused by proline residues. Out of

the linkers that are fully helical, 8.2% (15/184) contain a central proline.

A helical linker might well be important in correct domain folding, acting as a

rigid spacer to separate two domains. Some helical conformations may rapidly form

during folding (Aurora et a i, 1997), allowing the domains to fold independently

without forming non-native interactions.

The linker set can be split into two types: helical and non-helical, the helical

type having over 33% of their residues in helical structures as annotated by DSSP

(Kabsch and Sander, 1983b), otherwise the linkers are classed as non-helical. The

amino acid propensities for these two sets are shown in Figure 5.5. The non-helical

set consists of 51% of all linkers and shows the highest preference for Pro residues,

1.81. High preferences are also shown for Thr, Phe, His and Arg. Having many Pro

residues will cause a high degree of stiffness in the linker and, like the helical linkers,

could be a requirement for the correct folding of two domains.

The helical set shows a preference for Leu, Arg, Asp, Met and Gin. The

propensity for Pro is only 0.80 in the helical set. These values generally correspond

to the a-helical propensities described by Chou and Fasman (Chou and Fasman,

1974), although Arg, Cln and Pro show an increased propensity in the linkers and

113

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Analysis o f domain linking oligopeptides

2

1.8

1.6

1.4

1.2

CL1

0.8

alpha helical— beta strand helical linkers non-helical linkers

0.6

0 .4

0.2

Amino acid

Figure 5.5: Amino acid propensities of the linkers; grouped by structure I. a-helical and /3-strand propensities are those described by Chou and Fasman (1974).

Ala, Glu, Met and Val show a decrease in propensity. As expected, the propensities

for the non-helical linkers are very different to those described for /3-sheets (Chou

and Fasman, 1974), the largest deviations belonging to Pro, Val, He, Glu and Trp

(Glu and Pro having an increased propensity in linkers).

All residues that adopt an a-helical, /5-strand or otherwise a coil structure, as

assigned by DSSP (Kabsch and Sander, 1983b), were extracted from the NCBI

protein set and used to compare the composition of the two linker sets (Figure 5.6).

The helical linkers have an amino acid composition similar to the helices taken from

the protein set, with a correlation coefficient of 0.85. The non-helical linkers have a

composition much like coil structures, with a correlation coefficient of 0.54.

114

Page 116: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Analysis of domain linking oligopeptides

P ~ c O (D O

œ

cc

O

o_

Z .-go

o_ | .E

E ^ <

X

CDLL

LU

Q

Ü

<

ocvi

If) od

A ijs u a d o jd

Figure 5.6: Amino acid propensities of the linkers; grouped by structure II. a-helical, /3-strand and Coil propensities are those derived from the NCBI protein set.

115

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Analysis o f domain linking oligopeptides

Dipeptide propensities for helical and non-helical linkers

The most favourable pairs in non-helical linkers are Pro-Pro, Trp-Trp, Met-His,

Gln-Pro and Pro-Leu (Table 5.4). Those favoured helical sets are Cys-Met, Arg-

Met, Arg-Lys, Gin-Arg and His-Arg (Table 5.5). The non-helical preferred pairs,

with preferences greater than 1.3, are of average hydrophobicity, 63% (Eisenberg

scale). The least preferred pairs in this set, with propensities less than 0.7, are often

hydrophobic, 71%. The helical set prefers amino acids that are more hydrophilic,

59%, and disfavours hydrophobic residues, 69%. Prolines are observed in the helical

set when paired with His or Met, but only when His precedes Pro.

Asp-Pro has a small preference to be in both the helical and non-helical linker set.

Conversely, Glu-Pro has a low preference in the helical linkers, but a high preference

in the extended linker conformation. Both Asp and Glu have acidic side chains and

are often seen to be inter-changeable through protein evolution. Both show different

propensities to be in strand or helical conformations (Chou and Fasman, 1974). The

same deviation has been observed before (MacArthur and Thornton, 1991).

In Crasto and Feng’s analysis of loops (Crasto and Feng, 2001) they identified

residue pairs (a-b) that are highly favourable for loop conformation, whereas their

reversed complement (b-a) have little or no preference. Using their method of

selection, we have identified asymmetric dyads having a high propensity for linkers

(Table 5.6). Residues His and Trp are involved in a large number of dyads.

Interestingly, His-Pro, Lys-His, Lys-Tyr and Phe-Ser pairs in the helical set have

their reverse complement in the non-helical set, proving that the order of the amino

116

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Table 5.4: Amino acid propensities for non-helical linkers

A C D E F G H I K L M N P Q R S T V W Y ~K 0?75 ÔJ5 ÔI76 Ô93 LÏ4 Ô9Ï Ë2Ï Ô54 Ô58 0 ^ ÔJ8 Ô79 2 7 TÏ3 Ô87 Ô73 LÏ4 ÔT8 Ô33 ÔŸTC 0.51 0.46 0.85 0.78 0.64 0.66 1.29 0.46 0.74 0.33 0.00 0.75 0.96 0.73 1.58 0.62 0.89 0.39 1.13 1.15D 0.75 0.59 0.55 0.72 1.45 0.81 1.60 0.96 0.97 0.73 1.03 1.20 1.25 0.57 1.49 0.94 0.92 0.89 0.37 1.14E 0.67 1.38 1.00 0.84 1.06 0.97 0.50 1.16 0.80 0.79 0.65 0.72 2.23 0.78 1.16 1.06 0.70 1.37 0.66 0.47F 0.62 1.34 1.41 1.24 1.58 1.47 0.60 0.99 1.01 0.80 0.23 1.58 1.51 1.32 1.06 0.97 1.25 0.59 1.49 1.06G 1.02 0.97 0.75 0.82 1.32 0.81 0.81 0.78 0.82 0.81 1.46 1.21 1.37 1.01 1.12 1.02 1.29 0.90 1.17 0.90H 0.86 0.00 0.74 0.58 1.58 1.22 0.69 1.09 2.04 1.24 0.97 1.54 1.15 1.32 1.46 1.05 0.94 0.74 0.96 1.12I 0.79 1.22 0.94 0.67 0.54 0.85 0.89 1.12 0.79 0.57 1.61 1.00 1.96 0.68 0.81 0.91 0.87 1.16 0.59 0.82K 0.83 1.16 0.85 0.85 0.83 1.10 1.05 0.44 0.86 0.87 1.06 0.77 1.89 1.03 1.06 0.88 1.32 0.81 0.21 1.09L 0.53 0.15 1.17 0.93 0.99 0.90 0.87 1.01 1.04 0.68 1.08 0.96 1.74 0.57 0.65 1.00 0.95 0.61 0.58 0.88M 1.13 0.00 0.91 0.46 1.00 0.76 2.70 0.68 1.02 0.32 0.68 0.51 1.91 0.42 0.43 0.99 0.81 0.87 0.00 0.61N 0.90 0.74 0.68 0.52 1.22 0.61 0.92 1.00 0.62 1.30 0.19 0.71 1.81 1.55 1.31 0.96 1.26 0.88 0.70 1.00 ^P 2.32 1.13 1.49 1.56 1.54 1.67 2.22 1.59 1.30 2.35 1.42 1.69 3.48 2.05 2.07 1.58 1.92 1.99 1.81 1.49Q 0.56 0.99 0.84 0.85 0.80 1.08 1.15 0.40 1.37 0.93 0.43 1.19 2.63 0.76 0.24 1.58 1.02 1.52 0.54 1.12 gR 0.85 1.06 0.72 1.20 0.87 1.00 0.84 1.54 0.78 0.96 0.77 1.19 1.83 1.03 0.83 1.29 1.62 1.22 0.88 0.75S 0.80 0.61 0.82 1.05 1.38 0.95 1.09 1.13 1.03 0.99 0.97 0.70 1.81 0.86 1.23 1.05 1.40 0.88 0.54 0.68 ^T 1.21 0.95 1.39 1.23 1.04 1.08 1.53 1.05 0.85 0.77 1.14 1.44 2.09 1.27 1.72 1.01 1.59 0.84 0.87 1.33 oV 0.58 0.47 0.93 0.87 1.23 1.12 1.52 0.78 0.87 0.87 0.60 0.67 2.20 1.14 1.21 0.87 1.44 0.79 0.63 0.91 5W 0.57 0.00 0.59 0.95 0.33 1.35 0.00 0.54 0.77 0.31 0.63 0.72 0.83 0.92 0.68 1.02 0.78 1.24 2.96 0.41 £•Y 0.73 0.87 1.02 1.48 0.63 0.83 0.47 0.44 1.46 0.82 0.26 0.49 1.74 1.13 1.10 1.04 1.31 0.77 0.98 0.53 ■ ü

üAmino acids in the rows precede amino acids in the columns. Propensities above 1.30 are highlighted in bold. Sample size is 14.2 ±9 .6 ^per residue pair.

Cl

Page 119: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Table 5.5; Amino acid pair propensities for helical linkers

00

A C D E F G H I K L M N P Q R S T V W Y A Ô87 Ô63 Ô83 0 8 OÔ ÔJ8 TÜ3 ÔL98 ËÏ6 T îï O o 1.12 0.59 1.48 1.49 0.99 0.70 1.05 1.56 1.39C 0.98 0.00 0.19 0.80 0.89 0.41 1.53 0.42 0.65 0.51 2.61 0.69 0.00 0.64 0.31 0.00 0.73 0.36 0.00 0.34D 0.69 0.86 0.81 1.04 0.80 0.30 1.12 0.84 1.14 1.15 0.62 1.17 1.11 1.49 1.60 0.98 0.85 0.83 1.83 0.90E 1.63 0.33 0.76 1.38 1.32 0.83 1.49 1.08 1.21 1.52 1.52 0.96 0.62 1.71 1.75 1.04 1.51 0.99 0.92 1.05F 0.96 0.31 0.69 1.28 1.68 0.68 0.58 1.55 0.82 0.98 1.17 1.45 0.98 1.62 0.77 1.31 0.53 1.15 1.45 1.66G 0.88 0.56 0.61 0.55 0.88 0.42 0.66 0.59 0.62 0.90 1.23 0.74 0.65 1.21 0.84 0.65 0.64 0.60 0.39 0.90H 0.91 0.74 0.74 1.33 0.53 0.46 1.40 0.41 0.76 1.16 1.02 0.78 1.45 0.55 1.85 0.82 1.63 1.24 0.95 1.54I 0.73 0.92 0.91 1.36 0.98 0.57 0.75 0.87 0.79 1.12 0.59 1.08 0.58 1.21 1.17 0.72 0.74 0.58 0.61 0.63K 0.89 0.73 0.95 1.38 0.81 0.59 1.40 1.02 0.75 1.37 1.28 1.00 0.94 1.42 1.59 0.94 0.77 0.89 1.06 1.40L 1.64 1.00 1.24 1.64 1.75 0.86 1.47 0.84 1.20 1.26 0.88 1.26 1.22 1.23 1.44 1.03 0.73 1.08 1.42 0.96M 1.66 0.00 1.26 0.81 1.30 0.95 0.39 1.10 1.20 1.50 0.70 0.54 1.64 1.08 1.79 0.63 1.12 1.08 1.62 1.52N 1.16 0.68 1.28 1.32 0.99 0.45 1.09 1.11 1.22 1.06 0.62 0.78 0.64 1.13 0.81 0.62 0.43 1.22 1.39 0.99 ^P 0.65 0.25 0.86 0.95 0.90 0.72 0.72 0.43 0.56 0.93 1.31 0.72 0.36 0.38 0.83 1.16 0.81 0.82 0.83 1.13Q 0.90 0.22 1.37 1.49 1.58 1.19 0.94 0.97 1.38 1.21 1.36 0.90 0.61 1.02 2.08 1.29 1.00 1.14 1.05 0.86 %R 1.02 0.55 1.71 1.40 1.30 1.16 1.06 1.29 2.22 1.49 2.37 0.94 0.61 1.64 1.25 0.80 0.96 1.12 1.05 1.38 ^S 0.86 0.88 0.98 1.32 0.81 0.64 0.62 0.76 0.93 1.28 0.63 0.64 0.75 0.81 0.89 0.94 0.90 0.88 0.97 0.70T 1.42 0.16 0.90 1.07 0.68 0.64 0.81 0.49 0.65 1.05 1.32 0.72 0.82 0.61 1.10 0.79 0.85 0.61 0.77 1.01 oV 1.08 0.29 0.85 0.97 0.80 0.64 1.07 0.73 1.19 1.37 1.20 0.96 0.80 0.82 0.99 0.87 0.56 0.57 0.44 1.19 |W 0.37 0.88 0.42 0.91 0.69 1.47 0.95 0.29 1.17 0.99 1.29 1.27 0.36 0.23 1.58 1.12 1.18 0.88 0.00 0.82 £•Y 1.14 0.54 0.88 0.96 1.26 1.23 1.40 1.56 0.86 1.53 1.37 0.70 0.83 1.81 1.36 0.75 0.94 0.87 0.96 0.65 ür

Amino acids in the rows precede amino acids in the columns. Propensities above 1.30 are highlighted in bold. Sample size is 14.3 ^±10.9 per residue pair.

« cr.CL

Page 120: Predicting Structural Domains in ProteinsAbstract Domains are the structural and functional units of proteins. Nature often brings several domains together to form multidomain-multifunctional

Analysis o f domain linking oligopeptides

Table 5.6: Dyad sequence codes for linkers. Amino acid pairs are in order of propensity difference between the pair and their reverse complement, starting with the largest propensity.

All linkers Helical linkers Non-helical linkersCys-Met Cys-Met Met-HisCys-His Asp-Trp Phe-TrpPhe-Trp Ala-Trp Pro-HisPro-Trp Trp-Gly Tyr-GluHis-Arg Tyr-Gln His-LysAsp-His Tyr-Ile Pro-TrpGln-Ser His-Thr His-PheTrp-Gly Cys-His Ile-MetAla-Gin Phe-Trp Asp-HisMet-His Leu-Phe Val-HisGly-Met His-Pro Asp-ArgLys-Pro Thr-Ala Arg-IleLeu-Phe Glu-Met Gln-SerTyr-Gln Lys-His Phe-CysArg-Met Met-Leu Gly-MetArg-Ile Ala-Gln His-ArgPhe-Tyr Tyr-Leu His-AsnPhe-Asn Phe-Ile Glu-CysThr-Ala Lys-Tyr Val-ThrHis-Tyr Trp-Arg Thr-HisGln-Val Leu-Ala Cys-Arg

Phe-Ser Phe-GlnAla-Arg Glu-ValPhe-Asn Lys-ThrGlu-Thr Thr-AspLeu-Trp Ser-PheAsn-Glu Ser-ThrLeu-His Gln-Val

Tyr-LysAsn-GlnGln-Lys

The amino acids in the columns have a linker propensity greater than 1.3, whereas the linker propensity of their respective reverse pair is less than 1.2 and the difference between the two propensities is greater than 0.3. (These values were used by Crasto and Feng (2001)).

119

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Analysis o f domain linking oligopeptides

acids is very important in determining the overall structure of the oligopeptide.

5.2.3 comparison of linker sets

A chi-squared (% )̂ test was used to analyse the significance of trends of the

amino acid linker composition between the various linker sets (Table 5.7). The

sets representing linkers by the number required to connect two domains have

no significant compositional differences tested at the 0.1% significance level and

therefore, suggest that there are no amino acid requirements tha t define the number

of linkers connecting two domains. As the number of linkers connecting domains

increases, the composition becomes more like that found in the non-redundant

protein set. This is likely to be a consequence of poor domain annotation.

The composition of small linkers are not significantly different to that in the

non-redundant NCBI protein set at the 0.1% significance level. Long linkers are

neither similar to small or medium linkers and both small and medium linkers have

a similar composition. Helical and non-helical linkers are very different from each

other and consequently from the linkers as a whole. Although the composition of

helical linkers was found to correlate with helices derived from the protein set, the

test shows a significant difference between them. These observations suggest that

a successful method to predict linkers in sequence must be based on linker type.

At the very least, predictions must be made separately for helical and non-helical

groups. Also, it is likely that small linkers would be very difficult to identify given

their overall similarity to residues in the non-redundant protein set.

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Table 5.7: tests between linker setsSet 1 Set 2

all NCBI proteins 136.0small NCBI proteins 41.4t

medium NCBI proteins 122.8long NCBI proteins 58.0

helical NCBI proteins 182.4non-helical NCBI proteins 251.0

1-linkers NCBI proteins 81.82-linkers NCBI proteins 42.3+3-linkers NCBI proteins 37.3+

> 3-linkers NCBI proteins 28.7+small all 37.1+

medium all 8.5+large all 27.3+

helical all 94.1non-helical all 84.6

n-linkers all 10.9 (±2.1)+hehcal a-helical set 274.4

non-helical yS-strand set 393.1helical coil set 1003.9

non-helical coil set 1752.1small medium 39.6+large medium 46.4large small 50.2

helical non-helical 265.5n-linkers n-linkers 16.7 (±2.5)+

Null hypothesis: Two compared sets have similar amino acid composition. 1 identifies a pair of sets that are not significantly different, measured at the 0.1% significance level, n-linkers are sets representing ‘n’-number of linkers connecting two domains.

5.2.4 Clustering of linker families

The linkers were clustered in 20 dimensional space based on their amino acid

composition using city block distance calculations (Equation 5.3).

20

4 x y — ̂] \ ^ i ~ Vil (5.3)

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Analysis o f domain linking oligopeptides

where the city block distance (dxy) denotes the distance between linker x and y.

Xi and yi is the fraction of amino acid type i in linkers x and y respectively.

No apparent linker families are observed using this method of clustering (Fig­

ure 5.7a). Figure 5.7b shows clustering in 3D space, that is, the amino acids are

split into three groups.

• Hydrophobic: Ala, Val, Phe, Pro, Met, lie. Leu and Gly.

• Charged: Asp, Glu, Lys and Arg.

• Polar: Ser, Thr, Tyr, His, Cys, Asn, Gin and Trp.

This time we can identify four groups of linkers (Figure 5.7b). The top two

groups in the figure have mainly charged amino acids and generally belong to the

helical class. The third group contains hydrophobic linkers and the final group has

polar linkers, both having a higher proportion of coil structure compared to the other

groups. A principle component analysis was used in a further attem pt to identify

linker types. The Eigen values derived from the 20 x 20 matrix suggested tha t there

were no clear divisions of linker type based on their composition (Figure 5.8).

5.2.5 The importance of proline

Proline is the most preferred amino acid type in linker and loop regions. Proline is

unique among protein residues as it is a cyclic imino acid with no amide hydrogen

to donate in hydrogen bonding. Therefore, it cannot fit into the regular structure

of either a-helix or ^-sheet and is a common ‘breaker’ of secondary structure. Poly-

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Analysis o f domain linking oligopeptides

(a) (b)

Figure 5.7: Ward clustering of linker composition, a) 20 dimensional space, b) 3dimensional space.

0.12

0.1

w 0.08

c 006W)

0.04

0.02

Dimension

Figure 5.8: Principle component analysis - Eigen values.

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Analysis o f domain linking oligopeptides

proline forms an ordered left-handed helical structure (Mandelkern and Liberman,

1967), maintained by van der Waals interactions between non-bonded atoms and

dipolar interactions.

Proline residues show a preference to be either in the first turn of a helix or after

the C-terminal end. Proline is the second most common residue in the first position

of a helix, although it does infrequently occur in central positions (Chakrabarti

and Chakrabarti, 1998). The ring pushes away the preceding turn of the helix

by approximately 1Â producing a bend of 26“ in the helix axis and breaking the

hydrogen bonds at position i-3 and i-4 (Barlow and Thornton, 1988). Proline

introduces some motion into a helix, that enables a number of different conformations

at that region (Pastore et ai, 1989). It is suggested that proline induces essential

hinge bending in transmembrane helices that are required in ion channel gating

(Tieleman et a i, 2001). Proline has the highest positional preference for being in

a turn (Chou and Fasman, 1974), and is therefore almost always exposed on the

protein surface, although its side chain is chemically hydrophobic.

NMR studies suggest that proline rich sequences form relatively rigid extended

structures and show ‘elbow bending’ dynamics (Radford et a i, 1987). Two prolines

in a row favour the poly-proline, or collagen, conformation, which is extended but

cannot form a ^-sheet, whereas short proline rich sequences are stiff, with non­

interacting connections. This is the most likely reason why proline is the preferred

linker constituent. It cannot hydrogen bond to any surrounding amino acids,

avoiding ordered structure formation and contact with the neighbouring domains.

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Prolines can adopt two conformations, a ((f) = -61°, if) = -35°) oi p (<f) = -

63°, ^ = 150°). The conformation of the proline is influenced by the preceding

residue, and when the preceding residue is hydrophobic, proline generally favours

the /^-conformation (MacArthur and Thornton, 1991). Hydrophobic residues are the

preferred amino acid type in the preceding position to proline within the linkers.

Proline hypothesis o f protein folding

Peptide bonds are planar and can be either in the trans (u = 180°) or cis (w

= 0°) conformation with respect to the two successive C a positions. The trans

state is strongly favoured in peptide bonds that do not involve proline residues.

Peptide bonds between proline and its preceding residue (Xaa-Pro) typically exist

in equilibrium between cis and trans isomers in solution. The geometry is such

that a cis proline always forms a turn, which is known as a type VI or cis-Pro

turn. Conversion between cis and trans is very slow, requiring the disruption of

a pseudo-double bond. The activation energy barrier for cis-trans isomérisation

of Xaa-Pro peptide bonds has been well characterised with values ranging from

80-100kJ mol~^ (Reimer et ai, 1998). One of the most widely accepted concepts is

that cis-trans isomérisation of Xaa-Pro can cause slow protein folding rates (Brandts

et a l, 1975). Proteins generally fold on a time scale of microseconds to seconds. If a

folding polypeptide chain contains many Xaa-Pro in the wrong conformation, then

it may take several seconds for the protein to reorganise itself. The rate and extent

of structure formation depends primarily on the location of the incorrect Xaa-Pro

isomers. If at the surface of the folded protein, more extensive structure formation

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Analysis o f domain linking oligopeptides

of the fold intermediates would be allowed (Schmid et o/., 1993), but if the incorrect

Xaa-Pro isomers are at a site located in the core of a protein, or an inter-domain

linker, this would be rate limiting. Folding steps and propyl-isomerisation steps can

be mutually interdependent. On one hand, the presence of incorrect isomers in the

chain can decelerate crucial folding steps, and on the other hand rapid chain folding

can affect the equilibrium and kinetic properties of Xaa-Pro isomérisation (Schmid

et a l, 1993).

The preceding residue, Xaa, greatly affects cis-trans interconversion rates. When

Tyr precedes Pro, it has the highest propensity to be cis when compared to all other

amino acids (MacArthur and Thornton, 1991). Amino acids with aromatic side

chains, Tyr, His, Phe and Trp, have been found to specifically reduce isomérisation

rates when in the Xaa position (Reimer et al, 1998). Interestingly, all four of these

residues are found to be the least preferred of the amino acids when paired with

Pro in both medium sized and non-helical linkers (Table 5.2, Table 5.4), but His is

one of the most preferred types to proceed Pro in the helical set (Table 5.5). Amino

acids with higher cis-trans rate constants, such as Ala and Gly, generally have small

side chains (Reimer et a l, 1998). The Ala-Pro amino acid pair is highly favourable

in linkers, whereas Gly-Pro is highly unfavourable. It should be noted th a t the

propensity to be in the cis conformation is high in the Gly-Pro pair (MacArthur

and Thornton, 1991; Reimer et ai, 1998). The rate constants for trans to cis

isomérisation as measured for Ac-Ala-Xaa-Pro-Ala-Lys-NH2 pentapeptides (Reimer

et al, 1998) are roughly correlated to the Xaa-Pro pair linker propensities, with a

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Analysis of domain linking oligopeptides

correlation coefficient of -0.537 (Figure 5.9). The faster the conversion from trans

to cis in Xaa-Pro, the less likely the pair are to occur within a linker. Although

the reverse, cis to trans, has a correlation coefficient of only -0.31. The residue

preceding Pro within a linker will have a low propensity to be in cis conformation

and will have slow trans to cis conversion rates, and faster cis to trans rates. This

again indicates that linkers fold more rapidly than the domains and act as spacers

to allow the domains to fold independently.

2

1 5

a.o-

I

0.5

0 2 3 4

Trans to cis rate constant

Figure 5.9: Xaa-Pro linker propensities versus trans-cis rate constants (Reimer et al, 1998). Rate constants are measured at 4“C in sodium phosphate buffer (pH 5). Values for His are not included. The data shows a correlation coefficient of -0.537. Linker propensities are for the complete linker set.

The central role to folding that Xaa-Pro isomérisation plays is further highlighted

by the existence of the enzyme peptidylpropyl cis-trans-isomerase, which catalyses

the reaction (Fischer et al., 1984). Isomérisation rates are increased by transferring

the substrate to a hydrophobic centre, destabilising amide resonance structures and

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Analysis o f domain linking oligopeptides

double bond character. The more hydrophobic Xaa, the faster the catalysis from

cis to trans (Stein, 1993). It is known that rates of Xaa-Pro isomérisation are

enhanced in hydrophobic environments because the transition state for the amide

rotation is non-polar relative to the reaction state, and is stabilised in a non-polar

environment (Stein, 1993). The preferred Xaa amino acids in the linker sets are

often hydrophobic; Pro, Met, Val and Leu, in order of preference (Table 5.1). All

have a high preference for extended structures ((f) = - 6 3 ° , = 150°) (MacArthur and

Thornton, 1991).

A cis-Pro isomer reverses the direction of the polypeptide chain and this would

bring two domains together when present in a linker. This is an obvious disadvan­

tage, leading to conflict of the two domains during folding and therefore, non-native

interactions. Xaa-Pro residue pairs in the linkers are those tha t are most likely to

speed up isomérisation rates and reduce trans-cis conversion. The rate of cis-trans

interconversion is very slow, as an unfolded protein will have an equilibrium between

cis and trans isomers at each peptide bond. The majority of peptide bonds must

have the correct isomer for re-folding to occur, so that the greater the number of

Pro residues the slower the re-folding. Regions high in Pro content such as linkers,

will experience a restriction in folding, while other regions will fold rapidly. It

is important that the composition of the linker reduces the occurrence of cis-Pro

isomers.

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Analysis o f domain linking oligopeptides

5.3 Linkers for gene fusion

Multi-functional enzymes are generally composed of a number of discrete domains

and are connected by inter-domain linkers. The use of protein domains in the

creation of novel protein and enzymic activities offers unlimited possibilities (Nixon

et a l, 1997). As mentioned before, by the appropriate engineering of unnatural

inter-domain linkers within modular polyketide synthases, it was shown that the

design of the linker is extremely inportant in their ‘assembly line’ mechanism of

catalysis (Gokhale et ai, 1999). The linkers provide dynamic structural bridges for

the movement of ligands across the modules. This has led to the ‘Linker hypothesis’:

gene duplication is necessary and sufficient for the evolution of multidomain systems

as long as linkers provide suitable module connectivity (Gokhale et a l, 1999). This

provides a strategy of combinatorial biosynthesis, in which modules are the building

blocks of genetic manipulation. Linker design is an obvious necessity in protein

engineering. Linkers should be invulnerable to host proteaises, as they are often the

targets for degradation (Hellebust et a i, 1989). They should be flexible, keeping

domains apart while allowing them to move as part of their catalytic function.

5.3.1 Linkers on the web

The database of inter-domain linkers will provide an ample source of potential linkers

for novel fusion proteins. These linkers provide the conformation, flexibility and

stability needed for a protein’s biological function in its natural environment.

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Analysis o f domain linking oligopeptides

The linker database is available at http://mathbio.nimr.mrc.ac.uk. The database

is organised into six categories, based on the number of linkers between two domains,

1-linkers, 2-linkers, 3-linkers, greater than 3-linkers, and the two classes ’non-helical’

and ’helical’. The database can be searched using several query types, such as PDB

code, PDB header, linker length, Co; extent or sequence. Searches using regular

expressions are possible and can be used to search for particular sequence motifs.

Each linker category may be queried individually or together.

The output from a search will display a list of linker identifier codes along with

their sequences. A hyper-link connects each linker identifier to an atomic co-ordinate

page (Figure 5.10), which contains an interactive 3D atomic structure of the linker.

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Analysis of domain linking oligopeptides

1befA_1

%#

•v/

6

A

IDCMF TL TAASSESINx sSADSD THEADERCOMPHDCOMPHDCOMPHDCOMPNDCOMPHDCOMPHD

lbefA_l1-2 1/17988CGGCWXLEGECCCSBCBCBCC-C100.471 0 349 0 . 122 20.088

PROTEASE MOL_ID: 1;2 MOLECULE:3 CHAIN: A,4 FRAGMENT :56 SYNONYM: NS3-PR0,

ENGINEERED: YES

DENGUE VIRUS NS3 SERINE PROTEASE; PROTEASE DOMAIN, RESIDUES 1 - 183;

SO U R C E MOL ID : 1;ATOM 581 N C Y S A 79 22.135 49.908 39.219 1. 00 30 . 72 D2PN NATOM 582 CA C Y S A 79 21.247 49.065 38.424 1. 00 29.74 D2PN CATOM 583 C C Y S A 79 22.030 47.954 37.725 1. 00 28. 73 D2PN CATOM 584 0 C Y S A 79 23.252 48.032 37.600 1. 00 31. 00 D2PN 0ATOM 585 CB C Y S A 79 20,499 49.909 37.390 1. 00 32.56 D2PN CATOM 586 SG C Y S A 79 19.277 51. 040 38.090 1. 00 30 . 01 D2PN SATOM 587 N GLY A 80 21.320 46.930 37.260 1. 00 28.86 D2PN NATOM 588 CA GLY A 80 21.974 45.825 36.583 1. 00 28.25 D2PN C

Figure 5.10: Linker database file for linker lbefA_l. Visualisation of the linker in 3D is achieved by using Jmol molecule viewer (http://jmol.sourceforge.net/). The database will provide an ample source of potential linkers for novel fusion proteins (http://mathbio.nimr.mrc.ac.uk).

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Part III

M ethod developm ent

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Chapter 6

Domain identification by sequence comparison

The best approach to find domains in a novel sequence is to search the sequence

databases. Domains are genetically mobile, frequently moving within and between

biological systems through mechanisms of genetic shuffling (Bork, 1991; Doolittle,

1995; Heringa, 1998). Comparative sequence analysis methods will identify domains

in a sequence tha t are common to many protein families.

Current database search methods make use of a PSSM, or profile, generated

from related sequences to find additional family members, not apparent through

single sequence comparisons (see Chapter 2). The most widely used profile method

is Position Specific Iterative BLAST (PSI-BLAST) (Altschul et a/., 1997). PSI-

BLAST creates a PSSM from stacking local-alignments of sequences found in an

initial database search using gapped-BLAST (Altschul et al., 1997). The PSSM is

then used to further search the database for new homologues, which are in turn added

to the PSSM for additional searches. The process will stop when new sequences are

no longer found, or when the program reaches a fixed number of iterations. A

different approach is taken by the profile method QUEST (Taylor, 1998). Unlike

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Domain identîôcatîon by sequence comparison

PSI-BLAST, QUEST uses an independent multiple sequence alignment program to

generate a true alignment between iterations, and not a master slave alignment,

thereby improving the quality of the PSSM. QUEST also removes any sequences

that are deemed too divergent, so as not to ‘pollute’ the PSSM.

Unfortunately, current search methods ignore the domain content of a query se­

quence, and subsequently falter in their performance when searching a multidomain

protein (Russell and Ponting, 1998). For example, a multidomain query sequence can

often stop an iterative database search prematurely, so tha t many true homologies

are missed. Conversely, sequences that have a domain frequently found in diverse

proteins can cause an explosion of an iterative search, rather than convergence,

obscuring matches to smaller less common domains (Bateman and Birney, 2000).

An inherent problem with iterative searches is ‘m atrix migration’ (also referred

to as ‘profile wander’), which occurs when the search strategy is too permissive,

such that false-positives are attracted in the profile, resulting in the possible loss of

truly homologous sequences found in earlier rounds. The generation of a PSSM in

PSI-BLAST can further lead to a loss of important information. This is because

PSI-BLAST profiles are trimmed to allow the highest scoring region to be used in a

search, ignoring less conserved regions and often segments of a discontinuous domain

(a domain that is sequentially interrupted by one or more domain insertions (Russell,

1994)). Therefore, a profile will follow a particular route of search that will often

only contain a single domain.

To address the problems associated with iterative sequence searching and to

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Domain identification by sequence comparison

identify structural domain boundaries within a query sequence we have developed

a method called DOMAINATION. DOMAINATION utilises PSI-BLAST version

2.0.10 to identify homologues to a query sequence. The distribution of the aligned

positions of N- and C-termini from PSI-BLAST local sequence alignments is used

to identify potential domain boundaries. The accuracy of domain cutting is

assessed by a comparison to the location of known structural domain boundaries.

DOMAINATION incorporates a new strategy for chopping and joining domains and

domain segments in an attem pt to track a protein’s evolutionary pathway from its

loss and gain of domains. Profiles are created for each domain or domains inferred

from the corresponding PSI-BLAST local alignments and used in further database

searches.

6.1 M ethod

DOMAINATION is written in ANSI C and Perl5 and run in parallel on a 128-

processor Linux cluster. Figure 6.1 presents an outline of the method. DOMAINA­

TION incorporates several procedures: sequence searching using PSI-BLAST, a

protocol for domain delineation and multiple alignment generation using PRALINE

(Heringa, 1999) and OBSTRUCT (Heringa et al, 1992).

6.1.1 DOMAINATION search protocol

DOMAINATION starts with an initial run of PSI-BLAST to find significant se­

quences (Figure 6.1). Up to four PSI-BLAST iterations are performed (-J4 option)

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Domain identification by sequence comparison

Submit query iPSI-BLAST

4 iterations

Delineatedomainboundaries

Createmultiplealignments

1

Figure 6.1: Flow diagram of DOMAINATION. The method begins with an initial run of PSI-BLAST (Altschul et al, 1997) to search the NRDB with a single query sequence. All significant gapped local alignments are collected from the PSI-BLAST output. A new domain cutting protocol is then applied to the query sequence, based on the distribution of N- and C-termini of the local alignments. Multiple sequence alignments are generated in parallel for each domain and a non-redundant set of corresponding local alignments. Selection of sequences for the alignment is achieved using OBSTRUCT (Heringa et al, 1992) to find the largest subset of sequences within a range of 20% to 60% sequence identity. Each domain sequence set must contain the original query sequence to prevent profile wander. Multiple alignments are constructed for each domain sequence set using PRALINE (Heringa, 1999). The multiple alignments are submitted simultaneously in further PSI-BLAST searches of the NRDB. The whole process iterates until no new sequences are detected or when domain cutting ends.

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Domain identîûcation by sequence comparison

using the parameters described by Park et al. (1998): an E-value cut-off of 0.0005

(-h0.0005 option) for selecting homologues for the PSSM and a threshold of 0.001 to

reduce false positives (-eO.OOl option). Low complexity regions in the query sequence

are filtered using SEG (Wootton, 1994) (default in PSI-BLAST). To complement this

filtering, SEG was also used to identify PSI-BLAST local alignments with regions of

low-complexity. Any local alignments that contained more than 15% low complexity

regions were removed. A record was kept of all the sequences found in the searches.

We designed a straightforward protocol to chop the query sequence into domains.

For each putative domain a multiple sequence alignment was generated using the

PSI-BLAST local alignments (see section on multiple sequence alignment construc­

tion below). Each domain alignment was then used to search the non-redundant

protein sequence database (NRDB) with PSI- BLAST options -B, to ‘jum p-start’

the alignment, and -J4. The full process was repeated until domain cutting finishes

or when no more sequences were found by PSI-BLAST.

6.1.2 Domain cutting

We avoid the need for all-against-all sequence comparison and clustering by employ­

ing a simple method of domain delineation using the distribution of both the N- and

C-termini for local alignments generated from a PSI-BLAST search (Figure 6.2).

The occurrence of N- and C-termini, for each local alignment, are counted along

the length of the query. In cases where the termini positions represent the real start

and end positions in a database sequence (<10 residues from its termini) we are

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Domain identification by sequence comparison

(a)

00

-10

0 100 20050 150

Residue position

(b)

Figure 6.2: Method of domain cutting, a) The domain structure of ribonucleoprotein A1 (PDB code 2upl). The N-terminal domain is coloured in purple and the C-terminal domain is coloured in cyan as predicted by DOMAINATION. b) The distribution of N- and C-termini from local alignments generated from PSI-BLAST for protein 2upl. The black line represents the distribution of N-termini and the red line represents the distribution of C-termini from local alignments. The orange line is the calculated Z-scores of the sum of the two distributions, the blue line. A peak above a Z-score of two represents the predicted domain boundary.

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Domain identiûcation by sequence comparison

confident that they represent true domain boundaries, and they are subsequently

scored twice. Two smoothing windows are then run across the summed termini,

one for the N-terminal distribution and the other for the C-terminal distribution,

using a window size of 15 residues. The two distributions are then combined using

a biased protocol. Higher weight is assigned to regions that have an abundance of

both N- and C-termini, such as regions designated the end of one domain and the

start of a second domain.

If

Ni X Ci = 0 (eitherNi = 0 or Ci = 0) (6.1)

then sum boundary positions

Si = Ni + Ci

otherwise use bias

Si = Ni + Ci + (Ni X Ci)/(Ni X Ci)

where Ni and Q are the sum of N-termini and C-termini, respectively, at residue

position i in the query sequence, and Si is the overall sum of the termini. A window of

length seven is used to smooth the sum, 5, of the two distributions. The final curve is

normalised by calculating self Z-scores for all positions in the summed graph, which is

equivalent to normalising the data to a zero mean and unit standard deviation. Any

peaks above a Z-score of two are taken to represent potential domain boundaries.

Because domains are rarely observed to be below 30 residues (Jones et a i, 1998), any

regions between two boundaries of less than 30 residues are split equally between two

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Domain identîûcation by sequence comparison

domains, or removed if within 35 residues of the N- or C-terminal ends of the query

sequence. A value of 35 was used to reduce the possibility of premature cutting due

to the large number of local alignment termini that will align near the termini of the

query sequence. This ‘end-effect’ is greatly reduced by ignoring the first and last 35

residues in the query.

6.1.3 Finding sites of domain deletion, domain shuffling and circular

permutation

Regions that correspond to large deletions within a query sequence are likely to

cause errors in domain cutting. A large deletion of greater than 35 residues is likely

to be the loss of a domain during the protein’s evolution, but it is not clear whether

the excised domain would have originally been positioned between two domains, or

inserted within a single domain. Deletions will be populated by a large number

of local alignment termini, which would signify a domain boundary. Therefore, we

attem pt to identify such sites of deletion and remove the corresponding N- and C-

termini, after which smoothing and boundary assignment is repeated. A boundary

is deemed a deletion site when the two adjacent segments in the query sequence, a

segment being the region between two boundaries, share hits to the same sequences,

but the matched sequences show more than 35 intervening residues between the two

segments.

In the same way we used local alignments to identify domains that have a different

sequential order within a database sequence, or highlight circular permutations

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Domain identification by sequence comparison

(Lindqvist and Schneider, 1997). A domain shuffling event is declared when two

local alignments (>35 residues in length) within a single database sequence match

two separate segments in the query (>70% overlap), where the sequential start and

end points of alignments are reversed between the query and the database sequence.

A distinction is made between a domain shuffling and circular permutation. A

circular permutation is a small sequence order reversal, possibly corresponding to

units of secondary structure and must be in adjacent segments, whereas domain

shuffling must correspond to large sequence order reversals that do not have to be

adjacent in sequence. Therefore, a circular permutation is noted when two adjacent

local alignments of lengths less than 35 residues were reversed in sequence order.

The N- and C-termini positions of any located circular permutation were removed

from the distribution using the procedure applied in cases of deletion.

6.1.4 Assigning continuous and discontinuous domains

We judged if a delineated segment could exist as an isolated unit or rather be part

of a discontinuous domain by calculating an ‘independence’ score for each segment.

Segment independence is based on the percentage of sequences that align with the

segment and not with any other, and it is insisted that a matching sequence overlaps

the segment by at least 70%. A segment is considered independent if more than 10%

of its matching sequences do not align with any other segments. Such a region is

termed a homology domain, and is thought to be able to exist independently.

Any segment with an independence score below 10% is joined to other ‘depen­

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dent’ segments with similar sequence matches. To do this, an association score was

assigned to all pairs of dependent segments. If a number of sequences match two

non-adjacent segments (>70% overlap to each) and does not match the segment(s)

in between (<30%), then these segments are likely to form parts of a discontinuous

domain. Segments are joined if the majority (>50%) of sequences have association

between the two segments. With this approach, segments constituting discontinuous

domains can be identified.

6.1.5 Multiple sequence alignment construction

The NRDB contains non-identical sequences (<100% sequence identity), and there­

fore is not biologically non-redundant. To achieve maximum information content

from the PSI-BLAST results we must filter the sequences for redundancy. A non-

redundant set of sequences (20-60% sequence identity) was generated for all the

sequence fragments matching a particular domain. This was achieved by using

the program OBSTRUCT (Heringa et al., 1992). OBSTRUCT produces the largest

possible subset of protein sequences with all pairwise sequence identity scores within

a particular range.

For each domain sequence set a multiple sequence alignment was created using

the alignment method PRALINE (Heringa, 1999), which was run using default

settings. The final multiple alignment is converted into a format readable by PSI-

BLAST which requires that the alignment length is equal to the sequence length of

the domain. All sequences that extend the boundaries of a domain are trimmed and

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no gaps can be introduced into the query sequence so tha t residues in the database

sequences are removed opposite positions where gaps in the query would otherwise

appear.

6.1.6 Protein test sets and benchmarking

A set of 452 multidomain proteins ranging from two to five domains, with no more

than two linkers between two domains, are used to test the performance of our

method to correctly define structural inter-domain boundaries. Two inter-domain

connections constitute a single insertion event of one domain into another to form a

discontinuous parent domain. A protein with more connections between two domains

is unlikely, but possible (Chapter 5). Such domains correspond to a structural

definition and not an evolutionary definition (module), which will always contain

at least one recognisable contiguous sequence stretch (Das and Smith, 2000). The

protein test set was derived from the same non-redundant database used in the

analysis of linkers (Chapter 5) and all structural domains were defined using the

method described by Taylor (1999) (see Section 4.1.1).

All sequence segments corresponding to a structural domain within NCBI test

sets were used as separate queries in PSI-BLAST searches against the NRDB

(options -j4, -eO.OOl and -hO.0005). Segments of discontinuous domains were joined

to create a full domain sequence before searching.

Searches at the domain level should find the majority of related proteins in

the database. The sequences that were found in the individual domain searches

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were used to compare the performance of DOMAINATION and PSI-BLAST. The

percentage of sequences found in common between PSI-BLAST searches with the

individual domains and searches with the full-length proteins using DOMAINATION

or PSI-BLAST was calculated in two ways:

• Sequences found by the full-length protein searches must also be found in all

individual domain searches carried out for each domain within that sequence.

• Sequences found by the full-length protein searches must also be found in at

least one of the individual domain searches.

A further comparison was made using a set of proteins with domains assigned at

the sequence level. A set of fifteen multidomain proteins, ranging from two to six

domains, were taken from the SMART domain database (ERG_HUMAN, Q94222,

Q9V9J5, A4.SAISC, AAF44820, AAG55540, AAG58344, AAH02392, MEPB_RAT,

057581, 097507, Q99PX0, Q9D398, SMZ7_BRARE, I1BC_RAT) (Schultz et al.,

2000).

6.1.7 Analysis of statistical significance and search performance

The significance scores given to each sequence found by PSI-BLAST do not corre­

spond to the original query sequence, but rather to the PSSM created in iterative

steps. The mentioned problem of profile wander in PSI-BLAST searches might

therefore distort the true significance scores and lead to the occurrence of false pos­

itives or negatives. As an alternative control experiment, we verified the statistical

significance of the found segments by relating them to the original query sequence.

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To do this we used SSEARCH (Pearson and Lipman, 1988), an implementation of

the Smith and Waterman algorithm. We used an E-value cut-off of 0.1, which led

to alternative sets of sequences being found by each of the three methods. The new

statistical significance scores enabled the results of DOMAINATION to be compared

with a normal running of PSI-BLAST using the test proteins and also PSI-BLAST

searches using the known isolated structural domains. As before the number of

significant hits found by each of the three methods was compared.

6.2 Results and discussion

6.2.1 Boundary prediction accuracy

The success of DOMAINATION to delineate a protein into its putative domains

is measured by comparing the cutting positions to known structural domain

boundaries. Of the 452 multidomain proteins in the NCBI set, 56% (254 pro­

teins) were predicted to have more than one domain. In its first iteration,

DOMAINATION made 335 boundary predictions, of which 42.0% were within

20 residues of a true boundary. We have used a window of 20 here as this has

been used in previous methods to test boundary predictions (Wheelan et a i, 2000;

Kuroda et a i, 2000). Overall we find a total of only 23.3% of all linkers in the

452-protein set. This is not a surprise since the boundaries of structural domains

will not always constitute the boundaries of a sequence domain or module. Also,

domain boundaries cannot be recognised without some domain shuffling amongst

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various related proteins. In this case, only tertiary structural conformations can

point to the actual domain boundaries.

The average number of correct predictions per protein is 49.9% =b 44.6%, after

two iterations of DOMAINATION, much higher than random (19.5% ± 9.5 per

protein), which is based on the percentage of residues in a protein that would allow

for a correct prediction. Prediction accuracy is not affected by using different PSI-

BLAST significance thresholds, but the number of proteins with predictions increases

with higher thresholds (Figure 6.3).

The results reported by Wheelan et al. (2000), based on the top two predictions

for two-domain proteins only, are accurate to a resolution of ±20 residues in 57% of

cases, but fails dramatically when analysing proteins with three or more domains.

The results of Kuroda et al. (2000) on a test set of 52 multidomain proteins with

largely solvent exposed inter-domain boundaries, achieved a prediction accuracy of

52.5% within a window of ±20, but with a small coverage of only 14.4% of all linkers

detected.

6.2.2 Joining discontinuous segments

Out of the 452-protein test set, 104 (23%) structures comprised at least one

discontinuous domain. Only a few of the segments corresponding to a discontinuous

domain were successfully joined (30%). We tested DOMAINATION on a set of

‘pseudo-proteins’ with fake domain organisation. These multidomain proteins were

made from a set of representatives of common and less common domain families

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100

le -0 6 0.0001

E-value cut-offle -lO le -0 8 0.01 100

Figure 6.3: Domain prediction accuracy as a function of E-value cut-off. PSI-BLAST is run with four iterations on each of the 452 multidomain proteins. The black line represents the percentage of proteins having a prediction; this is seen to increase when more sequences are found. The continuous blue line is the percentage of true boundaries found per protein after the first iteration of DOMAINATION. The continuous red line is the percentage of boundary predictions made that are correct for each protein in the first iteration. The dashed lines correspond to the solid lines above, but for the second iteration of DOMAINATION. The second iteration sees more domain boundaries being found, but with a lower success rate, i.e. more false predictions. The green line is the performance of a random prediction. All successful predictions are within a resolution of ±20 residues from a true boundary position.

blindly selected from the Pfam (version 5) sequence-domain database (Bateman

et al, 2000). Two types of multidomain protein were generated, fused and inserted.

The former simply means the concatenation of two or more domains, while the latter

denotes the insertion of one domain into another. The majority of pseudo-proteins

that had a domain insertion had their discontinuous segments successfully joined

by DOMAINATION and all boundaries found to be within ±5 residues. The main

difference between the pseudo-proteins and the set used here is that the boundaries

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in the pseudo-proteins are defined at a sequence level and are therefore more clearly

identifiable. In theory our method used to find discontinuous domains should be

successful, but with a pre-requisite that the domain boundaries are accurately

found. The set of proteins that has at least one discontinuous domain had a domain

boundary prediction accuracy of 34.2% within a resolution of ±20 residues.

Many proteins predicted to have three or more domains often have joining events

in the first iteration of DOMAINATION. This occurs when a central domain is

observed to have been inserted between two ‘parent’ domains at some stage of the

protein’s evolution. DOMAINATION detects the insertion and joins the parent

domains together. After subsequent database searches the parent domains are then

separated and submitted as individual database searches. Our method differs to

any other domain cutting method, because it joins fragments that flank an identified

domain. The chopping and joining of domains by DOMAINATION allows a possible

evolutionary history to be established. An evolutionary tree could be developed

based on alignments of the domain sequences identified in the query protein and its

homologues.

6.2.3 Testing DOMAINATION versus PSI-BLAST

To test the added value of DOMAINATION over basic PSI-BLAST we used the

results from a PSI-BLAST database search of the individual domains as a control.

This means tha t we take the sequences found by PSI-BLAST, when given the exact

sequence segments corresponding to domains, including discontinuous domains. We

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then test to what extent PSI-BLAST and DOMAINATION, when run on the

complete sequences, can capture the sequences found by PSI- BLAST searches

using the individual domains. Therefore, there are three search procedures used:

PSI-BLAST with structural domains (reference set), PSI-BLAST searches with the

complete sequence and DOMAINATION searches with the complete sequence. The

reference PSI-BLAST searches are run on the structural domains excised from the

NCBI set of 452 proteins and a set of sequence domains assigned in the SMART

database (Schultz et a i, 2000).

6.2.4 Database sequences found to match all structural domains in

the query

Table 6.1 displays the number of database sequences found in common between

reference PSI-BLAST searches using the individual domains and those found using

PSI-BLAST and DOMAINATION searches using the complete proteins. Sequences

found using PSI-BLAST searches of the full-length proteins are 97.9% common

with the sequences found in all searches with the individual domains, i.e. database

sequences for which every individual domain was found by the PSI-BLAST reference

search. DOMAINATION finds 99.1% of these common sequences and therefore

captured more than half (55%) of sequences that remained undetected by PSI-

BLAST. The high percentages are expected since protein sequences containing all

domains should easily be found by both methods.

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Table 6.1: The number of homologous sequences found and missed by the two methods, PSI-BLAST and DOMAINATION for the set of 452 proteins with known 3D structure

reference set 1 PSI-BLAST DOMAINATION

reference set 2 PSI-BLAST DOMAINATION

Seq’s found 28581 28921 67300 73274Seq’s missed 618 278 13542 7568% missed 2.12 0.95 16.8 9.36

Reference set 1: All sequences found using searches of the full-length protein sequence that are also found by searches using PSI-BLAST with the individual domains; all sequences found contain all domains present in the full length query protein. Reference set 2: All sequences that are found that are in common with at least one of the individual PSI-BLAST domain searches; sequences found contain at least one of the domains in the full length query.

6.2.5 Database sequences found to match any one of the structural

domains in the query

When we increaise our reference set of sequences by allowing those for which not all

individual domains are detected within a sequence by the reference PSI-BLAST, the

test becomes more difficult for the two methods. Only 83.2% of sequences found by

PSI-BLAST using the complete proteins were in common to those found by at least

one of the individual domain searches. In contrast, DOMAINATION finds 90.6% of

these sequences. Overall DOMAINATION can detect 44% of the sequences that are

missed by a PSI-BLAST search on a complete query sequence. PSI- BLAST ignores

the domain content of proteins and as a result misses significant domain homologies.

The reason DOMAINATION does not find all domain homologies is because it fails

to delineate over a third of the proteins in the test set.

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6.2.6 Comparing DOMAINATION and PSI-BLAST using SMART

domains

A further comparison was made between PSI-BLAST and DOMAINATION using

a set of proteins with domains assigned at the sequence level in the SMART

domain database (Schultz et al, 2000). As before, three methods were employed:

PSI-BLAST and DOMAINATION searches with the complete protein sequences

are compared to the results of PSI-BLAST searches with the individual domains

(Table 6.2).

Sequences found using PSI-BLAST searches of the full-length proteins are in

common with 93.1% of the sequences found in all searches with the individual

domains, i.e. database sequences found to contain all SMART domains. DOMAINA­

TION finds all (100%) of these common sequences. Again, the high percentages are

expected since protein sequences containing all domains should easily be found by

both methods.

Only 51.6% of sequences found by PSI-BLAST, using the complete proteins,

were common to those found by at least one of the individual domain searches. In

contrast, DOMAINATION finds 83.0% of these sequences. Overall DOMAINATION

can detect 65% of the sequences that are missed by a PSI-BLAST search on a

complete query sequence.

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Table 6.2: The number of homologues found and missed by the two methods PSI- BLAST and DOMAINATION for the set of 15 proteins with SMART domain annotation.

reference set 1 PSI-BLAST DOMAINATION

reference set 2 PSI-BLAST DOMAINATION

Seq’s found 323 347 3672 5902Seq’s missed 24 0 3438 1202% missed 6.9 0 48.4 17.0

Reference set 1: All sequences found using searches of the full-length protein sequence that are also found by searches using PSI-BLAST with the individual domains; all sequences found contain all domains present in the full length query protein. Reference set 2: All sequences that are found that are in common with at least one of the individual PSI-BLAST domain searches; sequences found contain at least one of the domains in the full length query.

6.2.7 SigniÊcance testing

An uncertainty with the above testing scenario is that many false positives can

potentially arise when performing a PSI-BLAST search for reasons mentioned earlier.

To reduce the potential number of false positives we used SSEARCH (Pearson

and Lipman, 1988) to test the statistical significance of any found sequence with

the query sequence over the NCBI test set. PSI-BLAST scores will not reflect

significance to the original query sequence, but to the profile used in the search.

Significant hits found using SSEARCH are likely to reduce the number of false

positives obtained in the searches and will give an idea of the number of true

homologues found by the methods, although this will ignore many distant homologies

that can only be identified by profile based methods (Figure 6.4).

Based on this scenario, searches using DOMAINATION find the majority of

true homologues. Using an E-value cut-off of 0.1 as a significance threshold, the

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— P S I-B L A S T (d o m a in )

P S I -B L A S T (fu ll p ro te in )

P S I -B L A S T (d o m a in -ffu ll p rote in )

D O M A IN A T IO N

0.6

0.4

0.2

18000 20000

Number of sequences30000 40000

Figure 6.4: Significant sequences found by methods. The number of significant homo­logues as denoted by a SSEARCH comparison of the original query against all sequences found using the three search methods; DOMAINATION (green), PSI-BLAST on the complete protein (red), PSI-BLAST on the individual structural domains (black) and the accumulation of sequences found by both PSI-BLAST searches with the individual domains and full-length proteins (blue). Values represent the total sequences found for all proteins in the NCBI set.

performance of PSI-BLAST searches using the individual structural domains is 15%

below that of DOMAINATION. The performance of PSI-BLAST searches using

the complete protein is 14% below that of DOMAINATION. Accumulating the

performance of both PSI-BLAST searches with the individual domains and searches

with the full-length proteins is still slightly below that of DOMAINATION (7%).

PSI-BLAST searches with the structural domains are slightly worse than searches

with the full length sequences, this is because some of the structural domains will

not be observed as independent sequence units in the sequence database and will

therefore limit the number of true homologues found. Using searches at both the

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levels of the domain and the complete protein is advantageous in database searches.

All three methods have the same proportion of sequences found above an

SSEARCH E-value of 1.0 (66%). Not all the sequences found in the PSI-BLAST

searches will be identified as true homologues by SSEARCH.

6.2.8 Computational requirements

DOMAINATION takes under one hour to run a set of 452 multidomain proteins

on a 128 node Linux cluster. The time to run an individual protein against the

NRDB typically varies between 1 and 30 minutes. We used OBSTRUCT (Heringa

et a l, 1992) to filter the sequences that enter the multiple alignment. Not only did

this improve the quality of the PSSM, as a more non-redundant set of sequences

is used, but it also dramatically improves the time taken to construct the multiple

alignments because of the smaller number of sequences to align. Only a few runs

were seen to take over an hour and in these cases the alignment stage was found to

be the limiting step when trying to align large sequence sets. A limit on the number

of sequences to be aligned will reduce this time.

6.3 Conclusion

The concept of the domain is critical in comparative sequence analysis. Profile and

intermediate sequence search (ISS) methods are likely to give poor results when

querying a multidomain protein. It is essential that methods to delineate domains

in a pre-processing step are employed. Our method takes advantage of the fact

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that domains are recurring evolutionary units, by collecting the N- and C-termini

of local alignments to homologous sequences, we can successfully isolate domains

in sequence, and greatly improve comparative sequence analysis by exploiting this

information.

The sequences found in the database searches are post-filtered for compositional

bias (see Methods). Filtering low complexity regions in the query sequence using

SEG is not always successful at preventing matches to sequences with low complexity

regions. Sequences of medium complexity can often lead to an explosion of false

positives (Figure 6.5). We found that post-processing the sequences found by PSI-

BLAST to be an important step.

300

200

100

0.0 0.5 1.0F r a c tio n lo w c o m p le x it y

Figure 6.5: Histogram of percentage low complexity within local gapped-alignments found by a PSI-BLAST search when querying the integrin-binding protein (PDB code IcwvA). Pre-filtering low complexity regions using SEG (Wootton, 1994) does not always prevent large amounts of false positive results. An example is IcwvA. All local alignments that have over 15% of residues in low complexity regions are removed from the PSI-BLAST output.

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DOMAINATION finds more significant hits than both PSI-BLAST searches with

the known structural domains and PSI-BLAST searches with the complete proteins,

suggesting that using the structural domains or complete proteins alone in searches

is not enough to find all homologies. The domains detected by DOMAINATION are

more likely to correspond to ‘evolutionary’ units and are therefore more appropriate

to use in iterative searches than the structural domains, as observed when testing

with the SMART domain set. In light of the fact tha t searching with structural

domains is not always the best approach, we have to question the methods of

benchmarking used to test database search methods, that, have often used structural

domains (Park et a i, 1998; Rost, 1999).

There are many potential problems in domain boundary detection from sequence

comparison methods. Evolutionary relationships are often only obvious at the 3D-

structure level. This is because the amino acid sequence of a protein is mutated

during evolution at a much faster rate than its 3D structure. Core regions of a

protein are found to be better conserved throughout evolution than surface regions,

therefore different subsets of homologous domains may differ in their domain limits.

An obvious flaw of our approach is that it does not attem pt to find repeats

within the query sequence. Internal repeats in a protein sequence often represent

domains (Heringa, 1998). For example, the muscle protein titin comprises about

120 independent fibronectin-III-type and Ig-type modules connected in a linear

arrangement (Praternali and Pastore, 1999; Amodeo et ai, 2001). Detection of

repeats in a sequence is an important pre-processing step in comparative sequence

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analysis. Repetitive sequences are likely to lead to premature convergence of PSI-

BLAST (Bateman and Birney, 2000). Ongoing work will include the integration

of the REPRO method (Heringa and Argos, 1993; George and Heringa, 2000), a

sensitive approach to detect distant repeats. Any repeats found to be likely to

represent a domain should then be aligned and used as a profile in a subsequent

sequence search.

An improvement might be to search a database of domain family profiles in the

initial stage of DOMAINATION. For example, the Pfam (Bateman et al., 2000) and

SMART (Schultz et al., 2000) databases could be searched for domains, followed by

searches of the NRDB database on subsequent iterations. Although well maintained,

the domain databases are likely to be incomplete, and some domain families may

have incorrect boundary assignments, which is why we detect domains ‘on-the-fly’.

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Chapter 7

Predicting foldable units in proteins

As described in Chapter 4, globularity and solubility of a protein can only be

achieved by a particular combination of amino acids. Sequence regions showing

low complexity, non-randomness, lack ordered secondary and tertiary structure

(Wootton, 1994). Romero et al (2001) studied the amino acid composition of

natively unfolded polypeptides and found these sequences to typically show higher

levels of hydrophilic amino acids and lower levels of hydrophobic amino acids. We

showed in Chapter 4 that there is a required ratio of hydrophobic and hydrophilic

amino acids to form a globular protein. Molecules with too many hydrophobic

residues are likely to aggregate in solution and largely hydrophilic proteins will fail

to form a stable hydrophobic core.

Based on the idea that a domain must have an average hydrophobicity and

sequence length within the limits observed in structurally determined proteins we

have developed a method to visualise and predict foldable regions in a protein

sequence.

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7.1 Methods

7.1.1 SCOOBYJDO method

In Chapter 4 we showed that there is a narrow distribution of domain size and hy­

drophobicity, and that a domain’s size is associated with its average hydrophobicity.

Here we use the distribution to predict the location of domains in protein sequence.

A region of sequence is compared to the observed sizes and hydrophobicities in

domains of known tertiary structure and the probability that the sequence region

can fold into a domain is calculated.

Distribution o f domain size and average hydrophobicity

The reference distribution was generated using the NCBI protein data set (Matsuo

and Bryant, 1999), domain content and boundary positions were assigned using the

Taylor (1999) algorithm, described in Section 4.1.1. For each domain a percentage

hydrophobicity was calculated, from the binary assignment used in Section 4.2 where

11 amino acid types are considered as hydrophobic: Ala, Cys, Phe, Gly, He, Leu,

Met, Pro, Val, Trp and Tyr.

The distribution of domain length (axis from 0 to 600) versus average hydropho­

bicity (axis from 0.0 to 100.0) was smoothed using a 2D averaging window to generate

a 3D histogram. The window has a size of 19x1.9, which means that it captures

all domain sequences within a length of 19 residues and average hydrophobicity

of 1.9%. The window sums the number of domain sequences that it encapsulates

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Predicting foldable units in proteins

within the distribution and divides by the total number of sequences in the database,

this value is then placed at the central position of the window. The window moves

along the distribution one unit at a time, covering the entire data set. An example

3D histogram of domain lengths versus average hydrophobicity can be seen in

Figure 4.5a generated for the CATH domain dataset. Each position in the final

3D histogram was then scaled to a value between 0 and 1, where 1 is the highest

point in the distribution corresponding to the most frequent observation. These

values are later used as a reference to judge whether a sequence fragment can form

a domain based on its length and average hydrophobicity.

Generating a domain probability matrix for a query sequence

The program SCOOBY_DO (SequenCe hydrOphOBicitY predicts DOmains) av­

erages the hydrophobicity of a sequence using a multi-level smoothing window

approach (Figure 7.1). The window size is incremented starting from the length

of the smallest domain size observed in the database to the largest domain size.

Each smoothing window calculates the fraction of hydrophobic residues it en­

capsulates along a sequence, placing the value at its central position. This leads

to a 2D matrix where the value at ij is the average hydrophobicity encapsulated

by a window of size j tha t is centred around residue position i. The matrix has a

triangular shape, the apex of which will correspond to a window size equal to the

length of the sequence, if the sequence is less than the maximum window size.

All values in the matrix are then converted into probability scores by referring

to the observed distribution of domain sizes and hydrophobicities described earlier,

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Predicting foldable units in proteins

;

Figure 7.1; Multi-level smoothing window. The horizontal axis corresponds to the sequence position, i, and the vertical axis represents the window length used in the smoothing of sequence hydrophobicity, j . Each position in the matrix corresponds to the average hydrophobicity assigned to the centre of a window during smoothing, therefore a window size equalling the length of the protein sequence will have its score placed at the top-most central region of the matrix.

i.e. given an average hydrophobicity and window length the probability that it can

fold into a domain is found directly from the observed data. An example probability

matrix is shown for protein 2pia in Figure 7.2.

Assigning domain boundaries

From the probability matrix generated for a sequence we can delineate the domains

(Figure 7.3). Starting at the highest probability in the matrix, its corresponding

sequence stretch is removed from the sequence. Therefore, the first predicted

domain will always have a continuous sequence and further domain predictions can

encompass discontinuous domains. If the excised domain is at a central position

in the sequence the resulting N- and C-terminal fragments are rejoined and the

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^ 200

T3 150

150 200 250 300R esidue position

(b)

Figure 7.2: Example SCOOBY_DO probability matrix, a) The three domain structure of phthalate dioxygenase reductase (PDB code 2pia). b) The SCOOBY_DO probability matrix for this protein. Only probabilities greater than zero are plotted. The vertical axis represents the window length used in the smoothing of sequence hydrophobicity. The horizontal axis corresponds to the sequence. Each position in the matrix corresponds to the probability score cissigned to the centre of a window during smoothing, therefore a window size equalling the length of the protein sequence will have its score placed at the top-most central region of the matrix. Red areals represent positions that have a high probability of forming a domain. The black bar at the base of the figure represents the domain organisation of the protein, with linkers coloured in red.

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Predicting foldable units in proteins

probability matrix recalculated as before. The second highest probability is then

found and the corresponding subsequence removed.

a)Find highest scoring region in probability matrix

b)Joinfragments and recalculate probability matrix

c)Reduce probability scores at the join area

Figure 7.3: Domain delineation, a) The highest scoring window is identified in the probability matrix and the sequence region it encapsulates (blue triangle) is removed from the sequence, b) The resulting sequence fragments are rejoined and the probability matrix recalculated, c) The smoothing windows that encapsulate the last 15 residues of the N-terminal fragment and the first 15 residues of the C-terminal fragment have their probabilities set to zero (white bands). This prevents small fragments from being involved in discontinuous domains. If the next highest scoring region is found in the red region then the excised domain will be discontinuous, otherwise it will be continuous. The whole process is iterated until the sequence length is less than 30 or there are no windows with probabilities greater than 0.33.

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The process is repeated until there are less than 30 residues left from the original

sequence, the size of the smallest domain, or there are no probabilities greater than

0.33 in the matrix, to avoid error prone predictions.

After rejoining the sequence fragments it is important that the probabilities at

either side of a join are down-weighted so to avoid small fragments being involved

in subsequent domain delineations (Figure 7.3c). Here, a minimum discontinuous

segment size of 15 is applied. The smoothing windows that encapsulate the last

15 residues of the N-terminal fragment and the first 15 residues of the C-terminal

fragment have their probabilities set to zero. This prevents small fragments from

being involved in discontinuous domains.

Once a final prediction for a protein is made, further alternative predictions are

calculated. This is achieved by removing the area surrounding the initial start site,

the highest scoring region, from the original probability matrix. The cut out area is

in the shape of a diamond of size 17 and 1.7 between two opposite points. This size

was found to be the most effective at separating close starting points tha t would

lead to the same domain predictions. A new start site is then found and the whole

process repeated for a maximum of 30 predictions.

Scoring predictions

The overall prediction for a protein is scored based on the probabilities associated

with each of the excised domains (Equation 7.1). To prevent large numbers of

connections between domains, a penalty is applied every time a discontinuous

domain segment is assigned:

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Predicting foldable units in proteins

V PScore = 7— - (7.1)

6 + 1 ̂ ^

where ' ^ P is the sum of probabilities for each domain predicted for a sequence

and 6 is the number of boundaries assigned. 6 + 1 will equal the number of domains

in a protein if all those domains are continuous, otherwise this value will be larger.

7.1.2 Integrated domain prediction algorithm

A further approach, INDIGO (INtegrated Domain prediction alGOrithm) is based

on the amalgamation of many methods. It locates inter-domain linkers based

on residue composition and lengths observed in the linker database (Chapter 5)

as well as the N- and C-terminus from domain structures found using TUNEID

(http://mathbio.nimr.mrc.ac.uk/~kxlin) a fold recognition method. The SCOOBY_DO

method is used as a post-processor for domain boundary prediction.

TUNEID uses an artificial neural network model to generate PSSMs from struc­

tural domains in the CATH database (Orengo et al., 1997). Each PSSM describes

residue structural environments in the domain. The PSSMs are systematically

aligned to a query sequence using a dynamic programming algorithm. The N- and

C-terminus of domains with significant scores to the query are then fed into a HMM

based on the model described in Durbin et al. (1998). It uses the N- and C-termini

identified by TUNEID, a knowledge of linker and domain length distributions

and amino acid compositions provided in the linker database (Chapter 5). The

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Predicting foldable units in proteins

HMM separates the query sequence into the most likely regions that represent a

domain segment or a linker. Finally, the linker positions described by the HMM are

entered into the SCOOBYJDO probability matrix. This was achieved by increasing

probabilities corresponding to the proposed linker residues by a value of 0.3 to

encourage domain boundary cutting at this position by SCOOBYJDO.

INDIGO is still under development in a collaboration between myself and Kuang

Lin, a fellow PhD student in the department of Mathematical Biology.

7.2 Results and Discussion

Figure 7.4 shows the domain length distribution and average hydrophobicity distri­

bution in the NCBI domain set. The set consisted of 2,750 domains, with an average

sequence length of 149.0 ±100.1 and an average hydrophobicity of 53.5% ±5.7.

400

350

300

g.250

§200

150

100

llu100 200 300 400 500 600 700

Domain length

400

350

300

5.200

^ 150

100

0.2 0.4 0.6Fraction o f hydrophobic residues

(a) Length distribution (b) Average hydrophobicity distribution

Figure 7.4: Distribution of domain length and average hydrophobicity.

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Table 7.1: Average score prediction per proteinMeasure Top 1 Top 10

Weighted N- and C- terminus

SensitivityAccuracy

47.7% (±45.6%) 35.5% (±38.7%)

88.4% (±24.3%) 74.9% (±31.0%)

Unweighted N- and C- terminus

SensitivityAccuracy

41.3% (±44.4%) 27.5% (±35.3%)

86.5% (±26.8%) 75.6% (±32.3%)

Two measures are used to score predictions: percentage of real boundaries predicted (sensitivity) and percentage of correct predictions made (accuracy). ‘Top 1’ is the highest scoring prediction made, and ‘Top 10’ is the best of the top 10 highest scoring predictions made. ‘Weighted N- and C-termini’ were those prediction that were encouraged to assign domain boundaries at the N- and C-terminus by increasing probabilities in those regions.

Predictions were assessed using a selection of proteins taken from the non-

redundant NCBI set. To ensure correct domain annotation, the Taylor (1999)

domain assignments were compared to those made in the SCOP and DALI domain

databases (Murzin et a i, 1995; Holm and Sander, 1997). Only proteins that have

assignments corresponding to within ±10 residues between at least two of the three

definitions were used in this study.

Table 7.1 shows the performance of SCOOBYJDO on this set. Predictions

were assessed using a window of error of ±20 residues, as used in other methods

(Wheelan et al., 2000; Kuroda et al., 2000). Two measures of prediction accuracy

are shown. The first measure is the percentage of boundaries in each of the test

proteins predicted by our method (sensitivity), while the second is the percentage

of all boundary predictions tha t are correct (accuracy).

Two types of predictions were made, one with N- and C-terminal weighting, and

one without. Since the N- and C-terminus of a protein are in fact domain boundaries,

we tried to increase the chance that the domain delineation method would cut at

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Predicting foldable units in proteins

this position. This was done by increasing probabilities corresponding to the first

and last ten residues by a value of 0.3. The SCOOBY_DO method showed a small

increase in performance using the weighting scheme (Table 7.1 and Figure 7.5). The

overall length of the protein is not seen to affect prediction (Figure 7.5).

100

c 40

Cu Top 10 SC O O B Y _E X ) (n o w eigh tin g) Top 10 S C O O B Y _D O (end w eigh tin g) lo p I SC'O O BY _D O (n o w eigh tin g)

Top I S C O O B Y _D O (end w eigh tin g)

200 300 400Chain length

500 600

Figure 7.5: Prediction sensitivity.

SCOOBY_DO outperforms previous domain delineation methods (Wheelan

et al., 2000; Kuroda et al., 2000), including DOMAINATION (Chapter 6). Wheelan

et al. (2000) claimed 50% of sequences under 400 residues in length had perfect

predictions in at least one of a choice of ten guesses. A perfect prediction would have

all boundary predictions within ±20 residues of a true boundary, i.e. an accuracy of

100%. SCOOBY_DO (no terminal weighting) accurately predicts 66% of sequences

under 400 residues within a choice of ten predictions.

SCOOBY_DO shows predictions better than any other reported method, but

its performance using single predictions is still poor. Using a window size of ±20

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Predicting foldable units in proteins

residues is too permissive for practical application and SCOOBY_DO does not reveal

a high level of sensitivity that one would hope from such a large error margin. The

fact that 66% of predictions were perfect within ten attem pts is encouraging and it

is likely that further improvements can be made.

From this analysis it appears that percentage hydrophobicity and domain size

is a good indication of domain location in a sequence, but precise positioning is

still a difficult problem. Domains that are connected by small linkers will not be

identifiable by the SCOOBYJDO method, because window averaging will lose any

signal at the linker.

SCOOBYJDO might therefore be more useful at identifying modules separated

by clear linker regions in large proteins. Figure 7.6 shows a SCOOBYJDO plot

for the giant muscle protein titin, also known as connectin. Titin is approximately

30,000 amino acids long and plays a number of important roles in muscle contraction

and elasticity. Titin consists of up to 300 copies of two tandemly arranged modules,

termed I and II (Labeit et a i, 1990). The two module types belong either to the

fibronectin type III domain (type I module) or to the immunoglobulin I superfamily

(type II module). SCOOBYJDO predicts 282 domains, many are clearly identified

as isolated patterns in the SCOOBYJDO plot, corresponding to high probabilities.

But there are still some regions in the central part of the protein where precise

domain positioning is still unclear.

Improvements to this method may come from using an averaging scheme that

involves specific residue propensities for globular domains, rather than the simple

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Predicting foldable units in proteins

o o o O oCM — —H

Jlo

- T - y T j - r

i jo o o o o ot/i o wn O in

(N —I —^

oCo o o o o§ O m o m(N ^ —I

1 I I

I o o o in o m

' I '*!' I '■

aI

I

o o o mrvl —I

§ oin ^

Figure 7.6: SCOOBY_DO plot for titin. Only probabilities greater than 0.5 are plotted. Blue colouring is used for probabilities above 0.8. Red blocks represent known domain location. The y axis represents the size of the smoothing window and the x axis is residue position.

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Predicting foldable units in proteins

J jb I L l o o o oo m o mC 'l — I — I

oo §

o o o o o m o wn<N —I

o

m(N

O O O O O'<N

(N

O

o

o

fN —'o o o

fl o %

Figure 7.6 cont.

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Predicting foldable units in proteins

binary hydrophobicity. The domain cutting protocol could also be changed. Rather

than using the systematic method of cutting and joining, all possible domain

combinations could be assessed and the best solution found based on the above

scoring scheme (Equation 7.1), to do this would require a dynamic programming

routine (Needleman and Wunsch, 1970).

SCOOBYJDO can also function as a visual tool for domain searching. We

are currently developing a web based service at the National Institute for Medical

Research, where the multi-level smoothing window approach can be used to identify

regions in a sequence corresponding to many properties, not just domain formation,

such as secondary structure or solvent accessibility.

The SCOOBYJDO method will be well placed as a post-processor for other

domain prediction tools, INDIGO uses SCOOBYJDO in this way (see Methods).

Preliminary results of the INDIGO method are promising with a sensitivity of

boundary prediction per protein of 51.4% (±43.0%) and 94.8% (±15.8%) within

one of the top ten predictions. These results are better than the independent

SCOOBYJDO predictions, but there is still room for improvement.

7.3 Conclusion

SCOOBYJDO is a superior method to find domains and their boundaries when

compared to other methods in the literature. However it still falls short of the

sensitivity required for accurate domain boundary assignment. The main reason for

this is that the method relies on there being a large sequential separation of ‘non-

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Predicting foldable units in proteins

foldable’ region between domains while this is not observed to be the case in most

multidomain proteins (Chapter 5).

The advantage of using SCOOBYJDO is that it is extremely fast, completing

a prediction in seconds, and that external information, such as linker predictions,

can easily be integrated in its probability matrix. Using the method in conjunction

with homology searches by DOMAINATION (Chapter 6) is likely to lead to an

added improvement to prediction and may also enhance sequence searches by

DOMAINATION.

An alternative application of the SCOOBYJDO method might be to screen

genomic sequences for ‘foldable’ proteins. This could be used as part of a gene

identification procedure, to aid exon delineation by identifying gene products that

could fold into a globular structure and could also be used for the recognition of

targets for structural genomics projects.

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Chapter 8

Hydrophobic collapse and domain formation

Ab initio folding of a protein sequence into its tertiary structure is one of the

greatest challenges in computational biology, a goal that has eluded researchers

for the last thirty years. The third critical assessment of techniques for protein

structure prediction (CASP) meeting showed that important progress had been

made in this field (Orengo et a l, 1999), but the most successful of the ab initio

methods were based on statistical potentials and derived their structures based on

fragments taken from the PDB. It can be argued that these methods are not truly

ab initio (Osguthorpe, 2000), since ab initio folding should use physical principles

alone. In this sense, our knowledge and understanding of protein folding has made

little improvement.

Although many models of protein folding have been described (for a detailed

review, see Dill et a l (1995)), the main driving force of protein folding was

recognised early on to be the burial of hydrophobic side chains into the interior of the

molecule, creating a hydrophobic core and hydrophilic surface (Kauzmann, 1959).

Since then, many authors (Rackovsky and Scheraga, 1977; Dill, 1985) have stressed

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Hydrophobic collapse and domain formation

the importance of the hydrophobic collapse for protein folding. Since hydrophobic

interactions play a major role in organising and stabilising the tertiary structure

of proteins (Perutz et al, 1965; Rose et al, 1985) such interactions are seen to be

preserved in fold families where there is little or no sequence homology between its

members (Lesk and Chothia, 1980). Following this notion we have applied a protein

folding method that is based on the clustering of hydrophobic residues in space in

an attem pt to predict domain boundaries.

8.1 SnapDRAGON

SnapDRAGON is a method used to identify domain boundaries by collapsing

a polypeptide into globular sub-structures. It incorporates an ab initio pro­

tein folding method, DRAGON (Aszodi and Taylor, 1994a; Aszodi et a i, 1995;

Aszodi and Taylor, 1997) which folds a polypeptide primarily based on the notion of

conserved hydrophobicity of amino acids, as well as secondary structure prediction.

In principle, SnapDRAGON employs the DRAGON algorithm to generate a large

number of ab initio 3D model structures for a given multiple sequence alignment,

with predicted secondary structure, and automatically assigns the domain bound­

aries for each of the models. Final predicted domain boundaries are derived from the

consistency of the domain boundary assignments observed in the set of alternative

3D models.

Model generation by SnapDRAGON results in a set of final 3D models that

vary in structure with different domain contents and associated boundary positions.

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However, at this stage we are not interested in the details of the overall fold, but

merely if we can consistently form isolated globular units given a multiple alignment

and an idea of its secondary structure.

Figure 8.1 is a summary of the SnapDRAGON method. Three example

DRAGON models for the protein 2 eifA are shown out of a total of 100 models that

were generated (Figure 8.1a). Figure 8.1b plots the boundary positions assigned

to each of the 100 DRAGON models. The boundaries for each DRAGON model

are summed along the length of the sequence and smoothed using a biased window

approach. The resulting boundary scores are then normalised. Each significant peak

in the graph represents a predicted boundary (Figure 8 .1 c).

8.1.1 Model generation using DRAGON

The DRAGON method relies on distance geometry. Distance geometry methods

have been applied to protein structure prediction for many years (Kuntz et a l, 1989)

and have been widely used in comparative modelling and to calculate structure from

NMR data (Havel and Snow, 1991; Srinivasan et ai, 1993; Sudarsanam et ai, 1994).

But few distance methods have been used to fold a protein ab initio.

DRAGON takes a multiple sequence alignment and secondary structure informa­

tion as input, and initially constructs a random high-dimensional Ca distance matrix

for a target sequence. Distance geometry, incorporating a hierarchical projection

method, is then used to find the 3D conformation corresponding to a pre-described

target matrix. The target matrix consists of desired distances between residues.

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Hydrophobic collapse and domain formation

(a)

100

g60

15050 100Residue position

4

3

I ’N 1

0

1, 1500 50 100Residue position

(b) (c)

Figure 8.1: Overview of the SnapDRAGON method as applied to protein 2eifA: a) Three example DRAGON models visualised using the MOLMOL package (Koradi et al, 1996). b) Domain boundary positions for 100 DRAGON models, c) Smoothing of boundary positions, the peak represents a predicted boundary.

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Hydrophobic collapse and domain formation

which are inferred from:

• Multiple sequence alignment, based on the assumption that pairs of residues

that are both conserved and hydrophobic are likely to be close together in the

core of the molecule (Taylor, 1991).

• The types and interactions of secondary structure elements.

The embedding into three dimensions is achieved through a ‘divide and conquer’

principle; based on the classic embedding approach by Crippen and Havel (Crippen

and Havel, 1988), which, due to its reliance on matrix diagonalisation, is a com­

putationally expensive operation. Here the C a distance matrix is first divided into

smaller clusters. Then each cluster is separately embedded toward a local centroid.

A final structure is generated from full embedding of the multiple centroids and their

local structures. Final structures generally have hydrophobic cores and hydrophilic

residues on the surface. In addition to the secondary structure elements specified

by the user, secondary structure formation can also spontaneously occur when chain

segments approach each other below a pre-set distance threshold. In this way the

hydrophobic effect influences the formation of hydrogen bonds (Aszodi and Taylor,

1994b).

The DRAGON method can be used to build a set of alternative models, where

the construction of each model starts with a differently randomised C a distance

matrix. This results in a set of final models that are likely to vary in structure with

different domain boundary positions. Again, at this stage we are not interested in

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Hydrophobic collapse and domain formation

the details of the overall fold, but merely if we can consistently form isolated units

of globularity.

As mentioned above, DRAGON requires a multiple alignment of sequences

related to a target protein and secondary structure information. Here, three-state

secondary structure (a, P and coil) was predicted using PREDATOR (Prishman and

Argos, 1996; Prishman and Argos, 1997). In the case of /3-strand annotation, the

original DRAGON method requires a description of the strand connectivity in /3-

sheets. Since we assume that we do not know the strand connectivity, we modified

the input protocol to be able to enter strand information as distance constraints

from the N- to the C-terminal C a atom within each strand and therefore avoid

specifying their connectivity. Maximum and minimum distances for a ^d-strand were

calculated by multiplying the number of peptide bonds in a strand by 3.2Â (anti­

parallel) and 3.4Â (parallel), respectively (Creighton, 1983). Helix predictions for

an input alignment could be given to DRAGON directly. The DRAGON method

enables the specification of confidence values for each of the specified secondary

structures in the range of zero to one, for example a value of 0 .8 is a stringency that

biases DRAGON to follow the recommendations, while deviations can still occur.

8.1.2 Domain boundary assignment

Once the DRAGON models are generated for a given alignment the Taylor (1999)

domain assignment tool is run on each of the structures (see Section 4.1.1). All

domain boundaries obtained, if any, are recorded for an alignment. The proposed

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Hydrophobic collapse and domain formation

boundary positions in each of the DRAGON models are then summed along

the length of the target sequence and smoothed using a biased sliding window

(Figure 8.1). The window is slid over the sequence one residue at a time, where

the values at more central positions within the window are weighted higher than

values toward either end of the window:

nS = (8.1)

i=l

where 5, is the score and Wi the weight at position i. The latter is defined as;

Wi = l /p ^ ( p - \ p - i \ )

where:

p = l/2 (n + 1 )

This means that;

i=l

The window score is therefore biased towards more central positions within the

window, leading to a smoother curve with defined peaks, which appeared to be

unattainable with an unbiased sum-and-divide method of smoothing. The biased

weighting scheme allows very close peaks to merge into one, removing trivially

different boundary predictions.

We carried out three main studies of SnapDRAGON with various parameters

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Hydrophobic collapse and domain formation

and test sets. The first analysis was used to ascertain whether DRAGON could fold

a protein into multiple domains and how close the DRAGON domain boundaries

were to those in a set of real proteins examined. The second analysis compares the

number of domains and boundaries produced by DRAGON for a protein against its

known structure and the accuracy of domain boundary placement. Finally, domain

boundary predictions were performed on a large protein test set.

8.2 Analysis 1

A test set of alignments was taken from the 3D_ALI database of structurally aligned

proteins (Pascarella and Argos, 1992). The structures of the proteins in these

alignments are known and consist of single and multidomain proteins. Here, 50

DRAGON models were created for each alignment followed by automatic structural

domain assignment. The domain boundaries are then summed over the length of the

target sequence and smoothed using a set window length of 2 1 residues. Secondary

structure assignment entered into DRAGON consisted of known helix information

only, strands were ignored in this initial study.

A more detailed study is carried out on a few alignments selected from BaliBase

(Thompson et a i, 1999). BaliBase is a collection of expert multiple sequence

alignments developed for the benchmarking of multiple alignment programs. In this

study, 500 DRAGON models were generated for an alignment using its predicted

secondary structure. To establish a random background for statistical comparison

three methods were employed. First, the alignment was reversed and 500 DRAGON

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Hydrophobic collapse and domain formation

models generated using predicted secondary structure. Secondly, ten randomised

alignments were created and 500 DRAGON models generated for each, again using

their predicted secondary structure. Finally, 500 DRAGON models were generated

for each of five randomised alignments, all with a secondary structure assignment

as predicted for the true alignment. Here we include strand information and a low

confidence value of 0 .1 (range 0 -1 ) is assigned for each strand.

8.2.1 Results

Results for the initial study of 25 3D_ALI alignments are summarised in Table 8.1.

Of the 16 structures classed as multidomain, an average of 42.6% DRAGON models

produced a multiple domain protein, the boundaries assigned to these models are

used to predict the boundary position. An average of 31.6% produced multiple

domains for the nine single domain proteins. Only one domain boundary is usually

predicted with a high score, and when a prediction is made it is often close to

an actual boundary, with an average distance of 22.9 residues to the nearest real

boundary, as described in the GATH domain database (Orengo et al, 1997), in

which domain boundaries are represented by a single residue position.

Three BaliBase multiple alignments (IhfliHrefl, 2pia-refl, luky-refl) were used

in the further study of DRAGON. These alignments were selected because they do

not contain large gaps and two of the three contain a multidomain protein.

lh fh l_ re f l : The target protein in this alignment is Ivvc (vaccinia virus com­

plement control protein) and is 118 residues in length. Ivvc is assigned two domains

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Hydrophobic collapse and domain formation

Table 8.1: Domain boundary prediction on a set of 25 3D-A.LI alignmentsMSA PDB Len Boundaries Doms % multi Peak Obs-predKinase Ipfk 320 143, 251, 307 2 48 177, 271 34, 20cts 2cts 386 277, 387 2 48 317 40prc-2 IprcL 273 166 2 62 196 30prc-3 IprcM 302 143 2 40 46 97prc-4 IprcH 258 119 2 42 166 47pap 9pap 212 11, 109 2 44 94 15cat Scat 498 62, 164, 198, 435 3 62 437 2tin Stln 315 154 2 74 154 0s-prot Iton 245 27, 120, 233 2 70 106, 194 14, 39Pgk 3pgk 404 189 2 56 178 11nbd 4mdhA 333 153 2 52 - -ca_binding 5tnc 162 90 2 42 92 2blm 3blm 257 58, 257 2 42 95 37binding 2gbp 309 110, 259, 292 2 52 248 112tsl 2tsl 317 222 2 46 209 13aat 2aat 314 43, 315 2 58 329 14sbt Isbt 275 - 1 38 197 -tnf ItnfA 152 - 1 8 - -tmv 2tmvP 154 - 1 30 45 -xia 4xiaA 372 - 1 60 355 -sod 2sod 152 - 1 36 72 -rna 7rsa 124 - 1 14 - -rnt 2rnt 104 - 1 8 - -256b 2ccy 127 - 1 24 - -hmgl 3hmg 328 - 1 66 307 -

SnapDRAGON predictions made for the 25 3D_ALI alignments. The ‘PDB’ column contains the name of the representative protein structure in the alignment. ‘Len’ is the sequence length of the representative PDB structure. ‘Boundaries’ are the sequential positions of domain boundaries within the representative PDB structure. ‘Doms’ are the number of domains in each protein. ‘% multi’ is the percentage of DRAGON models that form multiple domain proteins. The ‘Peak’ column contains the boundary predictions made by SnapDRAGON and ‘Obs-pred’ are the sequential distances a prediction is made from the closest true domain boundary.

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Hydrophobic collapse and domain formation

in the CATH database with a boundary at residue 58, both domains being assigned

to the all-/? class with a ribbon architecture (Orengo et a/., 1997). Figure 8.2 shows

a plot of the domain boundaries, generated from SnapDRAGON, against residue

position. Two domains are identified with a boundary at residue 69, 11 residues

away from the actual boundary, 100 (20%) of the DRAGON models were assigned

as multidomain.

6.0

MArev ersed MA random MA random ( s a m e 8 8 )

D)

0.00 50 100 150

Residue position

Figure 8.2: SnapDRAGON domain boundary distribution for lhfhl_refl, a two domain protein with boundary position at residue 58.

The reversed alignment produced 114 (23%) multidomain models, all with

two domains, the boundary at residue 66. The 5,000 models generated from

the randomised set of alignments also identified two domains from 1,110 (22%)

multidomain models with a peak at 62. The 2,500 models generated from the random

alignments, with secondary structure assignment predicted for the true alignment,

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Hydrophobic collapse and domain formation

produced 490 (20%) multidomain proteins with a boundary at 51. Both randomised

methods showed variable domain assignment, but reversing the sequence has no

effect on the domain boundary formation. It is clear tha t in all tested situations

the majority of models had a single domain. The Taylor algorithm will not assign

a domain that is less than 40 residues in length, although smaller discontinuous

segment sizes are possible, the number of potential domain boundaries will therefore

be low within a small sequence (less than 1 0 0 residues).

2p ia_refl: The target protein in this alignment is 2pia (phthalate dioxygenase

reductase) and is 223 residues in length. The BaliBase alignment is truncated, the

complete protein is 321 residues, leaving two domains out of the three with a single

domain boundary at residue 104, as assigned by CATH. The first domain has a /?-

barrel architecture, the second has a 3-layer a-^-a sandwich architecture. Figure 8.3

shows a plot of domain boundary predictions generated from SnapDRAGON, against

residue position. Two domains are identified with a boundary at residue 129, 25

residues away from the actual boundary, 474 (95%) of the DRAGON models were

assigned as multidomain. The reversed alignment produced 486 (97%) multidomain

models, all with two domains, the predicted boundary at residue 128. The 5,000

models generated from the randomised set of alignments also identified two domains

from 4,498 (90%) multidomain models with varying boundary assignment. The 2,500

models generated from the random alignments with identical secondary structure

assignment produced 2,351 (95%) multidomain proteins with a boundary at residue

126. All models produced a boundary at approximately residue 128, 24 residues

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Hydrophobic collapse and domain formation

away from the actual boundary. These results suggest that secondary structure

assignment is important in multiple domain formation by DRAGON, and that

residue conservation in the alignment may have little importance in this particular

case.

3 0 .0

MAr e v er se drandomrandom ( sa m e S 3 )

% 2&0

O)> 10.0

0.00 100 200 3 0 0

Residue position

Figure 8.3: SnapDRAGON domain boundary distribution for 2pia_refl, a two domain protein (truncated) with domain assignment at residue 104.

luky_refl: The target protein in the alignment is luky (transferase) and is

196 residues in length. CATH classifies this protein as having one domain, with a 3-

layer a-^-a sandwich architecture. Figure 8.4 shows a plot of domain boundaries for

alignment luky_regl, generated from SnapDRAGON. Domain boundary assignment

is at highly variable positions. Out of the 500 DRAGON models, 340 (68%) were

assigned as multidomain. The reversed alignment produced 256 (51%) multidomain

models, the majority with two domains, and varying boundaries. The randomised set

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Hydrophobic collapse and domain formation

28COCO

T3C

I<ugI

4 0 .0

- MA reverse randomrandom (sam e S S)3 0 .0

20.0

10.0

0.0100 1 5 0 2000 5 0

Residue position

Figure 8.4: SnapDRAGON domain boundary distribution for luky_refl, a single domain protein.

of alignments produced 3,772 (75%) multidomain models, once again with varying

domain boundaries. The 2,500 models generated from the random alignments, with

secondary structure assignment predicted from the true alignment, produced 2,408

(96%) multidomain proteins with a large peak at residue 60. Although the majority

of the DRAGON models were multidomain, there were no clearly identifiable

common boundaries. It is unclear why the 2,500 randomised alignments produced a

well defined peak, but suggests that having the correct alignment and distribution of

residues is more important than having the correct secondary structure for domain

formation. The high peak would lower the statistical significance of the peaks

deduced from the input multiple alignment and no boundaries would be assigned.

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8.2.2 Discussion

DRAGON does indeed form multidomain structures and like natural proteins,

domain formation by DRAGON is dependent on the length of the protein. Smaller

proteins, less than 1 0 0 residues, will not form multidomain models.

There are no observed differences between the results from the forward and

reversed alignments in the study of three BaliBase alignments. This means that

domain formation by DRAGON does not require a specific sequential ordering of

amino acids or secondary structures. Domain formation is purely from DRAGON’S

inbuilt method of hydrophobic collapse.

Predicted boundaries are often found close to the central position of the align­

ment. Alignments of proteins with more than one domain boundary need to be

analysed before a complete conclusion of DRAGON’S success can be made. A

promising result is that the large single domain protein (luky_refl) did not have

a clear domain boundary predicted.

8.3 Analysis 2

SnapDRAGON was further tested on a set of 57 non-redundant and randomly

selected protein multiple alignments generated using the iterative sequence database

search tool QUEST (Taylor, 1998). Each of the alignments contains a key sequence

with a known structure in the PDB. The key sequences within the alignments display

mutual pair-wise sequence identities averaging at 19.0% (±3.8%), calculated using

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Hydrophobic collapse and domain formation

the Blosum62 amino acid exchange matrix and gap penalty values of 12 and 1 for

gap initiation and extension, respectively (Heringa, 1999). The data set consists of

12 singular domain proteins and 45 multiple domain proteins, of which 20 structures

comprise at least one discontinuous segment.

Throughout this analysis we use a window size of 5% of the sequence length,

rounded to the nearest higher odd integer. For example, a sequence of 200 amino

acids will have a window length of 1 1 residues. A window size of 5% was found to

consistently give the best results. All secondary structure information was assigned

a stringency value of 0 .8 .

8.3.1 Statistical significance

Model formation by DRAGON is, in part, based on the distribution of conserved

hydrophobic residues in the multiple alignment. By shuffling the columns in the

alignment we can judge to what extent the distribution of hydrophobic residues

will affect domain formation. The models resulting from a shuffled alignment can

be used as a comparison to the models generated from the true alignment. For

each protein SnapDRAGON creates 100 DRAGON test models and 500 control

models to establish a random background for statistical comparison. The control

structures that were generated for each protein are divided into 1 0 0 models for

five different randomised alignments with predicted secondary structure. Using the

above boundary scoring system over the 500 models, the mean positional boundary

score (m) with corresponding standard deviation (a) were calculated. These were

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Hydrophobic collapse and domain formation

then used to convert the positional boundary scores for the 1 0 0 test models into

Z-scores {{x — m )/a ).

Average positional scores were calculated for the sets of test and control models

separately, by sliding a window using the biased averaging protocol to smooth the

added domain boundary assignments from each model. A Z-score cut-off of 2.00,

derived from the control structures, gave the best results with an average number

of boundary predictions, peaks scoring beyond the cut-off, of 3.78. Although this

number is slightly higher than the average number of 2.31 for the real domain

boundaries in our data set, it is similar to the average number of 3.45 boundaries

observed in the 20 proteins comprising discontinuous domains. This is in line with

a general tendency of the DRAGON method to form discontinuous domains with

multiple linkers to other domains.

8.3.2 Defining domain linkers in reference structures

All predictions are compared to the observed boundaries in the reference tertiary

structures associated with the query alignments. The locations of the true bound­

aries in the reference structures are found using the Taylor algorithm, which assigns

domain boundaries indicated by a single residue position only. To determine the

exact linker segment connecting two domains, we branch out in two directions from

the boundary position. Linker assignment will end if a branch hits a secondary

structure comprising three or more residues for a strand or at least four residues for

a helix, where secondary structures are assigned using DSSP (Kabsch and Sander,

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Hydrophobic collapse and domain formation

1983a). A minimum length of 20 residues is assigned to each linker ( ± 1 0 residues

from the boundary position). The average sequence length of the linkers extracted

following the above scenario in our set is 24.51 residues.

8.3.3 Results

Domain content and boundary number prediction

The overall accuracy of domain content prediction for our data set is 77.6%

(±18.7%), which was calculated using the observed number of domains in the

structures associated with each database entry as a reference. Of the 1 2 single

domain proteins, 1 1 were predicted to indeed consist of a single domain, giving

an accuracy of 90.8% (±16.7%). Figure 8.5a represents the error in domain and

boundary number prediction for each alignment, calculated by subtracting the real

number of domains from the average predicted number over 1 0 0 DRAGON models

generated for each test alignment. The error in boundary prediction for each protein

was calculated using the subset of DRAGON models displaying more than one

domain.

The mean number of domain boundaries predicted for each protein is somewhat

overestimated with an average over all proteins of ±0.54 (±1.55). However, actual

domain number prediction is slightly underestimated in our protein set, with an

average of -0.27 (±0.76). This is mainly due to the tendency of the DRAGON

method to form discontinuous domains, which happens particularly if modelling

is carried out for longer alignments. This is a consequence of error in domain

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Hydrophobic collapse and domain formation

6.0

4.0

CD2H 2.0

■5T3£

0.0 o OCL

0 0♦♦ ♦- 2.0

-4 .0400

Chain length8000 200 600

(a)

5.0

4.0

♦♦O 2.0

1.0

0.0 0 200 400Chain length

600 800

(b)

Figure 8.5: a) Average error in domain and boundary number assignment versus chain length of the reference sequence within each alignment. The errors were calculated by subtracting the real number of domains (open circle) or boundaries (diamond) from their predicted numbers, b) Standard deviation of domain (open circle) and boundary (diamond) predictions assignment reference chain length.

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Hydrophobic collapse and domain formation

assignment by the Taylor algorithm, which was trained on real proteins. Domains

formed by DRAGON are often not as compact as natural domains, leading to a

‘single’ domain to be assigned as two domains with many connecting linkers. With

growing chain lengths, the standard deviation of boundary number distribution

increases (Figure 8.5b).

Figure 8 .6 displays the average number of domains and boundaries for the

DRAGON models generated for each alignment. Despite the slight under and

over-predictions, both average domain and boundary numbers correlate well with

the true data. The regression coefficients (slopes in graphs) for both domain and

boundary number from SnapDRAGON are 0.003 and 0.007, respectively, and the

corresponding values in the real structures are 0.004 and 0.007, respectively.

Control method

We compared SnapDRAGON boundary placement against a baseline control

method. The baseline method simply predicts domain positions by dividing the

sequence into equal parts, given the number of boundaries predicted for a protein

by our method and the length of the sequence. For example, a protein predicted

to have two boundaries is split into three equally sized segments. This is an

appropriate method of domain prediction because protein chains tend to segregate

evenly between domains, rather than most of a chain being associated with only one

of the domains (Islam et ai, 1995). Also, in many proteins, domain structures are

repeated within a single polypeptide chain (Heringa, 1994).

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Hydrophobic collapse and domain formation

5.0 r ------

4.0

Q)-QE3CC'03EOQ

3.0

2.0

1.0

o o

200 400 600Chain length

800

(a)

8.0

6.0

0)E3C^ 4.0 CO ■Q C 3 O CÛ

2.0

0.0

♦ ♦o

400 800Chain length

(b)

Figure 8.6: Domain and boundary number assigned versus real distribution, a) Distribu­tion of domain number in the protein test set (diamond) and the average number predicted for each protein (open circle), b) Distribution of boundary number in the protein test set (diamond) and the average number predicted (open circle).

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Hydrophobic collapse and domain formation

Table 8 .2 : Accuracy of linker prediction per proteinContinuous Discontinuous Full set

SnapDRAGON Sensitivity 63.3 43.6 54.8Accuracy 27.2 31.1 28.9

Baseline Sensitivity 38.0 37.5 37.8Accuracy 1 1 .2 28.4 18.6

Average scores for the set of 231 multiple domain proteins. Each score in the top row is the percentage real linkers predicted (Sensitivity). The second row is the percentage of correct predictions made (Accuracy).

Evaluating boundary prediction

Table 8.2 shows the accuracy of our method and that of the baseline method in

predicting domain boundary locations within the 45 multidomain proteins. Here,

a boundary prediction is regarded successful whenever it is positioned within the

stretch of a real linker. Two measures of prediction accuracy are calculated. The first

measure is the percentage of observed linkers in each of the test proteins predicted

by our method (sensitivity), while the second is the percentage of all boundary

predictions that landed within observed linkers (accuracy). Overall, linker prediction

sensitivity is 54.8% with a standard deviation of 38.5%. As the baseline method

scores a prediction sensitivity of 37.8% (±39.4%), the average improvement of our

method is 44.9% relative to the baseline method.

Another way of assessing our method is to compare it with random prediction,

which would have a chance of predicting real linkers directly proportionate to the

fraction total linker region in each of the test proteins. As the fraction of linkers

per protein in our multidomain set is 18.6% (±12.5%), random prediction would

lead to a sensitivity of 18.6% overall, which would mean tha t our method performs

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Hydrophobic collapse and domain formation

194.6% better than random. Nonetheless, a consequence of over-predicting is that

we introduce a number of false positives. Out of all the predictions made, only

28.9% are successful. Note, however, that many methods produce a number of

top predictions for each protein in a reference set, which are then evaluated. For

example, the results stated by Wheelan et al (2000) are based on 10 top predictions

for each protein.

Distance o f predicted boundaries from linker regions

An alternative way to measure the prediction accuracy is to calculate the distance

between a predicted boundary and the nearest true linker region. Figure 8.7a plots

the average distance between a predicted boundary and the closest real linker for

each protein. To facilitate comparison, the distance is calculated by taking the

number of residues separating the prediction from the nearest end of a linker and

normalising this number by the sequence length. There is a correlation of 0.407

between protein length and the average prediction-linker distance.

It can be seen that for six proteins, boundary predictions are on average

separated from their nearest linker by more than 1 0 % of the associated sequence

lengths. However, most of these poor predictions can be attributed to errors in the

assignment of domains in the PDB reference structures, for which the algorithm

of Taylor (1999) was used. Although generally similar, some deviations occur

between our assignments and those of the CATH domain database, where the

latter are inferred using a number of domain-assignment algorithms in combination

with human expertise (Orengo et al, 1997). Specifically, five proteins (IcmnA,

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Hydrophobic collapse and domain formation

ld 2 fA, Idnv, llrv and 31kfA) are each assigned two or more boundaries by the

Taylor method, while these are represented as single domain proteins in the CATH

depository. The remaining enzyme, Galactose oxidase (Igof), in the group of six

outliers, contains a seven bladed beta-propeller structure (Ito et a i, 1991). While

each blade of the propeller could be assigned as a single domain, the definition of

the domains is unclear due to extensive interaction between the blades. When we

therefore removed these six ambiguous proteins from our set, the overall prediction

sensitivity increased from 54.8% to 61.9%, while the average normalised separation

from real linkers was lowered from 5.2% to 3.8%.

OJO

sS 0.20

0.100.10

— I i» ##a '30 40 50

Alignment % identity0.00

800Chain iength

(a) (b)

Figure 8.7: (a) The average normalised distance between predicted boundary and closest real linker per-protein, versus the reference chain length, (b) The average normalised distance between predicted boundary and closest real linker plotted against the average pair-wise sequence identity within each alignment. Pair-wise identity scores were obtained using global pair-wise sequence alignment based on the Blosum62 amino acid exchange matrix and gap penalties of 12 and 1 for gap opening and extending, respectively.

Figure 8.7b shows the average normalised distances between predicted boundaries

and nearest real linkers versus the mean pair-wise sequence identity in each test

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Hydrophobic collapse and domain formation

alignment, ranging from 19% to 57%. Although the data is relatively sparse,

there is no apparent correlation (0 .0 2 ) between prediction success and alignment

divergence. Our method appears insensitive to sequence identity when pinpointing

correct domain boundaries.

Filtering predictions

A filtering method to discard unlikely predictions was used to improve success rate.

For example, predictions made within strand regions can be safely ignored. In

our data set, only 8 .2 % of predicted boundaries are located within a ^-strand, the

majority belonging to just one protein, M-Calpain (IdkvA). For this structure, 14

boundaries are predicted, which can be lowered to just six predictions by excluding

those in strand regions, without losing any of the three true predictions. We also

tested filtering hydrophobic regions as these are not likely to be included in linker

regions. Of 170 predictions made in total over our data set, 28 (16.5%) are located

within hydrophobic regions of the sequences, where a hydrophobic region is declared

whenever at least four residues in a window of five of the types of amino acids, Ala,

Cys, Phe, Gly, He, Leu, Met, Val, Trp and Tyr, are encountered. Since only three

of the 28 hydrophobic regions correspond to real inter-domain linkers, discarding

predictions in hydrophobic regions improves the prediction success over our data

set from 28.9% to 34.5%. At the same time, the average number of boundary

predictions per query alignment is reduced from 3.78 to 3.16, which is closer to the

aforementioned average number of 2.31 for the observed boundaries per protein.

However, as three real linker predictions are lost by filtering hydrophobic regions,

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Hydrophobic collapse and domain formation

applying the filter makes the sensitivity of the method fall slightly below 54.8%,

calculated over the full data set of 57 proteins, or 61.9% observed when six ambiguous

proteins are deleted.

Performance

One run of SnapDRAGON, which produces 600 DRAGON models (i.e. 100 test

and 500 control models), will typically take about two hours for an alignment

with a length less than 200 residues, provided all 128 nodes on our Linux cluster

are free. However, larger sequences will often take several hours because model

generation by DRAGON becomes more computationally intensive. For example,

while constructing 600 models for the alignment corresponding to the shortest

reference structure of 6 6 residues in our data set took only 1 0 minutes on our cluster.

Generating this number of models for the alignment associated with the largest

structure of 699 residues needed nearly 11 hours to complete. Providing general

run-time scaling figures is complicated by the fact that within a SnapDRAGON run

to generate 1 0 0 or 600 models for a given alignment, the variance in computing time

for each of the individual models can be large. Given the large number of models

needed for a single query alignment, it is clear that high-performance computing is

required for running SnapDRAGON.

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8.4 Analysis 3

Because processing time is large for a single prediction by DRAGON, we decided to

remove the random background generated in the last analysis. This allowed a much

larger test set to be studied.

8.4.1 Protein test set

Predictions were assessed using proteins with known 3D structure taken from the

non-redundant set held at the NCBI (Matsuo and Bryant, 1999). Each structure

was assigned its domain content using the Taylor domain assignment algorithm. To

ensure correct domain annotation, assignments were compared to those made in the

SCOP and DALI domain databases (Murzin et ai, 1995; Holm and Sander, 1997).

Only proteins that have assignments corresponding to within ±10 residues between

at least two of the three definitions were used in this study. Since the non-redundant

protein set consists largely of single domain proteins, we randomly selected 15% of

these structures for analysis. Single domain proteins that had sequence lengths

greater than 300 residues were removed from this set, as it is debatable whether

proteins of this size only have one domain. The final data set consisted of 183 singular

domain proteins and 231 multiple domain proteins. Of the latter, 98 structures

comprise at least one discontinuous segment.

A multiple sequence alignment was created for each protein in our set by first

identifying homologues to a protein using the iterative database search tool PSI-

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Hydrophobic collapse and domain formation

BLAST (Altschul et a l, 1997) using a maximum of four iterations. To achieve max­

imum information content from the PSI-BLAST results, we filtered the sequences for

redundancy by using the program OBSTRUCT (Heringa et al., 1992). OBSTRUCT

produces the largest possible subset of protein sequences with pair-wise sequence

identity scores within a particular range. Here we used a range of between 20% and

60% sequence identity. For each sequence set, multiple sequence alignments were

generated using the method PRALINE (Heringa, 1999) with default parameters.

8.4.2 Results

Domain model consistency

The overall accuracy of domain content prediction for our data set is 72.4%

(±17.4%), which was calculated using the observed number of domains in the

structures associated with each database entry as a reference. Of the 183 single

domain proteins, many were predicted to consist of more than a single domain,

giving an accuracy of only 6 6 .6 % (±18.3).

Figure 8 .8 represents the error in domain and boundary number prediction for

each alignment, calculated by subtracting the real number of domains from the

average number assigned to the 100 DRAGON models generated for each test align­

ment. The mean number of domain boundaries assigned to each protein is somewhat

overestimated with an average for all the proteins of ±0.66 (±1.33). However, actual

domain number prediction is only slightly overestimated in our protein set, with an

average of ±0.22 (±0.72). This is mainly due to the aforementioned tendency of

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Hydrophobic collapse and domain formation

the SnapDRAGON method to assign discontinuous domains. Again, with growing

chain lengths the standard deviation of boundary nnimber distribution increases.

I '

i:I:

-60

l:g 2

■ 1 ■ 1 ■ 1 16

1 1 1 1 ' 1 '

-‘V *• •

ri;!:

: 4 # # ' ' : .

1 . 1 . 1 . -6-200 400

Chain Length

(a)

600 800 200 400 Chain Length

(b)

600 800

• • •

200 400 600Chain length

800

6

i:*og 2

1

0, 200 400 600 8000

(c)

Chain length

(d)

Figure 8 .8 : Error in domain (a) and boundary (b) number prediction versus the sequence length of the reference sequence within each alignment. The errors were calculated by subtracting the real number of domains or boundaries from their predicted numbers. Standard deviation of domain (c) and boundary (d) predictions against reference chain length.

Figure 8.9 displays the average number of domains and boundaries for the

DRAGON models generated for each alignment. Despite the above slight over­

predictions, both average domain and boundary numbers correlate well with the

true data. The regression coefficients (slopes in figures) for both average domain

202

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Hydrophobic collapse and domain formation

X)E3C

‘c3E

Û

E333

T 3C3O

OQ

8

6

4o o

2

0,0 200 400 600 800Chain Length

(a)

8

6

4 Og,

2

0, 200 400 600 800Chain Length

(b)

Figure 8.9: (a) The average number of domains predicted for each alignment (open circles) and true number (filled circles) plotted against the reference chain length, (b) The average number of boundaries predicted for each alignment (open circles) and the true number (filled circles) plotted against the reference chain length.

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Hydrophobic collapse and domain formation

and average boundary numbers assigned to the DRAGON models are 0.004 and

0.016, respectively, and the corresponding values in the real structures are 0.004

and 0.007, respectively. Although SnapDRAGON boundary numbers increase more

rapidly with larger chain lengths than those in the real structures, both distributions

have regression coefficients of 0.01 for proteins with lengths smaller than 400 residues.

Statistical signiûcance

Average positional scores were calculated using the biased sliding window protocol

to smooth the accumulated domain boundary assignments from each of the 100

models. A random background is not used in this analysis. Instead the domain

boundary distribution is normalised to a zero mean and unit standard deviation. A

Z-score cut-off of 2.00 was again used. This led to an average number of boundary

predictions per protein of 2.10. Again, this number is slightly higher than the average

number of 1.97 for the real domain boundaries in our data set. Smoothing of the

boundary assignments made by DRAGON reduces the average over-prediction from

-1-0.66 (±1.33) to +0.13 (±1.23) for each protein.

Control method II

An improved baseline method was used to compare SnapDRAGON predictions.

The baseline method first predicts the number of domains based on a distribution of

known domain sizes and simply predicts domain positions by dividing the sequence

into equal parts. For example, a protein predicted to have three domains is split into

three equally sized segments. The size distribution was constructed from a set of

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Hydrophobic collapse and domain formation

2,750 domains delineated using the domain cutting method of Taylor (1999) from the

non-redundant protein set at the NCBI (Matsuo and Bryant, 1999), The distribution

had a mean average length of 149 and the most frequent lengths are at 97 residues.

Another way of assessing our method is to compare it with a random prediction,

which would have a chance of predicting real linkers directly proportionate to the

fraction of total linker region in each of the test proteins. As the fraction of linkers

per protein in our multiple domain set is 16.8% (±7.8), random prediction would

lead to 16.8% accuracy overall.

Evaluating boundary prediction

All predictions were compared to the linker positions as found using the method

described in the previous analysis. The average sequence length of the linkers

extracted from the set is 23.3 residues. Table 8.3 shows the accuracy of our method

and that of the baseline method in predicting domain boundary locations within the

231 multiple domain proteins. Overall, linker prediction sensitivity is 42.3%. As the

baseline method scores a prediction sensitivity of 30.3%, the average improvement of

our method is 39.6% relative to the baseline method and performs over 150% better

than random. Nonetheless, a consequence of over predicting is that we introduce a

number of false positives. Out of all the predictions made, only 39.8% are successful.

Domain prediction methods have previously used a window of ±20 residues

to assess prediction accuracy (Wheelan et al, 2000; Kuroda et al, 2000), at this

resolution SnapDRAGON scores 60.7% and the baseline method scores 46.0%.

Table 8.4 shows the accuracy of linker prediction per protein. An average of 51.8% (±

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Hydrophobic collapse and domain formation

Table 8.3: Accuracy of linker predictionContinuous Discontinuous Full set

SnapDRAGON Sensitivity 55.2% 33.0% 42.3%Accuracy 39.1% 40.7% 39.8%

Baseline Sensitivity 41.7% 22.3% 30.3%Accuracy 25.9% 21.2% 23.6%

Average scores for the set of 231 multiple domain proteins. Each score in the top row is the percentage real linkers predicted (Sensitivity). The second row is the percentage of correct predictions made (Accuracy).

Table 8.4: Accuracy of linker prediction per proteinContinuous Discontinuous Full set

SnapDRAGON Sensitivity Accuracy

63.9% (±43.0) 46.8% (±36.4)

35.4% (±25.0) 44.4% (±33.9)

51.8% (±39.1) 45.8% (±35.4)

Baseline Sensitivity Accuracy

45.3% (±46.9) 37.1% (±42.0)

22.7% (±27.3) 23.1% (±29.6)

35.7% (±41.3) 31.2% (±37.9)

Average scores for the set of 231 multiple domain proteins. Each score in the top row is the percentage real linkers predicted (Sensitivity). The second row is the percentage of correct predictions made (Accuracy).

39.1%) and 35.7% (± 41.3%) of linkers are found per protein by the SnapDRAGON

and baseline methods, respectively.

Figure 8.10 shows the accuracy of linker prediction per protein as a function

of sequence length. The performance of both methods falls with increasing chain

lengths. Interestingly, the performance of the baseline method sharply increases at

about 300 residues. This is caused by the length distribution of proteins within the

discontinuous set, these proteins have a normal distribution of chain lengths with

a mean at 348 residues (d=123 residues) coinciding with the increase in prediction

accuracy. Prediction accuracy rises with increasing sequence lengths within the

discontinuous set with a regression coefficient of +0.02 and a correlation of 0.10 for

both SnapDRAGON and baseline methods. The chance of successfully predicting

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Hydrophobic collapse and domain formation

a linker in this set is increased because the sequential separation of linkers is much

smaller than in the continuous set.

100

Uc

40

20

800200 400Chain length

600

Figure 8.10: Sensitivity versus reference chain length. Running averages are calculated us­ing a window of 41 residues. The continuous line represents the success of SnapDRAGON. The open circles represent the baseline method and dots represent a random prediction.

Distance o f predicted boundaries from linker regions

Linkers are predicted with an average sequential distance of 7% to the nearest linker

end. Again, prediction success is independent from sequence identity (ranging from

28.4% to 71.1%) with a correlation of -0.02.

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Hydrophobic collapse and domain formation

8,5 Discussion

8.5.1 Model variation

The SnapDRAGON technique requires the generation of 100 test models. Most if

not all of these models are likely to contain structurally incorrect regions and will

vary greatly in structure between models. For example, building 100 models for a

multiple alignment associated with a protein of about 150 residues in length can

lead to an average root mean square deviation (RMSD) of over 10Â, when measured

after all-against-all structural super-positioning (Taylor and Orengo, 1989a). It

is commonly accepted that with RMSD values of more than 6Â, any structural

relationship between a pair of structures can no longer be inferred. However, the

variation between the models gives us a means to evaluate hydrophobic packing at

the course-grained level of domain folding. Although the main-chain trace through

the protein core can be dramatically different in each of the models, the consistency

in packing ensembles of hydrophobic residues provides a discernible signal for domain

boundary placement.

8.5.2 Modelling the hydrophobic collapse

In our domain prediction approach, we assume that protein folding is a result of chain

collapse driven by the hydrophobic effect, effected in our tertiary model building

efforts by preferentially bringing residues together in space that show conserved

hydrophobicity in the associated query alignment. Model building is also based

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Hydrophobic collapse and domain formation

on predicted secondary structure elements, which lower the degrees of freedom

of our folding method in packing hydrophobic residues. The consistency of the

models to pack hydrophobic residues into multiple cores provides insight into domain

formation.

8.5.3 Domain size and folding

It might be argued that the DRAGON method should ideally be used to generate

structures for a single domain. However, when faced with larger protein sequences,

DRAGON becomes unable to form a single hydrophobic core and hence is forced

to split the protein into several domains. Such a phenomenon is also observed in

nature, where domain length follows a narrow distribution with an average of about

100 residues (Jones et a i, 1998). To account for domain formation in proteins,

Dill (1985) developed a lattice model and predicted an optimal chain length for

maximal protein stability. If a polypeptide chain is short, less than 70 residues,

the protein has little interior volume to form enough favourable contacts between

hydrophobic residues. On the other hand, a long polypeptide would be forced to bury

many unfavourable hydrophilic residues into the interior, given a particular ratio of

hydrophobic and hydrophilic residues. Long stretches of hydrophobic residues, which

would enable large hydrophobic cores, are rarely observed in sequences of soluble

proteins. For example, hydrophobic sequence stretches within the globular proteins

in the GATH domain database rarely go beyond a length of 10 amino acids (see

Chapter 4). Consequently there are no observed protein structures of more than

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Hydrophobic collapse and domain formation

250 residues that contain a large single hydrophobic core (Garel, 1992). Domain

formation appears to be the optimal solution for a protein to bury its hydrophobic

residues whilst keeping hydrophilic residues at the surface.

8.5.4 Future work

To improve on the results described here would require direct modification of the

DRAGON method. If a domain assignment algorithm was inbuilt into DRAGON,

then model building could be actively encouraged to form multidomain cores

were initial domain formation is observed. Rather than using the Taylor domain

assignment algorithm, the DETECTIVE method (Swindells, 1995) would be more

suitable because it assigns domains by locating its hydrophobic core. The new

DRAGON method could also build domain interfaces, based on statistical data

(Section 4.1).

Many sources of additional information can readily be specified and used by

DRAGON, such as specific distance restraints (lower and upper bounds) or predicted

residue SA values (Aszodi et al, 1997). This makes it relatively easy to encode

domain barriers such as transmembrane segments or repeat boundaries, thus driving

DRAGON to pack the segments flanking these barriers into separate domains.

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Part IV

Case study and conclusions

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Chapter 9

Identification of domains in F v l

9.1 Retroviruses

Retroviruses have genomes of single stranded RNA that are replicated through a

double stranded DNA intermediate by reverse transcription. A retroviral genome

contains gag, pol and env genes that are translated into polyproteins and cleaved

into smaller functional proteins.

• Gag polyprotein is cleaved by a protease into three separate parts, the matrix

(MA), capsid (CA) and nucleocapsid (NO) proteins.

• Gag-pol polyprotein is translated from the gag-pol genes. It is cleaved into

reverse transcriptase (RT) and integrase (IN).

• Env codes for the envelope precursor polyprotein, which is translated from

spliced subgenomic mRNA and then cleaved into a transmembrane portion

(TM) and a surface protein (SU).

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Mentiûcation o f domains in Fvl

9.1.1 Retroviral life cycle

The prime objective of retroviruses is to replicate into many new virus particles,

irrespective of the consequence to its host.

Cell penetration: A virion SU will bind to specific proteins on the host cell surface

followed by fusion with the cell membrane. In HIV-1 fusion is triggered by one of

several chemokine receptors and mediated through the TM fusion domain. The viral

protein coat is removed by proteolytic enzymes. This releases the viral genome and

proteins into the cytoplasm of the newly infected cell.

Integration into host DNA: RT is responsible for synthesising a double stranded

DNA copy of the viral RNA in the cytoplasm. Once synthesised the viral DNA is

transported to the nucleus as part of a pre-integration complex (PIC) that includes

IN, MA, RT and CA (CA is not seen to play a part in HIV-1 genome integration)

(Miller et a l, 1997; Bowerman et al, 1989). PICs derived from many retroviruses

are unable to enter the intact nuclei. Instead, the PIC waits for the breakdown in the

nuclear envelope that occurs during mitosis to enter the nucleus. As a result these

viruses are unable to replicate in non-dividing cells. In contrast, HIV-1 is able to

productively infect non-dividing cells by entering the intact nuclei (Weinberg et al,

1991). IN inserts the viral DNA into the host chromosomal DNA, establishing the

provirus. The provirus is a permanent genetic element in the cell, and in all of that

cells progeny.

Transcription and translation: Transcription is by host RNA polymerase II to

produce mRNA for translation and genomes for packaging into virions. Some mRNA

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lldentiûcation o f domains in F vl

is spliced to produce sub-genomic mRNA coding for env and possibly regulatory

proteins in some viruses.

Assembly: The translated gag precursor protein interacts with the viral genome

through NC, a phosphorylated basic protein containing a zinc finger motif. Gag lines

the host inner-cell membrane through myristoylated MA to allow virus assembly and

interacts with other gag proteins through CA to form the core shell of the virus.

Only the MA and CA proteins are essential for virion assembly. HIV-1 and SIV MA

proteins crystallise as trimers and are thought to serve as a fundamental building

block for the formation of a MA shell within the mature virion (Turner and Summers,

1999). MA proteins have a large basic surface that is thought to interact with the

acidic inner membrane of the virus. After the release from the infected cell of new

virions, the polyproteins are cleaved into their respective elements.

9.2 Friend virus susceptibility 1

A number of genes that affect the susceptibility of mice to infection by retroviruses

have been described. One of the most interesting of these genes is Friend virus

susceptibility 1 (Fvl), which restricts the replication of Murine Leukemia Virus

(MLV) during its infection. There are two major alleles of Fvl; F v l” and Fvl^. Both

alleles act on MLVs at a point after viral entry into the cell and reverse transcription

of viral RNA genome, but before entry into the nucleus and the host genome. F v l"

is able to block replication of B-tropic viruses while allowing replication in N-tropic

viruses and Fvl^ has the reverse effect. F v l" differs from Fvl^ by several point

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Identiûcation o f domains in F vl

mutations and a different C-terminal sequence.

The mechanism by which Fvl is responsible for resistance is still undetermined.

Genetic studies have shown that the target for Fvl restriction is the MLV CA protein

(Hopkins et al., 1977; Rommelaere et al, 1979). The amino acid at residue 110 in

CA appears to be the most important residue for N- and B-tropism (Kozak and

Chakraborti, 1996). N-tropic MLVs have Arg at this position and B-tropism MLVs

have Glu. F vl is codominant because cells from heterozygous F v l”/ ̂ animals are

not infected by either N- or B-tropic viruses (Pincus et a l, 1971). F vl restriction is

not absolute but results in a 50 to 1,000 fold reduction in virus replication (Hartley

et al, 1970).

W hat is fascinating about Fvl is that it is homologous to the gag region of

families of human and murine endogenous retroviruses called ERV-L (Benit et a l,

1997; Best et a l, 1996). An endogene is a retroviral sequence that is integrated in

the germ-line of a hosts genome. Some endogenes are ancient and present in all

species. The mouse has retained a retroviral gene as a helpful element during its

evolution. Gag proteins are known to bind tightly to each other at the MA and CA

domains, the simplest model for Fvl action is that it can bind to the gag proteins

involved in incoming PICs and block its normal movement into the nucleus for DNA

integration, or its function once there (Goff, 1996). Here we examine the domain

content of F vl using the methods described in earlier chapters and discuss what

consequence the findings have on Fvl action.

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Identification o f domains in Fvl

9.2.1 Results

F vl has few homologues, therefore common sequence domains would not be identifi­

able using the DOMAINATION program (Chapter 6). Instead, the SnapDRAGON

(Chapter 8) and SCOOBYJDO (Chapter 7) methods are employed.

An alignment was generated between the two Fvl proteins and the murine ERV-

L homologue using PRALINE (Heringa, 1999) with default parameters (Figure 9.1).

Analysis by SnapDRAGON on this alignment produced models with three domains

with high scoring boundary positions at residues 97 and 266. Based on the most

significant of the two boundaries, the alignment was split in two halves at residue

266 and separate predictions were performed on each. This identified two further

boundary positions at residues 161 and 365.

The SCOOBY_DO program was used to identify foldable regions in F v l” , ERV-

L, MLV gag and HIV-1 gag (Figure 9.2). The program predicted four regions in

Fvl" that could fold into domains at residue positions 35-108, 109-219, 262-340 and

341-440. Examining the output from SGOOBY_DO shows a much larger proportion

of ‘foldable’ protein in the exogenous gag polyproteins compared to the endogenes. A

large unstructured linker is present in Fv l" from residue 220 to 261. The predictions

made by SCOOBYJDO generally agree to those made by SnapDRAGON.

Recently, Tobaly-Tapiero et al. (2001) identified a coiled-coil motif at the N-

terminal region of Human Foamy Virus gag polyprotein and found it to be an

important interaction domain between gag proteins. Using the COILS method

(Lupas et al, 1991), we identified this same motif in F v l, ERV-L, MLV gag and

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identification o f domains in Fvl

fvln MNFPRALAGF SSWLFKP... ELAEDSPDND SP..DNDTVN PWRELLQKINfvlb MNFPRALAGF SSWLFKP... ELAEDSPDND SP..DNDTVN PWRELLQKINmuERV-L MN___LLKY WNWLVDPPAL STIETSPDSL PPGSSENFED PWLKLYSELK

fvln VADLPDSSFS SGKELNDSVY HTFEHFCKIR DYDAVGELLL AFLDKVTKERfvlb VADLPDSSFS SGKELNDSVY HTFEHFCKIR DYDAVGELLL AFLDKVTKERmuERV-L EAN..DLDFL N..ELGDSVH KAFYKMGKKS ENDFTGWLLL VSVEKMMNER

fvln DQFRDEISQL RMHINDLKAS KCVLGETLLS YRHRIEVGEK QTEALIVRLAfvlb DQFRDEISQL RMHINDLKAS KCVLGETLLS YRHRIEVGEK QTEALIVRLAmiiERV-L KELCDKIERL QTQVNDLKYA KCVLEENLLS CSNRAQVAEN QTETLIVRLA

fvln DVQSQVMCQP ARKVSADKVR ALIGKEWDPV TWDGDVWED. .......IDfvlb DVQSQVMCQP ARKVSADKVR ALIGKEWDPV TWDGDVWED. .......IDmiiERV-L ELQRKFKSQP .QSVSTVKVR ALIGKEWDPT TWDGDVWEDH VEAENFESSD

fvln SEG...SEEA ..ELPTVLAS PSLSEESGYA LSKERTQQDK ADAPQIQSSTfvlb SEG...SEEA ..ELPTVLAS PSLSEESGYA LSKERTQQDK ADAPQIQSSTmuERV-L SQGFAPPEEV VPSAPPLEIM PSPHEEINFA ESDKPAMTFT TDVSQ...GP

fvln SLVTSEPVTR PKS___LSD LTSQKH...R HTNHELNSLA HSNRQKAKEHfvlb SLVTSEPVTR PKS___LSD LTSQKH...R HTNHELNSLA HSNRQKAKEHmuERV-L PIVSSRPVTR LKAKQAPRGE VESVVHEEIR YTTKELNEFA NSFKQKPGEY

fvln ARKWILRVWD NGGRLTILDQ lEFLSLGPLS LDSEFNVIAR TVEDNGVKSLfvlb ARKWILRVWD NGGRLTILDQ lEFLSLGPLS LDSEFNVIAR TVEDNGVKSLmuERV-L VWEWILRVWD KGGRNIKLEQ AEFIDMGPLS RDSRFNTEAR IVK.KGVKSL

fvln FDWLAEAWVQ RWPTTRELQS PDTLEWYSIE DGIKRLRELG MIEWL.CVKAfvlb FDWLAEAWVQ RWPTTRELQS PDTLEWYSIE DGIERLRELG MIEWL.CVKAmuERV-L FEWLAEVFIK RWPTGNDLEM PD.IPWLSVD EGILRLREIA MLEWIYCVKH

fvln TCPQWRGPED VPITRAMRIT FVRETVETWK SFVFSLLCIK DITVGSVAAQfvlb TCPQWRGPED VPITRAMRIT FVRETRETWK SFVFSLLCIK DITVGSVAAQmuERV-L NCPQWEGPED MPFTSSIRRK LVRGAPAHLK GFVLSLFLVP DLSIGDASAQ

fvln LHDLIELSL. ....KPTAA ..TKL....fvlb LHDLIELSL. ....KPTAA GLTSVGSVG. VLSLSPWKHQ ......SNSmuERV-L LDELNSLGLV GFRGNKGQVA ALNHRRQGDS SYYNGQRRQK NVYNNIPSNG

Figure 9.1: Fvl alignment, generated using PRALINE (Heringa, 1999) with default parameters, murine ERV-L (muERV-L) sequence is truncated by 95 residues.

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Identification o f domains in F vl

'0 50 100 150 200 250 300 350 400R esid u e position

(a) Fvl

S) 300

200

100 200 300 400R esidu e position

(b) ERV-L

500

•ô 300

C 200

100 200 300 400R esid u e position

(c) MLV

•55 300

Ç 200

100 200 300 400R esidue position

(d) HIV-1

Figure 9.2: SCOOBYJDO plots for Fvl, ERV-L, MLV gag and HIV-1 gag. Red areas of a plot represent centres of foldable domains.

HIV-1 gag, ail at approximately the same region (from residues 90 to 115). The motif

actually corresponds to the long helix at the C-terminal of MA in HIV-1 (PDB code

Ihiw). Therefore, we can use the motif as a delimiter of the MA protein. In Fvl this

corresponds to residue position 119. Therefore, the MA domain has the boundaries

35-119 in Fvl.

The major homology region (MHR) is a motif that is highly conserved in all

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[(dentification o f domains in Fvl

retroviral CA proteins, except the spumaviriises. It forms an intricate network of

hydrogen bonds in the first residues of the C-terniïnal domain (Figure 9.3). The

MHR motif is present in the Fvl region and corresponds to the start of the third

identified domain. The zinc finger motif is not present at the C-terminal end and

therefore the NC region is missing.

Figure 9.3: Backbone structure of gag CA protein from anemia virus (PDB code leia (Jin et al., 1999)). The structure of the MHR motif is highlighted by the cartoon representation.

A random walk was used to represent the Fvl", ERV-L, MLV gag and HIV-1

gag proteins (Figure 9.4). Each walk was positioned in the figure so that the MHR

regions were aligned. The position that would correspond to the CA N-terminal

domain in HIV-1 is observed to have been replaced by a long stretch of hydrophilic

residues in Fvl. The region that is positioned between the MA domain and the long

linker region must correspond to the CA N-terminal domain. This region is about 80

residues long, which is smaller than the structurally characterised CA domains from

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Identification o f domains in Fvl

MLVHIV-1ERV-LFvln

-20

-40. 100 200 300Residues

400 500 600

Figure 9.4: Random walk for viral gag proteins. A walker moves up one step for hydrophobic residues and down one step for hydrophilic residues. The walks have been positioned so the conserved MHR motif are aligned. The MHR begins at position 318. The HIV MA domain lies at position 28-148. The HIV CA N-terminal domain is positioned at 160-300 and the C-terminal domain ends at 387.

other gag polyproteins (-150 residues) and even smaller if we account for a linker

region between MA and CA. If this region does correspond to the CA N-terminal

domain, it is possible that it will no longer structurally resemble or function as a

viral CA domain.

The uncharacterised domain, constituting the last 100 residues of Fvl, has

a similar walk pattern to the corresponding regions in both ERV-L and HIV-1,

suggesting a similar structure. Apart from the deviations observed at the CA N-

terminal domain, all three proteins generally follow the same path in the random

walk. The MLV walk is not comparable to any of the others.

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Identification o f domains in F vl

9.3 Discussion

Fvl consists of an MA domain at residues 35-119 possibly followed by a small CA

N-terminal domain at position 120-200. The CA C-terminal domain is at residues

262-340 and is followed by an uncharacterised domain at residues 341-440.

This study is in agreement with the work of Bishop et al. (2001) who prepared a

series of deletion Fvl mutants to assess its ability to restrict viral replication. They

found that sequence regions at the N- and C-terminus are important for function, but

a large central region, residues 123 to 250, are dispensable. This region corresponds

to the CA N-terminal domain and linker region. Bishop et at. (2001) also found

the MHR motif to be essential for function and the C-terminal end of Fvl to be

responsible for viral specificity.

The unusual position of the CA N-terminal domain in Fvl and the observation

that it is not required in Fvl function are important observations that lead to clues

about the general mechanism of Fvl viral restriction. There are two possible reasons

for the redundancy of CA N-terminal domain in Fvl:

• The domain is not required in the restrictive mechanism of Fvl and has

subsequently been partially replaced by a long unstructured linker.

• The viral CA N-terminal domain is required in MLV infection and binding of

F v l with a non-functioning CA N-terminal domain restricts viral integration.

Mutations and deletions in the CA C-terminal domain have been found to impair

or abolish viral assembly, whereas mutations in the N-terminal core domain often

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Identiûcation o f domains in F vl

give rise to viruses that can assemble and bud, but are non-infectious and typically do

not form a normal capsid (see Turner and Summers (1999) and references therein).

This suggests that the N-terminal CA domain is not only involved in capsid cissembly

but other mechanisms important in viral replication. It is known that viral CA and

MA proteins are required during integration of viral DNA into the host genome by

forming the large PIC complex (Bowerman et ai, 1989) and it is at this stage during

the retroviral life cycle that Fvl somehow intervenes (Best et al, 1996). The NC

region, missing in Fvl, is not involved in PIC formation, except in HIV-1 where a

second zinc finger is involved (Tanchou et al, 1998).

Because the C-terminal domain of CA forms a homodimer (Gamble et a l, 1997),

it is likely that the Fvl C-terminal domain will bind to the viral CA C-terminal

domain acting as a decoy and preventing other viral CA proteins from binding. It

was recently found that F vl and a non-restrictive Fvl mutant compete for binding to

viral gag (Bock et a l, 2000). Little is known about the factors controlling expression

of endogenous retroviruses. But because the MLV PIC waits in the cytoplasm for

the breakdown in the nuclear envelope, which occurs during mitosis, there is time for

small viral particles to be transported into the nucleus and initiate Fvl expression.

The F vl protein product will bind to the viral CA protein through interaction of

the C-terminal domains in competition with the viral proteins.

MA proteins are known to bind to IN of HIV-1 and also have signalling properties,

to direct transport to the nucleus (Whittaker and Helenius, 1998). It is possible that

Fvl MA lacks its signalling properties or transports the virus particles to a place

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Identification o f domains in F vl

other than the nucleus. The action of Fvl is still an open question, but now that

the domains are assigned, new experimental opportunities can be explored.

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Chapter 10

Conclusion

Identification of the exact position of domain boundaries within a protein is an

im portant first step in many areas of molecular biology. Several studies have

highlighted the difficulty in identifying domain boundaries in sequence, showing

that incorrect assignment can lead to completely unfolded peptides (e.g. Castiglone

et al. (1995)).

This thesis has described several new methods to predict domains and their

boundaries in protein sequence. Although not 100%, they are the first methods

to predict boundaries with reasonable success. Based on these observations, many

further improvements can now be made.

The DOMAINATION method utilises PSI-BLAST (Altschul et nZ., 1997) to

identify homologues to a query sequence and delineates domains from the N- and

C-terminus of locally aligned sequence fragments (Chapter 6). Using the excised

domains in further database searches greatly improves on the performance of PSI-

BLAST. Also, the ability to join fragments that flank an identified domain, thereby

recognising discontinuous domains, is an advantage of DOMAINATION and sets

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Conclusion

it aside from other domain delineation methods. Approximately 42% of the linker

predictions made by DOMAINATION were correct to within ±20 residues of a true

boundary. Clearly, the simple domain cutting protocol in DOMAINATION can be

improved. This may come from creating an initial accurate multiple alignment of

PSI-BLAST hits to the query sequence before the domain identification step. But

if fast database searching is important, e.g in a planned web server at the National

Institute for Medical Research, then this step may not be practical. Incorporation of

SCOOBYJDO into the domain cutting protocol of DOMAINATION could improve

the joining of discontinuous domain segments.

The SCOOBY_DO method (Chapter 7) is able to identify ‘foldable’ regions in

proteins based on the average hydrophobicity and length distribution observed in

protein domains of known 3D structure. It is extremely fast, making predictions in

seconds. SCOOBY_DO accurately predicts domain organisation and linker position

for 66% of sequences under 400 residues within a choice of ten predictions. One

improvement would be the incorporation of a more sophisticated domain delineation

procedure, such as a dynamic programming algorithm, which would find the highest

scoring combination of possible domains in a query sequence. A major drawback

of SCOOBY_DO is tha t its smoothing window is often not sensitive enough to

accurately identify the linker regions. This is an inherent problem with the window

approach and it is unlikely that SCOOBYJDO would be successful at accurate

domain boundary placement unless there are large linker regions between domains.

SCOOBYJDO was successfully applied in the analysis of Fvl retroviral restriction

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Conclusion

protein, the domains of which are connected by large unstructured linkers.

The method INDIGO exploits SCOOBYJDO as a post-processor, where it serves

by assessing the Toldability’ of a predicted domain. INDIGO uses knowledge of the

length and composition of inter-domain linkers applied in a HMM and makes final

domain boundary placement using decisions by SCOOBYJDO. INDIGO finds 95%

of linkers when taking the best of 10 predictions per protein and an error margin

of ±20 residues. Because the method requires a number of predictions, we do not

regard this as a high level of accuracy, but we believe improvements will be achieved

using a better understanding of inter-domain linker type. Chapter 5 identified two

classes of linkers, non-helical and helical. Predictions based on these classes should

improve INDIGOs performance.

The SnapDRAGON method is based on sampling ab initio 3D models that are

built using information from multiple alignments and secondary structure prediction.

SnapDRAGON is able to predict successfully the domain content of a protein and

can also position domain boundaries with reasonable success; approximately 55% of

linkers are detected in proteins with continuous domains. To improve this method

the DRAGON code itself requires alteration to allow an active search for multiple

hydrophobic cores followed by individual domain model building. We have decided

not to embark on changing the DRAGON method within this current PhD project,

but it would certainly be a worthwhile effort.

Many test data sets were used throughout this study. In hindsight, it would have

been more productive to construct a single data set at the beginning of these studies.

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Conclusion

against which all predictive tools could be tested and compared. The CATH domain

database is a likely choice: it uses several algorithmes to identify structural domains

and where there is disagreement the curators mamually assign domain boundaries

(Orengo et al, 1997). Also, it may have been beneficial to use a number of databases

to test and compare each method, because using a single database for benchmarking

may lead to ‘over-training’.

10.1 Protein folding and domain formation

The protein folding problem has challenged experimentalists and theorists for the

last thirty years. Not only is it a fascinating puzzle but also its solution holds

great practical importance in this era of genome sequencing. Accurate prediction

of protein tertiary structure is an important tool to understand structure-function

relationships and to provide an understanding of molecular assembly (Jones, 2000).

Generally, proteins fold by the clustering of hydrophobic residues into the core of

the protein (Kauzmann, 1959). The optimal embedding of hydrophobic residues

and the surface exposure of hydrophilic residues plays a major role in domain

formation of large proteins. This knowledge was implemented effectively in both

the SnapDRAGON and SCOOBY_DO methods.

Inter-domain linkers could also play an important role in the folding of mul­

tidomain proteins, a-helical linkers are thought to act as rigid spacers to prevent

non-native interactions between domains that may interfere with correct domain

folding (Chapter 5). Non-helical linkers have a large proportion of proline residues,

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Conclusion

which do not have an amide hydrogen to donate in hydrogen bonding and therefore,

structurally isolate the linker from the domains. Prolines tend to slow protein

folding by forming cis-Pro isomers, causing a complete reverse in the direction of

the polypeptide chain (Brandts et a/., 1975). The residues that immediately precede

prolines in linkers are those that will reduce the chance of cis-Pro isomer formation

and therefore keep the domains apart.

Another aspect of protein folding that may explain independent domain for­

mation is folding rate. Domains can fold at very different rates and this might be

sufficient to isolate neighbouring domains during folding. For example, a fast folding

domain will fold without interruption before a second slow folding domain completes

its folding. Also, domains that may have once existed individually would have an

established mechanism of folding and would therefore not interfere with the folding

mechanisms of other domains. Folding rates of single domain proteins correlate well

with the average sequence separation between residues that make contact in the

3D structure (Plaxco et a l, 1998). Proteins with a large fraction of their contacts

between residues close in sequence tend to fold faster than proteins with a large

fraction of more non-local contacts. If it were possible to predict contact order and

therefore folding rate in a protein sequence, it might be possible to predict folding

mechanisms and domains.

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Conclusion

10.2 Domain deûnition

Many methods of structural domain assignment will differ in their overall definition

of a structural domain. In SCOP, a compact structural domain is only assigned if it

is known to exist as an individual unit (Murzin et a l, 1995), but many proteins in

SCOP could be broken down further into more compact domains. Domains can be

regarded as both compact structural units and units of sequence homology. Although

both are acceptable definitions, neither can be precise in their exact domain limits.

The boundaries of a domain characterised by analogy can vary from sequence to

sequence and are not clear without structural information. Even when structural

information is available, recognising domain boundaries is problematic. For example,

if domains are assigned on the basis of compactness, what level of compactness

should be used? These levels are often arbitrary and can vary widely. Also, if a

domain is defined as containing a single hydrophobic core, then how do we treat a

large protein that doesn’t have a hydrophobic core?

The a /p-ha iie i domain is an example of a domain structure that causes diffi­

culties for many automatic domain annotation methods. Firstly, it doesn’t have a

hydrophobic core, as the hydrophobic residues pack between the a-helices and P-

strands. Secondly, it has a repeated P-a-^ motif, where each motif could be defined

as an individual domain since it encompasses a hydrophobic core and probably folds

independently from the rest of the structure.

If a domain is an independent folding unit, as first described by Wetlaufer

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Conclusion

(1973), then many structural domain definitions will be incorrect. This is mainly

because there are many levels of structural independence. A domain might well fold

independently, but so could smaller units within the domain. For instance, a domain

should not be confused with an ‘autonomous folding unit’, which are often much

smaller units corresponding to a few secondary structures of the polypeptide. They

are often formed in the initial stages of protein folding and regarded as ‘nucléation

sites’ in protein folding (Fersht, 1997).

In conclusion, domain boundary prediction can never be fully successful because

there are no distinct goals. Domain boundary positions are not clear cut and neither

will be their prediction. But this is a problem for benchmarking predictive methods,

it is possible that the only way to test successfully a domain prediction would

be to assess if the delineated domains could fold into their native structure using

experimental techniques.

10.3 Integrated methods for domain prediction

Various sources of external information could be used to enhance the domain

recognition process. For example, when dealing with very large protein sequences, it

might be beneficial to include information from a combination of methods including

transmembrane and coiled coil prediction (Rost et al, 1996; Lupas, 1997). Many

domains in protein structures correspond to internal sequence repeats, which vary

dramatically in divergence (Heringa, 1998), but can be delineated using accurate

prediction tools (Andrade et ai, 2000; George and Heringa, 2000). Incorporating

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Conclusion

such filtering into the methods described here is likely to enhance the accuracy of

domain boundary prediction from sequence.

Many elements of the domain prediction methods described here could be

integrated into a common interface. SCOOBY_DO can be used as a filter for

DRAGON models generated in the SnapDRAGON method and domain assignments

made by DOMAINATION. DOMAINATION could be used to generate alignments

for SnapDRAGON and in turn, SnapDRAGON could improve on the domain

assignments made by DOMAINATION and therefore, improve DOMAINATIONs

sequence search performance. Both the INDIGO and DOMAINATION methods

may find homologues to a query with known structure, this could then be used

to build higher quality multiple alignments, improving boundary prediction by

SnapDRAGON. A web based approach could combine all these methods in a single

package.

10.4 Future perspectives

10.4.1 Genome analysis

Comparisons of the protein content encoded within a genome between many organ­

isms will be a powerful tool for identifying the components of functional systems and

reconstructing their evolution. Methods to identify domains will play a major role

in this analysis. In particular DOMAINATION, together with the other methods,

can be used to find homologous domains between proteins and suggest evolutionary

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Conclusion

pathways from the loss and gain of domains.

Over the last few years many protein domain databases and tools to recognise

and delineate sequence domains have been constructed. However, there is still

considerable inconsistency between the annotations. Efforts to streamline the data,

such as initiated by the InterPro consortium (Apweiler et aL, 2000), should lead to

increased quality of the data. This will aid the consistency of domain annotation,

which in turn is crucial for further development and training of domain prediction

tools.

10.4.2 Bioinformatics in the post-genome era

After the pioneers of molecular sequence analysis some thirty years ago (Fitch and

Margoliash, 1967; Needleman and Wunsch, 1970; Chou and Fasman, 1974), bioinfor­

matics is now centre-stage. Database curation has been essential to bioinformatics

in the last decade to handle the mass of data produced from the genome sequencing

projects. The challenge is now to understand the data, but this will only come from

a hypothesis-driven approach.

For example, until now there have been no ab initio methods to delineate domains

in protein sequence. The best methods were based purely on homology approaches.

The most fundamental limitations of homology based approaches is that they bear

absolutely no relationship to the actual molecular mechanisms of domain formation

in proteins.

All our methods of domain delineation are based on the physical principles of

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Conclusion

domain formation. Both SCOOBYJDO and SnapDRAGON attem pt to find domains

based on the observation that proteins bury hydrophobic residues into the interior

of the protein. Consequently, we find that a large protein cannot bury all its

hydrophobic residues into a single core and that the size of a domain is refiected

by its percentage of hydrophobic residues.

Based on the observation that domains are mobile units of evolution (Bork, 1991),

DOMAINATION tries to recreate an evolutionary pathway that a protein might

have taken by chopping and joining predicted domains in a protein’s sequence. By

considering the origin of multidomain proteins, DOMAINATION subsequently finds

14% more significant sequence matches to a query when compared to PSI-BLAST

over a large non-redundant test set.

Most current bioinformatic approaches are not based on a theoretical understand­

ing and have no predictive power beyond the realm of immediate analogy (Claverie,

2000). Bioinformatics must now enter a new phase of theoretical analysis if we are

to model, predict and, most importantly, understand the molecular basis of life.

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