Clustering Coefficients of Protein-Protein Interaction Networks

Details Clustering Coefficients of Protein-Protein Interaction Networks Clustering Coefficients of Protein-Protein Interaction Networks

2007-04-27

arxiv.org/abs/0704.3748v1

Phys. Rev. E 75, 051910 (2007)

Biology

Quantitative Biology

Quantitative Methods

16 pages, 3 figures, in Press PRE uses pdflatex

Scientific paper

10.1103/PhysRevE.75.051910

The properties of certain networks are determined by hidden variables that are not explicitly measured. The conditional probability (propagator) that a vertex with a given value of the hidden variable is connected to k of other vertices determines all measurable properties. We study hidden variable models and find an averaging approximation that enables us to obtain a general analytical result for the propagator. Analytic results showing the validity of the approximation are obtained. We apply hidden variable models to protein-protein interaction networks (PINs) in which the hidden variable is the association free-energy, determined by distributions that depend on biochemistry and evolution. We compute degree distributions as well as clustering coefficients of several PINs of different species; good agreement with measured data is obtained. For the human interactome two different parameter sets give the same degree distributions, but the computed clustering coefficients differ by a factor of about two. This shows that degree distributions are not sufficient to determine the properties of PINs.

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