ligand-assisted aggregation of proteins: …1 ligand-assisted aggregation of proteins: dimerization...

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1 LIGAND-ASSISTED AGGREGATION OF PROTEINS: DIMERIZATION OF SERUM AMYLOID P COMPONENT BY BIVALENT LIGANDS Jason G. S. Ho †‡ , Pavel I. Kitov *‡ , Eugenia Paszkiewicz * , Joanna Sadowska * , David R. Bundle * , and Kenneth K.-S. Ng †§ * University of Alberta, Department of Chemistry, Edmonton, Alberta, Canada University of Calgary, Department of Biological Sciences, Calgary, Alberta, Canada Alberta Ingenuity Centre for Carbohydrate Sciences These authors contributed equally to this work. Running Title: SAP Dimerization by Bivalent Ligands Address correspondence to: Kenneth K.S. Ng, Department of Biological Sciences, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, Canada T2N 1N4, Tel. 403-220-4320; Fax 403-289-9311; E-Mail: [email protected]. A comprehensive series of solution and crystallographic studies reveal how simple, achiral, bivalent ligands of the cyclic pyruvate of glycerol promote face-to-face complex formation of the pentraxin, serum amyloid P component (SAP) into decamers. SAP, a protein of the human innate immune system, is universally present in amyloids including cerebral amyloid deposits found in the brain of Alzheimer’s patients. Removal of SAP through a specific aggregation mechanism mediated by multivalent ligands appears to provide therapeutic benefit in the progression of this disease. Crystallographic studies reveal that in our novel series of ligands only the methyl and carboxylate moieties of the pyruvate ketal directly interact with the protein, but the geometric constraints imposed by the tether dictate which of two chair conformations are adopted by the pyruvate dioxane ring. Solution studies, as interpreted through a simple thermodynamic model, account for the distribution of pentameric and decameric bound states at different ligand concentrations and indicate that differences in the flexibility of the tether determine the geometry and stability of the specific aggregates formed between SAP and two different bivalent ligands. The factors affecting the design of ligands promoting face-to-face protein dimerization, as well as potential biological implications are discussed. The design, synthesis and characterization of tailored multivalent ligands is currently a rapidly expanding frontier for novel pharmaceuticals (1). In our design of inhibitors for the radially symmetric, pentameric bacterial toxins of Escherichia coli 0157 we observed that tailored multivalent ligands could provide a dramatic amplification in avidity over monovalent ligands (2). This design principle was subsequently validated for the structurally related cholera toxin and heat- labile enterotoxin (3,4). Besides inhibition enhancements, aggregation of receptors is essential for triggering a variety of biological responses; e.g. dimerizer-regulated gene expression offers pharmacological regulation to gene therapies (5). Although the multivalency effect due to ligand chelation can be readily rationalized in general (6,7), the structural and design principles of the aggregation mechanism are not well understood. Serum amyloid P component (SAP) belongs to the pentraxin family of circulating serum proteins and is characterized by five fold radial symmetry of the identical, non-covalently associated subunits. A part of the innate immune system, SAP binds a variety of ligands, including proteins, carbohydrates and nucleic acids, in a Ca 2+ -dependent manner. SAP seems JBC Papers in Press. Published on July 20, 2005 as Manuscript M504403200 Copyright 2005 by The American Society for Biochemistry and Molecular Biology, Inc. by guest on February 13, 2020 http://www.jbc.org/ Downloaded from

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Page 1: LIGAND-ASSISTED AGGREGATION OF PROTEINS: …1 LIGAND-ASSISTED AGGREGATION OF PROTEINS: DIMERIZATION OF SERUM AMYLOID P COMPONENT BY BIVALENT LIGANDS Jason G. S. Ho†‡, Pavel I

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LIGAND-ASSISTED AGGREGATION OF PROTEINS: DIMERIZATION OF SERUM AMYLOID P COMPONENT BY BIVALENT LIGANDS

Jason G. S. Ho†‡, Pavel I. Kitov*‡, Eugenia Paszkiewicz*, Joanna Sadowska*,

David R. Bundle*, and Kenneth K.-S. Ng†§

*University of Alberta, Department of Chemistry, Edmonton, Alberta, Canada †University of Calgary, Department of Biological Sciences, Calgary, Alberta, Canada

Alberta Ingenuity Centre for Carbohydrate Sciences

‡These authors contributed equally to this work.

Running Title: SAP Dimerization by Bivalent Ligands Address correspondence to: Kenneth K.S. Ng, Department of Biological Sciences, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, Canada T2N 1N4, Tel. 403-220-4320; Fax 403-289-9311; E-Mail: [email protected]. A comprehensive series of solution and crystallographic studies reveal how simple, achiral, bivalent ligands of the cyclic pyruvate of glycerol promote face-to-face complex formation of the pentraxin, serum amyloid P component (SAP) into decamers. SAP, a protein of the human innate immune system, is universally present in amyloids including cerebral amyloid deposits found in the brain of Alzheimer’s patients. Removal of SAP through a specific aggregation mechanism mediated by multivalent ligands appears to provide therapeutic benefit in the progression of this disease. Crystallographic studies reveal that in our novel series of ligands only the methyl and carboxylate moieties of the pyruvate ketal directly interact with the protein, but the geometric constraints imposed by the tether dictate which of two chair conformations are adopted by the pyruvate dioxane ring. Solution studies, as interpreted through a simple thermodynamic model, account for the distribution of pentameric and decameric bound states at different ligand concentrations and indicate that differences in the flexibility of the tether determine the geometry and stability of the specific aggregates formed between SAP and two different bivalent ligands. The factors affecting the design of ligands promoting face-to-face protein dimerization, as well as

potential biological implications are discussed.

The design, synthesis and characterization of tailored multivalent ligands is currently a rapidly expanding frontier for novel pharmaceuticals (1). In our design of inhibitors for the radially symmetric, pentameric bacterial toxins of Escherichia coli 0157 we observed that tailored multivalent ligands could provide a dramatic amplification in avidity over monovalent ligands (2). This design principle was subsequently validated for the structurally related cholera toxin and heat-labile enterotoxin (3,4). Besides inhibition enhancements, aggregation of receptors is essential for triggering a variety of biological responses; e.g. dimerizer-regulated gene expression offers pharmacological regulation to gene therapies (5). Although the multivalency effect due to ligand chelation can be readily rationalized in general (6,7), the structural and design principles of the aggregation mechanism are not well understood. Serum amyloid P component (SAP) belongs to the pentraxin family of circulating serum proteins and is characterized by five fold radial symmetry of the identical, non-covalently associated subunits. A part of the innate immune system, SAP binds a variety of ligands, including proteins, carbohydrates and nucleic acids, in a Ca2+-dependent manner. SAP seems

JBC Papers in Press. Published on July 20, 2005 as Manuscript M504403200

Copyright 2005 by The American Society for Biochemistry and Molecular Biology, Inc.

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to provide marginal advantage in fighting certain infections, but its primary role is believed to be the disposal of cellular debris released by apoptotic and necrotic cells thereby preventing autoimmunity (8-10). As a universal component of abnormal amyloid deposits, including the cerebral amyloid beta of Alzheimer’s Disease, P component plays a role in protecting fibrils from proteolysis and promoting amyloid deposition both in vitro and in vivo (11,12). Inhibition of SAP has recently been proposed as a pharmaceutical target, and bivalent D-proline derivatives were reported to show therapeutic efficacy in dramatically reducing serum SAP levels as well as shrinking amyloid deposits in mice (13). Despite the low intrinsic affinity of D-proline for the Ca2+ binding site, the bivalent derivatives bridge two pentameric SAP with sub micro-molar activity.

To extend our current understanding of the use of multivalent ligands in the treatment of amyloid diseases, we have synthesized a series of simple but potent bivalent inhibitors of SAP that incorporate linkers of different flexibility. The interactions of two of the most potent ligands with SAP have been thoroughly characterized through solution studies including dynamic light scattering, crystal structures of SAP-ligand complexes and a thermodynamic model for binding. These studies reveal several striking structural and thermodynamic implications of linker flexibility in multivalent binding and pose intriguing questions regarding the factors that determine the stability of ligand induced face-to-face protein complexes.

EXPERIMENTAL PROCEDURES Gel Filtration Chromatograpy (GFC) GFC was carried out using a PerSeptive Biosystems BioCAD Sprint liquid chromatography system. For most experiments, the running buffer was TN buffer (10 mM Tris (pH 8.0), 140 mM NaCl, and 20 mM CaCl2). Typically, 20 µl of protein solution (1 mg/ml SAP) in buffer A (10 mM Tris-HCl (pH 8.0), 140 mM NaCl, 1 mM EDTA) was mixed with 20 mM CaCl2 and either 2’-dAMP, 2 or 3 (each at 20 mg/ml). The protein-ligand mixtures were equilibrated overnight at 4°C before loading onto a Superose 6 GL 10/300 column

(Amersham Biosciences) or a Zorbax GF-250 9.4/250 column (Agilent Technologies). The flowrate was 1.0 ml/min, the temperature was 25°C, and elution was monitored by measuring absorbance at 280 nm. Dynamic Light Scattering (DLS) Hydrodynamic radius analysis was carried out at 25°C using a Protein Solutions DynaPro Molecular Sizing Instrument (Proterion Corp.). Samples containing SAP (0.5 mg/ml) and one of three compounds: 2’-dAMP (10 mM); 2 (10 mM); or 3 (40 mM) were equilibrated in buffer A plus 20 mM CaCl2 overnight at 4°C prior to DLS measurements. Hydrodynamic radius analysis of SAP with compounds 1 and 2 was also carried out over a range of concentrations. Samples containing SAP (1 mg/ml) and 0-10 mM of compounds 1 or 2 were equilibrated in buffer B (250 mM sodium acetate (pH 5.5), 50 mM calcium acetate) overnight at 4°C before DLS measurements. DLS measurements were only accepted if the light intensity count rate was steady to within +/- 20% and the polydispersity reading was less than 20%. All samples were measured in triplicate. Crystallization SAP was dialyzed extensively against buffer A and concentrated to 10 mg/mL prior to crystallization. All crystals were grown by the hanging drop vapour diffusion method (1 µL protein + 1 µL ligand + 1 µL reservoir equilibrated against 1 mL reservoir solution) at 21ºC. Two crystal forms were grown in the presence of Compound 1. Form A (SAP:15) grew at a ligand concentration of 40 mM with a reservoir solution consisting of 250 mM sodium acetate (pH 5.5), 50 mM calcium acetate, 9% (w/v) PEG 8000, 20% (w/v) PEG 400. Crystals appeared overnight and continued to grow for a week, giving approximate dimensions of 0.4 mm x 0.1 mm x 0.05 mm. Form B (SAP2:15) grew at a ligand concentration of 10 mM with a reservoir solution consisting of 250 mM sodium acetate (pH 5.5), 50 mM calcium acetate, 11.5% (w/v), PEG 4000, 10% (w/v) PEG 400, 5% (w/v) sorbitol. Crystals appeared after several weeks giving approximate dimensions of 0.13 mm x 0.25 mm x 0.05 mm. Crystals in the presence of 2 grew at a ligand concentration of

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40 mM with a reservoir solution consisting of 250 mM sodium acetate (pH 5.5), 50 mM calcium acetate, 12% (w/v) PEG 8000. Crystals appeared after three or four days and continued to grow for several weeks, giving approximate dimensions of 0.4 mm x 0.05 mm x 0.03 mm. Prior to data collection, the crystals grown in the presence of 2 were adapted to a cryo-preservation solution by transferring crystals to a 5 µl drop (250 mM sodium acetate (pH 5.5), 50 mM calcium acetate, 16 % (w/v) PEG 8000, and 3 % (w/v) PEG 400) and equilibrating against 1 ml of well solution (250 mM sodium acetate (pH 5.5), 50 mM calcium acetate, 16 % (w/v) PEG 8000, and 30 % (w/v) PEG 400) overnight. Structure Determination Diffraction data were measured from single crystals flash frozen under a nitrogen cryo stream (~110 K) using a MAR image plate and X-rays produced with a rotating copper anode (Rigaku RU300H). Higher resolution data were also measured on single crystals using an ADSC Quantum-315 CCD detector at the Advanced Light Source on beamline 8.3.1 (λ = 1.115Å). The data were processed, scaled and merged using DENZO, SCALEPACK (14) and programs from CCP4 (version 4.2.2) (15). Space group and unit cell dimensions for the three different SAP complexes are given in Table 3.

The protein chains from the SAP pentamer of the 2’-dAMP complex (PDB code 1LGN) were used as the search model for all molecular replacement calculations (16). The structure of SAP complexed with 1 at 40 mM (SAP·15 or crystal form A) was determined using Molrep (17). A single pentamer was located in the asymmetric unit, giving rise to reasonable crystal packing and a solvent content of 57%. Refmac (version 5.1.24) (18) was initially used to carry out rigid-body refinement with each of the five protomers as rigid bodies (100 – 2.8 Å resolution, Rwork = 0.318, Rfree = 0.308). The structure of SAP complexed with 1 at 10 mM (SAP2·15 or crystal form B) was determined using AMoRe (19). Four pentamers were located in the asymmetric unit, giving rise to reasonable crystal packing and a solvent content of 59%. AMoRe was used to carry out

rigid body refinement with each protomer as a rigid body (20 – 3.5 Å, Rfac = 0.331). The structure of SAP complexed with 2 at 40 mM concentration was determined using CNS (version 1.0) (20). Two pentamers were located in the asymmetric unit, giving rise to reasonable crystal packing and a solvent content of 52%. CNS was used to carry out rigid-body refinement with each protomer as a rigid body (20–3.8 Å resolution, Rwork = 0.334, Rfree = 0.345). Refmac was used for the refinement of individual atomic positional and temperature factor parameters, as well as translation-libration-screw axis motion parameters for each protomer. Non-crystallographic symmetry restraints were applied only for refining the structure of SAP complexed with 2, because of the relatively low limit of diffraction. Xfit (21) was used for inspecting electron density maps and interactive model building. Procheck (22) and Whatcheck (23) were used to evaluate stereochemical parameters in the model. Data collection and refinement statistics for all crystal structures are summarized in Table 3.

RESULTS

Synthesis and activity of novel bivalent inhibitors SAP has previously been shown to bind to a number of bacterial and plant oligosaccharides in a Ca2+-dependent manner (24). The crystal structure of a complex of SAP and methyl 4,6-(1-carboxyethylidene)-β-D-galactoside (MOβDG) recently revealed how the cyclic pyruvate ketal moiety in many of these natural carbohydrate polymers can directly interact with the Ca2+-binding site and adjacent regions of SAP (25). Based on this structural information, we hypothesized that a minimal fragment consisting of the cyclic pyruvate ketal of glycerol could be used to form the core binding element of a novel series of bivalent inhibitors intended to form face-to-face assemblies of SAP pentamers.

As part of a much larger series, bivalent derivatives 1 and 2 as well as monovalent analog 3 were synthesized and the SAP-binding activity for each compound was evaluated by a solid-phase assay (Supplementary online).

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These compounds have a simple, achiral structure and can be obtained in high yield from inexpensive starting materials. In this report, we focus our studies on two compounds differing primarily in the rigidity of the linker segment. The end-groups and the lengths of the linkers in compounds 1 and 2 are identical, but the piperazine ring in compound 2 prevents rotation around three central bonds, thereby restricting the flexibility of the tether. As a result, the apparent binding of 2 to SAP, as measured by solid-phase competitive ELISA, is nearly 30-fold higher than that of the more flexible analog 1, which in turn binds 140-fold better than 3. Balancing linker rigidity against geometric requirements for optimal orientation of the end groups is a common issue in the design of multivalent ligands. The difference in activity seen in this case prompted the additional studies described below.

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1IC50 = 3.8 µM

IC50 = 0.12 µM

3IC50 = 530 µM

Oligomeric States of SAP in Solution To directly observe the different oligomeric states adopted by serum amyloid P component in the presence of bivalent ligands in solution gel filtration chromatography (GFC) and dynamic light scattering (DLS) were used. As

shown previously, SAP in TN buffer elutes at the same volume in the absence of any ligands and in the presence of 2’-dAMP (26) (Table 1). Previously reported crystallographic and small-angle X-ray scattering studies also indicate that SAP adopts two different decameric forms under these conditions (16,27,28). SAP in the presence of a monovalent ligand, either MOβDG or 3, elutes at a larger volume, suggesting the presence of a pentameric state, which is consistent with previous crystallographic and solution studies (25,28). SAP in the presence of 2 elutes at a smaller volume consistent with a decameric state, which agrees with the DLS measurements and crystallographic studies described below.

DLS confirms and provides a finer probe of oligomeric populations than GFC (Table 2). In TN buffer, unliganded SAP and SAP bound to an excess of either 2’-dAMP or 2 have hydrodynamic radii (Rh) greater than 6 nm. In comparison, SAP bound to 3 in TN buffer or SAP alone in acetate buffer have hydrodynamic radii of 5.4 and 5.8 nm, respectively. The larger hydrodynamic radii in the first three samples is consistent with the presence of a decameric form as shown previously by GFC, solution X-ray scattering and X-ray crystallography (16,26).

DLS was also used to monitor the variation in hydrodynamic radii for samples of SAP equilibrated with varying concentrations of the bivalent compounds 1 and 2 (Figure 1). As the concentrations of the bivalent compounds increase from 0.25 to 10 mM, the average hydrodynamic radius of the particles in solution increases from a value expected for a pentamer (designated SAP·15 or SAP·25) and reaches a plateau near a value expected for a decamer (designated SAP2·15 or SAP2·25). As the concentration of compound 1 is further increased, the hydrodynamic radius decreases back to the value expected for a pentamer, SAP·15. In contrast, even at the highest concentrations of compound 2 that could be tested (100 mM), the hydrodynamic radius remains at the value expected for a decamer, SAP2·25.

To quantitatively account for the variation in populations of pentamers and decamers in solution as a function of ligand

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concentration, a thermodynamic model based on the principles of mass action was developed (for a complete derivation, please refer to Supplementary Material). The model leads to the relationships below that permit the two variables, free receptor concentration [R] and free ligand concentration [L], to be solved numerically at any given values of the total concentrations of ligand [L]o and receptor [R]o, where Kpentamer(i) and Kdecamer(i) are the stability constants for the formation of pentameric and decameric complexes.

[R]o = [R](1 + Σ Kpentamer(i) [L]i+ 2Σ Kdecamer(i) [L]i[R]) [L]o = [L] + Σi Kpentamer(i) [L]i[R]+ Σ iKdecamer(i) [L]i[R]2

Stability constants for various

pentameric and decameric complexes in which the receptor exists are defined as follows:

Kpentamer(i) =[RLi]

[R][L]i Kdecamer(i) =[RLiR]

[R]2[L]i

where i is the number of ligands in a complex; i varies from 1 to 5.

Parametrization of the model relies on two intrinsic binding constants k and K. The “intrinsic” binding constant k quantifies the strength of the interaction between each individual binding site of the receptor and a single affinity element of the ligand. A second “multivalent” binding constant K quantifies the strength of the hypothetical complex, where each binding fragment of bivalent ligand engaged in interaction with single binding site of two receptor molecules. For simplicity, K assumed to be constant independent of occupancy in each particular complex. The values for k and K may vary for different bivalent ligands and can be derived by fitting binding data to the model. Values of k and K can also be derived from competitive ELISA measurements under conditions at neutral pH where the binding is stronger. Accounting for the reduced binding affinity seen under the lower pH conditions used for the DLS experiments, it appears that the values of k and K.derived from ELISA measurements are consistent with those obtained by fitting our model to the DLS data (Figure 1). Figure 2 shows relationships between k and K and

corresponding stability constants Kpentamer(i) and Kdecamer(i). The thermodynamic model and the crystallographic structures described below both help to provide a framework for understanding the basis of the difference in binding behavior of compounds 1 and 2. Crystal Structures of SAP-Ligand Complexes To establish the molecular structural basis of ligand-induced SAP oligomerization, crystal structures were determined for complexes formed between SAP and compound 1 at 10 mM (decamer SAP2·15) and at 40 mM (pentamer SAP·15) (crystal forms A and B respectively), as well as for SAP bound to compound 2 at 40 mM (data collection and refinement statistics, Table 3). The oligomeric forms seen in the crystal structures are consistent with the distributions of oligomeric forms observed by DLS at different concentrations of compounds 1 and 2. Most surprisingly, however, compound 2 forms a decamer in which two of the expected ligands for the complex SAP2·25 are absent, producing a complex SAP2·23 with only three bivalent ligands present.

In all complexes, the carboxylate group of the cyclic pyruvate ketal ring in each ligand coordinates directly to the two calcium ions of a single SAP protomer (Figure 3). Direct interactions between negatively charged groups and both calcium ions is a common feature of the three previously characterized SAP complexes with 2’-deoxy-AMP (16), MOβDG (25), and a bivalent D-proline analog (13). Each carboxylate oxygen atom directly coordinates to one calcium ion, while simultaneously accepting a bifurcated hydrogen bond donated from a calcium ligand (Asn 59 and Gln 148) and shared with an oxygen acceptor within the pyruvate ketal ring (Figure 3). The only other direct interactions between the protein and the ligand consist of van der Waals contacts between the ligand methyl group and a hydrophobic pocket formed by side chains from Leu 62, Tyr 64 and Tyr 74. This hydrophobic contact is also seen in the complex between SAP and MOβDG (25).

In the decameric complexes SAP2·15 and SAP2·23, separate pentamers are cross-

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linked by multiple bivalent ligands (Figures 4 and 5). In the decameric complex SAP2·15, the planes of the two pentamer rings are nearly parallel (interplanar angle of 0.8º). All ten Ca2+-binding sites are occupied by ligand in the same conformation, and the Ca2+-Ca2+ distances for each pair of cross-linked protomers lies within the range of 17.2-19.4 Å. A similar situation is seen in the decameric complex formed with 2’-deoxy-AMP (16) (interplanar angle of 0.1º, Ca2+-Ca2+ distances in the range of 10.9-11.0 Å). In contrast, the decameric complex SAP2·23 shows that the two pentamer rings are tilted relative to each other (interplanar angle of 4.6º). Moreover, only six of the ten Ca2+-binding sites are occupied by ligand, with three pairs of opposing protomers being cross-linked by bivalent ligands and the remaining four protomers free of bound ligand. The Ca2+-Ca2+ distances range from 14.7 to 16.2 Å in the three pairs of protomers cross-linked by bivalent ligands, and are 12.0 and 12.2 Å for the two pairs of unliganded protomers.

DISCUSSION

Multivalent ligand-induced aggregation provides an attractive approach to the development of novel therapeutics in a wide range of medically important areas. Many viral, bacterial and fungal pathogens adhere to cell-surface protein and carbohydrate epitopes through multivalent ligand-receptor interactions, and synthetic inhibitors mimicking the multivalent nature of these interactions have been shown to provide effective therapeutics in a number of systems. The presentation of five binding sites on a single face of the SAP pentamer and the unique role of SAP in promoting amyloid plaque formation in diseases such as Alzheimer’s Disease and type II diabetes provide an opportunity for the development of novel multivalent ligands that promote the disruption of amyloid plaques. The principles underlying the design and mechanism of multivalent ligands for therapeutic purposes remain poorly understood, however, and studies into the basic interactions between multivalent ligands and SAP are needed to develop more effective therapeutics.

The binding of multivalent ligands to oligomers bearing multiple binding sites gives rise to a complex equilibrium of oligomeric states that depends on both the single-site and multi-site binding affinities of different multivalent ligands. To quantitatively model binding states in this complex system, we have developed a simple, thermodynamic model that predicts the distribution of different bound forms of receptor in solution (corresponding to observations from ELISA, DLS and GFC) as a function of bivalent ligand concentration (Figure 2).

The difference in stability of the complexes formed by compounds 1 and 2 is consistent with the higher inhibitory potency of compound 2 in the solid-phase ELISA and with entropy penalties associated with the increased flexibility of 1. Compound 1 is free to rotate about the 3 single bonds of the tether and in principle each bond may adopt each of 3 staggered rotamers. Therefore Kdecamer (the quantity estimated by ELISA) is expected to be reduced by a factor of ~33. The “bell” shape of the binding isotherms seen in DLS cannot be observed by ELISA, because the aggregated decameric species are replaced with pentameric complexes whose binding sites are highly populated with monovalently bound ligand at high ligand concentrations. These species are also inhibited and unable to bind to the plate. The model predicts that under the conditions used for ELISA, the observed inhibition isotherm coincides with the left branch of the bell formed by combined aggregated species (decamers) and K can be closely approximated by 1/IC50.

In acetate buffer, GFC and DLS both indicate that unliganded SAP adopts a predominantly pentameric state. As the concentrations of bivalent ligands increase, DLS indicates that the average hydrodynamic radius of protein complexes in solution increases, which in turn suggests a decrease in the proportion of pentamers and an increase in the proportion of decamers (Figure 1). For compound 1, the average hydrodynamic radius of particles in solution reaches a maximum value that is similar to that expected for a pure population of decamers over the concentration range of approximately 5-20 mM. At higher

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concentrations, the hydrodynamic radius appears to decrease, suggesting a decrease in the proportion of decamers and an increase in the proportion of pentamers. For compound 2, the hydrodynamic radius reaches a similar maximum value over the concentration range of approximately 1-100 mM, but higher concentrations could not be tested due to the limited solubility of the compound.

The variation in hydrodynamic radius observed by DLS provides quantitative support for the distribution of oligomeric states predicted by the mass action model (Figure 1). The values of k and K used to fit the DLS data (Figure 1) are comparable to values that were estimated by competitive ELISA measurements (Supplementary material). It is notable that ELISA measurements indicate weaker binding of both compounds 1 and 2 at the lower pH conditions (5.5) used for DLS measurements and crystallization, when compared to binding measurements conducted at physiological pH 7-8. The decameric complex seen in crystals formed in the presence of compound 1 at 10 mM, the pentameric complex seen in crystals formed with compound 1 at 40 mM, and the decameric complex seen in crystals formed with compound 2 at 40 mM are also consistent with the DLS data and support the binding model.

Despite similar local interactions between the carboxylate and methyl groups of the ligand with the protein and compounds 1 or 2, it is striking that the dioxane ring adopts different conformations in different complexes (Figure 4). In the SAP·15 complex, the ring adopts a chair conformation in which the carboxylate group is axial, whereas the methyl group and linker oxygen are equatorial. This appears to be the major conformation adopted by the ring, but residual difference electron density indicates that a mixture of ring conformations may be present. In contrast, in both bivalent complexes SAP2·15 and SAP2·23, an alternate chair conformation is clearly adopted in which the carboxylate group is equatorial, while the methyl group and linker oxygen are axial. Although the opposite conformation with the axial carboxylate group is the only one observed by NMR for the free ligand in solution, specific geometric constraints for orienting face-to-face pentamers

in a decameric complex act to select the alternate chair conformation of the dioxane ring. The induced fit conformations of the bound ligands indicate that the gain in binding energy due to multivalency is partially offset by the energetic penalty associated with the adoption of an alternate conformation of the pyruvate ketal ring. This unexpected observation indicates that any rational design of ligands would have to consider both conformations of the dioxane ring.

The structures of the decameric complexes SAP2·15 and SAP2·23 provide a starting point for understanding the geometric requirements for the formation of complexes between two SAP pentamers and multiple bivalent ligands. For the complex SAP·15 crosslinking is not observed between different pentamers. A single ligand is bound to each calcium binding site, with well-defined electron density around the dioxane ring but no electron density corresponding to the linker or second ring, which are presumably mobile and disordered in the crystals.

A detailed structural analysis of the complexes SAP2·15 and SAP2·23 suggests that the different linker structures of these two bivalent ligands may contribute to the different arrangements of pentamers within the two decameric complexes. The more flexible linker found in compound 1 appears to accommodate a parallel arrangement of pentamers that allows all ten binding sites to be occupied by ligand in a highly symmetrical arrangement. In contrast, the more rigid linker found in compound 2 imposes a stronger conformational constraint on the arrangement of opposing pentamers. The geometric requirements of the linkers induces a slight tilt between the two pentamer rings, thus breaking the two-fold rotational symmetry between opposing pentamers. The three central single bonds in compound 1 allow three additional degrees of torsional rotational freedom compared with the relatively rigid central piperazine ring found in compound 2. The arrangement of protomers within each pentamer is the same in all complexes, and each pentamer forms a fairly rigid, planar unit. As a result, the binding interactions between each ligand and each Ca2+-binding site, in combination with the geometric restrictions in

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the linker segment, control the relative orientation of each pentamer relative to the other.

In addition to the tilt angle between opposing pentameric rings, the relative rotational arrangement of each pentamer also varies in different complexes, when viewing the decameric complex along the five-fold rotation axis (Figure 5). In the complex with 2’-dAMP, the calcium ions from opposing pentamers are closely aligned. In comparison, the decameric complexes formed with compounds 1 and 2 show that the calcium ions from opposing pentamers are offset from each. The offset induces a rotation of 26º and 22º of one pentamer relative to other, when compared with the 2’-dAMP decameric complex. Although it would be of interest to perform a similar comparison with the decameric complex formed between SAP and the bivalent D-proline inhibitor (13), the coordinates for that structure have not been deposited in the PDB.

It is important to note that there are no definite protein-protein interactions between opposing pentamers in either the SAP2•15, SAP2•23 complexes. A possible exception to this may occur in the SAP2•23 complex between the side chains of Lys 143 and His 78. It is possible to model conformations for both side chains that would allow them to form a hydrogen bond in the two opposing pairs of unliganded SAP protomers in the SAP2•23 complex. Only two pairs of these hydrogen bonds can form between opposing pairs of unliganded protomers, because the separation between protomers is too large between opposing pairs of liganded SAP protomers. The presence of this hydrogen bond is somewhat speculative, because there is no definite electron density for the side chain of Lys 143 in the SAP2•23 crystal structure to support the presence of this hydrogen bond. It should be noted that this interaction would be expected to be more stable at higher or more physiological pH values than that which is found in the crystal (pH 5.5). Lys 143 also forms the only direct protein-protein interaction bridging opposing SAP pentamers in the SAP2•dAMP10 complex, where the ε-amino group donates a hydrogen bond to a main-chain carbonyl oxygen (16)

Apart from the potential hydrogen bond between Lys 143 and His 78, there may also be water-mediated interactions between opposing pentamers. The relatively low resolution and poor data quality of the SAP2•23 complex does not allow for an analysis of water-mediated interactions. The higher resolution data for the SAP2•15 complex helps to reveal well-ordered solvent sites, but likely fail to define partially ordered solvent sites. The model of solvent sites modeled from crystallographic data in the SAP2•15 complex do not reveal a network of well-ordered water molecules bridging opposing pentamers. The electron density for the solvent between pentamers suggests that the water molecules between opposing pentamers form a fairly dynamic ensemble.

Given the lack of evidence for rigid protein-protein or solvent-mediated interactions between opposing pentamers,, it is likely that a wide range of rotational orientations between opposing pentamers are possible, depending on the structure and binding interactions of different cross-linking ligands. It is unclear at present whether different rotational orientations of opposing pentamers correlate with differences in biological activity. Because the formation of SAP decamers by bivalent molecules may be correlated with clearance from serum through cell-surface receptors, it is interesting to consider whether different arrangements of pentamers may also be cleared at different rates. It may be that the tightest binding ligand will not be the one that promotes optimal clearance of SAP. Ongoing in vivo studies will help to address the therapeutic efficacy of compounds 1 and 2 in treating amyloid disorders such as Alzheimer’s disease.

Our crystal structure data pose several questions regarding the distribution of bound states in solution and in the crystal state that cannot be resolved at present. The most active compound 2 achieves its activity despite the presence of only 3 bivalent ligands in the face-to-face complex with SAP. If this crystal structure accurately represents the solution behavior of 2 with SAP, then the explanation for the higher activity of this compound is more complex than implied by the preceding discussion, and the thermodynamic model used to infer binding constants would need revision.

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Either positive or negative co-operativity effects might be in play, if the demands of accessible conformations of the ketal rings and tethers determine the different angular disposition of protein pentamers in the decameric complexes.

Alternatively, the tilted orientation of pentamer rings seen in the decameric complex with compound 2 may be the result of crystal packing forces as opposed to intrinsic conformational preferences in the tether of compound 2. If true, compound 2 should form a decameric complex with the stoichiometry SAP2·25 in solution that is similar in structure to the decameric complex SAP2·15. This explanation is attractive because all binding sites would have uniform binding characteristics, thereby making it unnecessary to invoke negative or positive cooperativity between opposing pentamers as an explanation for the higher inhibitory activity of 2.

A weakness of this interpretation is that there is no evidence indicating the presence of strong crystal packing forces capable of distorting a symmetrical decameric complex into the complex with pentamer rings tilted relative to each other and in which ligands are displaced from four binding sites. The solvent content of the three crystal forms are SAP·15 57%, SAP2·15 59% and SAP2·23 52%, which are all within the normal range for protein crystals (29). Moreover, the pattern of crystal packing interactions in the SAP2•23 crystal form does not appear to strongly favour a tilted complex. It is of interest to note that in the crystal structure of SAP crosslinked by bivalent D-proline ligands (13), the tether length is not ideal and a strained conformation appears to be adopted. In that case as well, there is no clear evidence indicating whether the strained conformation of the tether is induced by the geometric constraints on the system or whether crystal packing forces are involved.

In order to address these uncertainties about the solution composition

of decameric complexes induced by 2 it would be helpful to determine the stoichiometry of ligand binding in complexes formed in solution using a technique that provides highly precise mass measurements. Nanoelectrospray ionization mass spectrometry studies have previously reported on the distribution of SAP oligomeric states in solution (30), but ligand binding studies pose a more difficult challenge. Fourier Transform-Ion Cyclotron Resonance mass spectrometry has been used to determine ligand-binding stoichiometry in complexes with a total mass of ~40 kDa (31). However, the higher mass of the decameric complexes at ~250 kDa poses a severe challenge to the instrumentation currently available. CONCLUSIONS Simple, achiral, bivalent ligands based on the pyruvate ketal of glycerol exhibit micromolar to sub-micromolar binding constants with SAP and induce the formation of face-to-face decameric complexes SAP2·15 and SAP2·23. Solution studies primarily using DLS, X-ray crystal structures and a thermodynamic model establish that although ligand-protein interactions determine the nature of the cross-linking interactions the orientation of protein protomers is determined by tether characteristics and that the requirements of the complex can affect the conformation of the pyruvate ketal ring. This work establishes a number of fundamental principles for the design of novel cross-linking compounds that can exploit the thermodynamic advantages of multivalent binding, while at the same time inducing the formation of specific aggregates with the geometric properties necessary for desirable therapeutic purposes.

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REFERENCES

1. Boas, U., and Heegaard, P. M. (2004) Chem Soc Rev 33, 43-63 2. Kitov, P. I., Sadowska, J. M., Mulvey, G., Armstrong, G. D., Ling, H., Pannu, N. S.,

Read, R. J., and Bundle, D. R. (2000) Nature 403, 669-672 3. Fan, E. K., Zhang, Z. S., Minke, W. E., Hou, Z., Verlinde, C. L. M. J., and Hol, W.

G. J. (2000) J Am Chem Soc 122, 2663-2664 4. Zhang, Z., Merritt, E. A., Ahn, M., Roach, C., Hou, Z., Verlinde, C. L., Hol, W. G.,

and Fan, E. (2002) J Am Chem Soc 124, 12991-12998 5. Pollock, R., and Clackson, T. (2002) Curr Opin Biotechnol 13, 459-467 6. Kitov, P. I., and Bundle, D. R. (2003) J Am Chem Soc 125, 16271-16284 7. Gargano, J. M., Ngo, T., Kim, J. Y., Acheson, D. W., and Lees, W. J. (2001) J Am

Chem Soc 123, 12909-12910 8. Noursadeghi, M., Bickerstaff, M. C., Gallimore, J. R., Herbert, J., Cohen, J., and

Pepys, M. B. (2000) Proc Natl Acad Sci U S A 97, 14584-14589 9. Bickerstaff, M. C., Botto, M., Hutchinson, W. L., Herbert, J., Tennent, G. A., Bybee,

A., Mitchell, D. A., Cook, H. T., Butler, P. J., Walport, M. J., and Pepys, M. B. (1999) Nat Med 5, 694-697

10. Gillmore, J. D., Hutchinson, W. L., Herbert, J., Bybee, A., Mitchell, D. A., Hasserjian, R. P., Yamamura, K., Suzuki, M., Sabin, C. A., and Pepys, M. B. (2004) Immunology 112, 255-264

11. Tennent, G. A., Lovat, L. B., and Pepys, M. B. (1995) Proc Natl Acad Sci U S A 92, 4299-4303

12. Botto, M., Hawkins, P. N., Bickerstaff, M. C., Herbert, J., Bygrave, A. E., McBride, A., Hutchinson, W. L., Tennent, G. A., Walport, M. J., and Pepys, M. B. (1997) Nat Med 3, 855-859

13. Pepys, M. B., Herbert, J., Hutchinson, W. L., Tennent, G. A., Lachmann, H. J., Gallimore, J. R., Lovat, L. B., Bartfai, T., Alanine, A., Hertel, C., Hoffmann, T., Jakob-Roetne, R., Norcross, R. D., Kemp, J. A., Yamamura, K., Suzuki, M., Taylor, G. W., Murray, S., Thompson, D., Purvis, A., Kolstoe, S., Wood, S. P., and Hawkins, P. N. (2002) Nature 417, 254-259

14. Otwinowski, Z., and Minor, W. (1997) Methods Enzymol. 276, 307-326 15. Collaborative Computational Project, N. (1994) Acta Crystallogr. D 50, 760-763 16. Hohenester, E., Hutchinson, W. L., Pepys, M. B., and Wood, S. P. (1997) J Mol Biol

269, 570-578 17. Vagin, A. A., and Teplyakov, A. (1997) J. Appl. Cryst. 30, 1022-1025 18. Winn, M. D., Isupov, M. N., and Murshudov, G. N. (2001) Acta Crystallogr D Biol

Crystallogr 57, 122-133. 19. Navaza, J. (1994) Acta Crystallographica Section A 50, 157-163 20. Brunger, A. T., Adams, P. D., Clore, G. M., DeLano, W. L., Gros, P., Grosse-

Kunstleve, R. W., Jiang, J. S., Kuszewski, J., Nilges, M., Pannu, N. S., Read, R. J., Rice, L. M., Simonson, T., and Warren, G. L. (1998) Acta Crystallogr D Biol Crystallogr 54, 905-921.

21. McRee, D. E. (1999) J. Structural Biology 125, 156-165

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22. Morris, A. L., MacArthur, M. W., Hutchinson, E. G., and Thornton, J. M. (1992) Proteins 12, 345-364

23. Hooft, R. W., Vriend, G., Sander, C., and Abola, E. E. (1996) Nature 381, 272. 24. Pepys, M. B., Booth, D. R., Hutchinson, W. L., Gallimore, J. R., Collins, P. M., and

Hohenester, E. (1997) Amyloid-Journal of Protein Folding Disorders 4, 274-295 25. Thompson, D., Pepys, M. B., Tickle, I., and Wood, S. (2002) J Mol Biol 320, 1081-

1086 26. Hutchinson, W. L., Hohenester, E., and Pepys, M. B. (2000) Mol Med 6, 482-493 27. Emsley, J., White, H. E., O'Hara, B. P., Oliva, G., Srinivasan, N., Tickle, I. J.,

Blundell, T. L., Pepys, M. B., and Wood, S. P. (1994) Nature 367, 338-345 28. Ashton, A. W., Boehm, M. K., Gallimore, J. R., Pepys, M. B., and Perkins, S. J.

(1997) J Mol Biol 272, 408-422 29. Matthews, B. W. (1968) J Mol Biol 33, 491-497 30. Aquilina, J. A., and Robinson, C. V. (2003) Biochem J 375, 323-328 31. Kitova, E. N., Kitov, P. I., Bundle, D. R., and Klassen, J. S. (2001) Glycobiology 11,

605-611

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FOOTNOTES

We thank Isabelle Barrette-Ng for helpful discussions on this manuscript. This work was supported by the Alberta Ingenuity Centre for Carbohydrate Sciences, Canadian Institutes for Health Research (grant no. G118980012 to D.B. and New Investigator Award to K.N.) and Alberta Heritage Foundation for Medical Research (AHFMR). J.H. is supported by a fellowship from Alberta Ingenuity. X-ray diffraction data were collected at beamline 8.3.1 of the Advanced Light Source (ALS) at Lawrence Berkeley Lab, under an agreement with the Alberta Synchrotron Institute (ASI). The ALS is operated by the Department of Energy and supported by the National Institute of Health. Beamline 8.3.1 was funded by the National Science Foundation, the University of California and Henry Wheeler. The ASI synchrotron access program is supported by grants from the Alberta Science and Research Authority and AHFMR. Data deposition: Atomic coordinates have been deposited in the Protein Data Bank, www.pdb.org (PDB ID codes XXX, YYY, ZZZ). Abbreviations: SAP, serum amyloid P component; MOβDG, methyl 4,6-(1-carboxyethylidene)-β-D-galactoside; DLS, dynamic light scattering; GFC, gel filtration chromatography.

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FIGURE LEGENDS Figure 1. DLS measurements (derived hydrodynamic radius) are superimposed onto distribution curves showing the fractions of pentameric (blue line) and decameric (red line) forms of SAP that are predicted from the theoretical mass action model for compounds 1 (A) and 2 (B). Values of model parameters: (A) k = 50, K = 2400; (B) k = 50, K = 10500. The model assumes a maximal ligand occupancy of 5 for the formation of sandwich-like complexes consisting of two face-to-face pentamers. Figure 2. Schematic diagram showing free energy relationships between the unbound receptor and complexes with ligand. Expressions next to equilibrium signs represent corresponding equilibrium constants Kpentamer(i) and Kdecamer(i). Figure 3. Stereoscopic views of the Ca2+-binding site of SAP bound to compounds 1 (SAP·15 crystal form (A) and SAP2·15 crystal form (B)) and 2 (SAP2·23 (C)). Carbon atoms in the ligands are coloured grey, and in SAP are coloured green. Oxygen and nitrogen atoms are coloured red and blue respectively. Calcium ions are represented by yellow spheres. Hydrogen bonds and calcium coordination bonds are denoted by blue and black dashed lines and solid black lines respectively. Figures 3, 4 and 5 were prepared using PyMOL (32). Figure 4. Stereoscopic views of electron density contoured around compounds 1 (A) (SAP2·15 crystal form B) and 2 (B) (SAP2·23) bridging two pentamers of SAP. All atoms of the ligand were removed from the model before refinement and the calculation of a sigma-A weighted |Fo|-|Fc| difference map (contoured at 3.0 and 2.5 σ in (A) and (B), respectively). Figure 5. Decameric structures of SAP bound to (A) 2’-dAMP (PDB code 1LGN), (B) compound 1 (SAP2·15 crystal form B) and (C) compound 2 (SAP2·23). The orientation of the lower pentamer (coloured grey) is the same for all molecules in the side and top views shown in the left and right panels, respectively. The centre of mass for each protomer is drawn in the right panel as a large sphere.

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Table 1. Gel filtration chromatography – Elution Volumes (mL) Superose 6 GL Zorbax GF-250 SAP 12.9 7.1 SAP + 1 12.8 7.1 SAP + 3 13.8 7.7 SAP + 2’-dAMP 13.0 7.2 Table 2. Dynamic light scattering

Hydrodynamic radius (nm)

SAP 6.1 ± 0.21 SAP + 1 6.2 ± 0.30 SAP + 3 5.8 SAP + 2’-dAMP 6.1 ± 0.06 SAP in acetate 5.4 ± 0.15

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Table 3. Crystallographic Statistics

Crystal / Space Group SAP·15 / P21 (Form A) SAP2·15 / P1 (Form B) SAP2·23 / P21 Unit cell lengths (Å) 94.7 x 70.0 x 101.1 96.7 x 105.3 x 146.0 77.9 x 95.1 x 164.3 Unit cell angles (°) 90, 97.1, 90.0 86.5, 78.2, 76.8 90.0, 98.7, 90.0 Resolution (Å) 60 – 2.00 100 – 2.20 100 – 3.00 Total reflections1 186121 (17285) 534468 (50422) 144725 (11626) Unique reflections1 84221 (8126) 269382 (26464) 45367 (4054) Redundancy1 2.2 (2.1) 2.0 (1.9) 3.2 (2.9) Completeness (%)1 94.5 (91.8) 97.2 (95.6) 95.1 (85.3) I/σ1 17.9 (6.3) 15.5 (3.2) 14.4 (2.2) Rsym

1,2 0.047 (0.172) 0.043 (0.231) 0.071 (0.349)

Rwork3 0.219 (0.237) 0.188 (0.229) 0.236 (0.285)

Rfree4 0.251 (0.297) 0.229 (0.287) 0.293 (0.365)

Number of atoms: Protein 8245 32980 16490 Ligand 64 300 95 Solvent and Ions 483 487 20 R.m.s. deviations from ideal geometry: Bond lengths (Å) 0.006 0.007 0.008 Bond angles (°) 1.070 1.117 1.255 Avg. Temp. Factors (Å2): Wilson Plot 18.1 35.1 75.2 Protein5 25.3 35.6 113.7 Ligand5 81.3 99.0 154.8 Water5 29.2 29.3 -

1Values from the outermost resolution shell (SAP·15: 2.05 – 2.00; SAP2·15: 2.28 – 2.20; SAP2·25 :3.08 – 3.00) are given in parentheses 2 ( ) ∑ ∑∑ ∑ −=

h i ih i isym hIhIhIR )(/)()( , where Ii(h) is the ith integrated intensity of a given reflection and <I(h)>

is the weighted mean of all measurements of I(h). 3 ∑∑ −=

h oh cowork hFhFhFR )(/)()( for the 95% of reflection data used in refinement. 4 ∑∑ −=

h oh cofree hFhFhFR )(/)()( for the 5% of reflection data excluded from refinement. 5Temperature factors include TLS component as calculated by TLSANL (CCP4)

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0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

0 0.0001 0.001 0.01 0.1 1[Compound 1] (M)

Frac

tion

of S

AP

5.4

5.6

5.8

6

6.2

6.4

6.6

6.8

7

Hyd

rody

nam

ic R

adiu

s (n

m)

0

0.1

0.2

0.3

0.4

0.5

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0.7

0.8

0.9

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0 0.0001 0.001 0.01 0.1 1

Frac

tion

of S

AP

5.4

5.6

5.8

6

6.2

6.4

6.6

6.8

7

Hyd

rody

nam

ic R

adiu

s (n

m)

[Compound 2] (M)

Figure 1

B

A

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+

R L

RL RLL RLLL RLLLL RLLLLL

RLR RLLR RLLLR RLLLLR RLLLLLR

Ω(1)k

5i

5!2i

(5-i)!i!Ω(i) = 2i =

Ω(2)k2 Ω(3)k3 Ω(4)k4 Ω(5)k5

5Ω(1)K 5Ω(2)K2 5Ω(3)K3 5Ω(4)K4 5Ω(5)K5

Figure 2

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Tyr 74

Tyr 74Tyr 74

Tyr 74Tyr 74

Tyr 74Tyr 64 Tyr 64

Tyr 64 Tyr 64

Tyr 64 Tyr 64

Asn 59

Gln 148 Gln 148

Gln 148 Gln 148

Gln 148 Gln 148Asn 59

Asn 59Asn 59

Asn 59Asn 59

A

B

C

Figure 3

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Tyr 74

Tyr 64

Tyr 74Tyr 74

Tyr 74

Tyr 64

Tyr 64Tyr 64

Gln 148Gln 148

Gln 148 Gln 148

Tyr 74

Tyr 64

Tyr 74Tyr 74

Tyr 74

Tyr 64

Tyr 64Tyr 64

Gln 148Gln 148

Gln 148 Gln 148

A

B

Figure 4

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A

B

C

Figure 5

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Supplementary information for

Ligand-Assisted Aggregation of Proteins: Dimerization

of Serum Amyloid P Component by Bivalent Ligands

Jason G. S. Ho, Pavel I. Kitov, Eugenia Paszkiewicz, Joanna Sadowska,

David R. Bundle, and Kenneth K.-S. Ng

Binding model Consider an equilibrium mixture of a receptor R, which contains 5 binding sites and ligand L, which contains 2 binding units. We need to calculate the distribution of complexes between the ligand L and acceptor R. The linker between two binding elements in the ligand is too short to span the distance between any binding sites located on the surface of the same pentameric receptor but due to the unidirectional presentation of all 5 binding sites by each receptor it is possible for the ligand to cross-link two pentameric receptors providing face-to-face alignment of the receptors is attainable. The aggregates (decamers) can only form by dimerization of pentameric receptor mediated by at least one bivalent ligand. To avoid excessively cumbersome expressions we ignore those decameric aggregates, in which some ligands engage only one of two binding units as well as any higher-order aggregates (more than 2 receptors). The contribution of these species is insignificant and their exclusion from consideration does not substantially affect the accuracy of the simulation. Stability constants for various complexes, in which the receptor exists in its pentameric or aggregated decameric form, are defined as follows:

Kpentamer(i) =[RLi]

[R][L]i Kdecamer(i) =[RLiR]

[R]2[L]i (1)

where i is the number of ligands in a complex; i varies from 1 to 5. Conservation of mass relationships are given as: [R]o = [R] + Σ[ RLi] +2Σ [RLiR] (2) [L]o = [L] + Σi[RLi] +Σi[RLiR] (3)

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Substitution of Eq. 1 into Eq. 2 and Eq. 3 yields Eq. 4 and Eq. 5 correspondingly. [R]o = [R](1 + Σ Kpentamer(i) [L]i+ 2Σ Kdecamer(i) [L]i[R]) (4) [L]o = [L] + Σi Kpentamer(i) [L]i[R]+ Σ iKdecamer(i) [L]i[R]2

(5) where [R]o and [L]o are the total concentrations of the receptor and the ligand. Parametrization of the model In order to use this model for simulations we must specify the binding parameters Kpentamer(i) and Kdecamer(i). The following approach was taken to estimate the value of the stability constants. Let us assign the “intrinsic” binding constant k to the interaction between each individual binding site of the receptor and one affinity element of the ligand. Assuming that there is no cooperativity between binding sites, the first series of binding constants is found as follows: Kpentamer(i) = Ω(i) ki

5i

5!2i

(5-i)!i!Ω(i) = 2i =

(6) The stability constant of the complex is proportional to the intrinsic binding constant raised to the power i, which is the number of individual interactions. The statistical coefficient Ω(i) accounts for the number of permutations between 5 binding sites and i bound ligands. Each of the bivalent ligands may bind two-ways thereby increasing the number of permutations by a factor of 2i. Analogously, if we assign the binding constant K to each individual bivalent cross-linking interaction the second set of the binding constants is given as Kdecamer(i) = 5Ω(i) Ki

(7) The additional statistical coefficient 5 arises from the 5-fold axis of symmetry in cross-linked complexes. After substitution of parameters Kpentamer(i) and Kdecamer(i) into the system of two polynomials (Eq. 4 and Eq. 5) the system of two variables [R] and [L] can be solved numerically at any given values of the total concentrations of ligand [L]o and receptor [R]o (these polynomials are of the 5-th order but only polynomials up to the 3-rd order have a general analytical solution). Then the concentrations of the complexes are found from Eq. 1.

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Experimental procedures

NH

CHO O

Cl

O

N

CHO O

O

I Scheme 1 N-10-undecenoyl-D-proline (I) To a solution of D-proline (99 mg, 0.86 mmol) in acetonitrile (1 mL) and 2 M NaOH (0.52 mL) and 1 M NaHCO3 (0.65 mL) a solution of 10-undecenoyl chloride (174 mg) in dry acetonitrile (0.65 mL) was added slowly at 0 oC concomitantly with 2M NaOH in order to maintain pH above 8. After the addition, the mixture was stirred for 2 h at 0 oC then 1 h at RT. The organic solvent was removed under reduced pressure and the residue was acidified with 1 M HCl and extracted with DCM. The organic fractions were concentrated and the residue was purified by reversed phase (C-18) HPLC in water-MeOH (50:50-30:70) to give title compound I (127 mg, 52%). 1H-NMR (CDCl3): δ 5.82-5.75 (m, 1 H, allyl), 4.99-4.89 (m, 2 H, allyl), 4.59 (dd, 1 H, J =2.3 Hz, J =8.24 Hz, proline αH), 3.57-3.52 (m, 1 H, proline δH), 3.47-3.41 (m, 1 H, proline δH), 2.52-2.47 (m, 1 H, proline βH), 2.38-2.29 (m, 2 H, CH2), 2.08-1.89 (m, 5 H, proline βH, proline γH, CH2), 1.69-1.60 (m, 2H, CH2), 1.38-1.24 (m, 10H, CH2). Electrospray ionization MS m/z (M+H) Calcd. 282.2069 Found 282.2068.

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OO

O OEt

O O

ONO2

OO

OO

OO

O OEt

OHN

O

NH

O

O

OO

OEtO

OO

O OH

OHN

O

NH

O

O

OO

OHO

OO

O OEt

O

OO

O

OO

OEtO

N

N

OO

O OH

O

OO

O

OO

OHO

N

N

1 2

III

IV V

II

Scheme 2 (Z)-2-Ethoxycarbonyl-2-methyl-5-(p-nitrophenyloxycarbonyloxy)-1,3-dioxane (III). 4-Methyl-3-oxo-2,5,7-tri-oxa-bicyclo[2.2.2]-octane II1 (9.14 g, 63.4 mmol) in anhydrous ethanol (80 mL) was treated with 1 M sodium ethoxide (2 mL). The mixture was left at room temperature overnight then neutralized with Dowex (H+) resin, filtered and concentrated. The oily product was dissolved in dry DCM (70 mL) and p-nitrophenylchloroformate (15.35 g, 76.13 mmol) was added followed by dry pyridine (12 g, 152 mmol) dropwise. After stirring at room temperature for 1 h the mixture was diluted with DCM, washed with brine, concentrated and chromatographed on silica gel using toluene–ethyl acetate (10:1) to provide an oily product III, which slowly crystallized (14.9 g; 66%). 1H-NMR (CDCl3): δ 8.28-8.24 (m, 2 H, arom.), 7.37-7.33 (m, 2 H, arom.), 4.94-4.89 (m, 1 H, H-5), 4.31 (q, 1 H, J =7.14 Hz, OCH2), 4.26-4.22 (m, 2 H, H-4e, H-6e), 3.78-3.74 (m, 2 H, H-4a, H-6a), 1.54 (s, 3 H, CH3), 1.35 (t, 3 H, CH3); Electrospray ionization MS m/z 376 (M+Na). Bis-1,2-[(Z)-2-ethoxycarbonyl-2-methyl-1,3-dioxane]-5-yloxycarbamoyl-ethane (IV). A solution of compound III (0.64 mg, 1.8 mmol) in DCM (3 mL) was slowly added to a stirred solution of ethylenediamine (44 mg, 0.72 mmol) in DCM (1 mL) in the presence of triethylamine (0.37 g, 3.6 mmol). The mixture was stirred at room temperature for 1 h, then concentrated co-evaporated with toluene and chromatographed on silica gel using hexane-acetone (4:1-3:1) to

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give title compound IV (297 mg; 84 %). 1H-NMR (CDCl3): δ 5.08–5.00 (m, 2 H, NH), 4.79 (tt, 2 H, J4e,5=J5,6e=5.2 Hz, J4a,5=J5,6a=10.3 Hz, H-5), 4.29 (q, 4 H, J=7.05 Hz, CH2), 4.11 (dd, 4 H, J4a,4e=J6a,6e=11.1 Hz, H-4e, H-6e), 3.57 (dd, 4 H, H-4a, H-6a), 3.28 – 3.22 (m, 4 H, NCH2), 1.50 (s, 6 H, CH3), 1.32 (t, 6 H, CH3). Electrospray ionization MS m/z 515 ( M+Na). Bis-1,2-[(Z)-2-carboxy-2-methyl-1,3-dioxane]-5-yloxycarbamoyl-ethane (1). Compound IV (50 mg, 0.1 mmol) was dissolved in methanol and treated with aqueous 2 M NaOH (0.2 mL). The mixture was kept at room temperature for 1 h then concentrated, dissolved in water and left at room temperature overnight. The mixture was acidified with Dowex H+ resin, filtered, concentrated and lyophilized to provide 1 as white foam. 1H-NMR (D2O): δ 4.70-4.65 (m, 2 H, H-5), 4.18–4.10 (m, 4 H, H-4e, H-6e), 3.70–3.64 (m, 4 H, H-4a, H-6a), 3.19 (s, 4 H, NCH2), 1.50 (s, 6H, CH3). Electrospray ionization MS m/z: 503 ( M+3Na-2H ); 481 ( M+2Na-H ); 451 (M+Na). Bis-N,N-[(Z)-2-ethoxycarbonyl-2-methyl-1,3-dioxane]-5-yloxycarbonyl-piperazine (V). A solution of compound III (0.54 g, 1.52 mmol) in DCM (3 mL) was slowly added to a stirred solution of piperazine (52 mg, 0.6 mmol) in DCM (1 mL) followed by triethylamine (0.3 g). The mixture was stirred at room temperature for 1 h, then concentrated, co-evaporated with toluene and chromatographed on silica gel using hexane-acetone (4:1-3:1). The product was rectified on silica gel using hexane-ethyl acetate (4:1-2:1) to provide an oily product IV (273 mg; 88%). 1H NMR (CDCl3): δ 4.84 (tt, 2 H, J4e,5=J5,6e=5.25, J4a,5=J5,6a=9.4 Hz, H-5 ), 4.29 (q, 4 H, J=7.1 Hz, CH2), 4.14 (dd, 4 H, H-4e, H-6e), 3.60 (dd, 4 H, H-4a, H-6a), 3.38 (bs, 8 H, NCH2), 1.52 (s, 6 H, CH3), 1.32 (t, 6 H, CH3). MS: m/z 541 (M+Na). Bis-N,N-[(Z)-2-carboxy-2-methyl-1,3-dioxane]-5-yloxycarbonyl-piperazine (2). Compound V (82 mg, 0.16 mmol ) was dissolved in methanol (2 mL) with a few drops of DCM and 2 M aqueous solution of NaOH (0.25 mL) was added. After 4 h at room temperature the mixture was neutralized with Dowex H+ resin, filtered and concentrated. The product was applied on HPLC (C-18) and eluted with 100% water, then lyophilized to provide 2 as a white foam (67 mg, 92%). 1H-NMR (D2O): δ 4.74-4.70 (m, 2 H, H-5), 4.10 (dd, 4 H, J4a,5=J5,6a=4.95 Hz, J4a,4e=J6a,6e=11.7 Hz, H-4e, H-6e), 3.68 (dd, 4 H, J4a,5=J5,6a=10.4 Hz, H-4a, H-6a), 3.44 (bs, 8 H, CH2N), 1.45 (s, 6 H, CH3), MS: m/z 485 (M+Na). Inhibition of binding of SAP to an immobilized D-proline derivative. Details of the assay are schematically delineated in Fig. 1. Polystyrene ELISA plates were coated with a solution of N-10-undecenoyl-D-proline (I) (1µg/mL, 100 µL) in 0.05 M carbonate buffer pH 9.8 and after overnight incubation at 4 oC the plates were washed (5x300 µL) with 10 mM Tris Buffer Saline pH 8 supplemented with 2.5 mM CaCl2 (TBS-Ca). SAP stock solution (2 µg/mL) was prepared by dilution of a 1 mg/mL solution (stabilized by 10 mmol EDTA) with TBS-Ca. Inhibitor in TBS-Ca (50 µL) at decreasing concentrations (starting at a concentration 0.1 M to as low as 5 nM, in steps by a 3.16 dilution factor) was mixed with SAP stock solution (50 µL). The mixtures were applied to the plates in triplicate and incubated for 2 h at room temperature. The wells were washed with TBS-Ca (5 x 300 µL). Monoclonal mouse anti-human SAP IgG (1:2000 dilution) in TBS-Ca (100 µL) was

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added to the wells and incubated for 1h at room temperature. The wells were washed with TBS-Ca (5 x 300 µL). Goat anti-mouse IgG labeled with hoarse radish peroxidase (1:2000 dilution) in TBS-Ca (100 µL) was added to the wells and incubated for 1h at room temperature. The wells were washed with TBS-Ca (5 x 300 µL). A solution of peroxidase substrate TMB (100 µL) was added and the reaction was quenched with H3PO4 after 2-5 min. Absorption was measured with an ELISA reader.

N

O

SAP

mouseanti-SAP

goatanti-mouse

HRP

substrate color

O

COOH

N

O

O

COOH

N

O

O

COOH

N

O

O

COOH

Figure 1. Bivalent inhibitor mediates face-to-face dimerization of SAP homopentamer thereby preventing SAP binding to D-proline, which is immobilized on the microtiter plate. The amount of plate-bound SAP is detected by a standard enzyme-linked antibody protocol. Reference 1. Gelas, J. and Thiallier, A. Recherches dans la serie des acetals cycliques : XII. Synthese du 4-oxo et de 4-hydroxy-3,6,8-trioxabicyclo[3.2.1]octanes Carbohydrate Research, 1973, 30 (1), 21-34.

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and Kenneth K.S. NgJason G.S. Ho, Pavel I. Kitov, Eugenia Paszkiewicz, Joanna Sadowska, David R. Bundle

by bivalent ligandsLigand-assisted aggregation of proteins: Dimerization of serum amyloid P component

published online July 20, 2005J. Biol. Chem.

10.1074/jbc.M504403200Access the most updated version of this article at doi:

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