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Scaling laws in the bacterial genomic repertoires - Eleonora De Lazzari
1. 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
2. Genomic repertoires as modular systems
Functional categories
Evolutionary categories
(domain-families)
Genome
components
realization
5. Scaling Laws in Genomics
nC ~ nβC
βMET ~ 1
βTF ~ 2
βTRANSL ~ const.
10
3
10
410
0
10
1
10
2
10
3
10
4
Metabolism
Translation
Transcr. regulation
FunctionalCategorySize(nC)
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?
6. Do domain-families have scaling laws?
functional category (Transferases)
βC = 1
TK C-terminal domain-like Acyl-CoA N-acyltransferases
10
3
10
4
10
0
10
1
10
2
familysize(ni)
genome size (n)
β = 0.6
genome size (n)
familysize(ni)
10
3
10
4
10
0
10
1
10
2
β
=
1.6
yes, but often different from the category!
size = # domains
7. 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
Exponent
Rank in domain abundance
5th biggest family
funcional cat. without
the first 5 families
8. 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 1.6
0.0
0.5
1.0
1.5
2.0
protein 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
category
βC
β*
9. 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 1.6
0.0
0.5
1.0
1.5
2.0
protein modification
transferases
signal transduction
DNA-binding
translation
β*
category exp βC
Exponent
Rank in domain abundance
ATPase domain of HSP90 chaperone /
DNA topoisomerase II / histidine kinase
0 10 15
0
1
2
10. 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 1.6
0.0
0.5
1.0
1.5
2.0
protein modification
transferases
signal transduction
DNA-binding
translation
β*
category exp βC
unknown function
nucleotide metabolism
and transport
Other outliers:
11. Marco Cosentino Lagomarsino
CNRS, UMR 7238, Paris, France
Jacopo Grilli
Department of Ecology and Evolution, University of Chicago,
1101 E 57th st 60637 Chicago, IL
Sergei Maslov
Bioengineering Department, University of Illinois at Urbana-
Champaign, Urbana, IL 61801
Thank you !