scaling laws in the bacterial genomic repertoires - eleonora de lazzari

11
QUANTITATIVE LAWS, Week 2 Scaling laws in the bacterial genomic repertoires. Eleonora De Lazzari Université Pierre-et-Marie-Curie - Laboratory of Computational and Quantitative Biology

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Page 1: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

QUANTITATIVE LAWS, Week 2

Scaling laws in the bacterial genomic repertoires.

Eleonora De LazzariUniversité Pierre-et-Marie-Curie - Laboratory of Computational and Quantitative Biology

Page 2: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

Genomic repertoires as modular systems

Functional categories

Evolutionary categories(domain-families)

Genome

components

realization

Page 3: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

Scaling Laws in Genomics

Functional categories

Evolutionary categories

~ 1000 bacterial genomes

Page 4: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

Scaling Laws in Genomics

nC ~ nβC

βMET ~ 1

βTF ~ 2

βTRANSL ~ const.

103 104100

101

102

103

104

Metabolism

Translation

Transcr. regulation

Fun

ctio

nal C

ateg

ory

Siz

e (n

C)

Genome Size (n)

[VanNimwegen 2003, TRENDS in Genetics]

Functional categories

Evolutionary categories

~ 1000 bacterial genomes

components =

size = #domains

Page 5: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

Scaling Laws in Genomics

nC ~ nβC

βMET ~ 1

βTF ~ 2

βTRANSL ~ const.

103 104100

101

102

103

104

Metabolism

Translation

Transcr. regulation

Fun

ctio

nal C

ateg

ory

Siz

e (n

C)

Genome Size (n)

[VanNimwegen 2003, TRENDS in Genetics]

Functional categories

Evolutionary categories

~ 1000 bacterial genomes

components =

How does the abundance of genes performing specific functions emerge from evolutionary moves at

the family level?

Page 6: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

Do domain-families have scaling laws?

functional category (Transferases)βC = 1

TK C-terminal domain-like Acyl-CoA N-acyltransferases

103 104100

101

102

fam

ily s

ize

(ni)

genome size (n)

β = 0.6

genome size (n)fa

mily

siz

e (n

i)

103 104100

101

102

β = 1.6

yes, but often different from the category!

size = # domains

Page 7: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

How do family-scalings sum?

Few highly populated families determine the scaling of the whole TF category.

Transcription Factors

2.5

1.5

0.5

-0.5

0 5 10 15 20 25 30

Exp

onen

t

Rank in domain abundance

5th biggest familyfuncional cat. without the first 5 families

Page 8: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

To what extent a range of family exponents is peculiar to a functional category?

Method:

Grouping families with similar exp. shows known associations and reveal new one:

0.0 0.8 1.60.0

0.5

1.0

1.5

2.0protein modification

transferases

signal transduction

DNA-binding

translation

β*

category exp βC

families with similar exp:[β*-δ, β*+δ]

over-represented

∩Zscore > 2

under-represented

Zscore < 2

Functional categoryβC

β*

Page 9: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

To what extent a range of family exponents is peculiar to a functional category?

Grouping families with similar exp. shows known associations and reveal new one:

0.0 0.8 1.60.0

0.5

1.0

1.5

2.0protein modification

transferases

signal transduction

DNA-binding

translation

β*

category exp βC

Exp

onen

t

Rank in domain abundance

ATPase domain of HSP90 chaperone / DNA topoisomerase II / histidine kinase

0 10 15

0

1

2

Page 10: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

To what extent a range of family exponents is peculiar to a functional category?

Grouping families with similar exp. shows known associations and reveal new one:

0.0 0.8 1.60.0

0.5

1.0

1.5

2.0protein modification

transferases

signal transduction

DNA-binding

translation

β*

category exp βC

unknown function

nucleotide metabolism and transport

Other outliers:

Page 11: Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari

Marco Cosentino LagomarsinoCNRS, UMR 7238, Paris, France

Jacopo GrilliDepartment of Ecology and Evolution, University of Chicago, 1101 E 57th st 60637 Chicago, IL

Sergei MaslovBioengineering Department, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Thank you !