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18 April 2024
 
  » arxiv » q-bio.MN/0411052

 Article overview


Duplication-divergence model of protein interaction network
I.Ispolatov ; P.L.Krapivsky ; A.Yuryev ;
Date 30 Nov 2004
Journal Phys. Rev. E 71, 061911 (2005)
Subject Molecular Networks; Biomolecules; Disordered Systems and Neural Networks | q-bio.MN cond-mat.dis-nn q-bio.BM
AbstractWe show that the protein-protein interaction networks can be surprisingly well described by a very simple evolution model of duplication and divergence. The model exhibits a remarkably rich behavior depending on a single parameter, the probability to retain a duplicated link during divergence. When this parameter is large, the network growth is not self-averaging and an average vertex degree increases algebraically. The lack of self-averaging results in a great diversity of networks grown out of the same initial condition. For small values of the link retention probability, the growth is self-averaging, the average degree increases very slowly or tends to a constant, and a degree distribution has a power-law tail.
Source arXiv, q-bio.MN/0411052
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