dorsal/arxiv
View SchemaDuplication-divergence model of protein interaction network
| Authors | I. Ispolatov, P. L. Krapivsky, A. Yuryev |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0411052 |
| URL | https://arxiv.org/abs/q-bio/0411052 |
| DOI | 10.1103/PhysRevE.71.061911 |
| Journal | Phys. Rev. E 71, 061911 (2005) |
Abstract
We 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.
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"abstract": "We show that the protein-protein interaction networks can be surprisingly\nwell described by a very simple evolution model of duplication and divergence.\nThe model exhibits a remarkably rich behavior depending on a single parameter,\nthe probability to retain a duplicated link during divergence. When this\nparameter is large, the network growth is not self-averaging and an average\nvertex degree increases algebraically. The lack of self-averaging results in a\ngreat diversity of networks grown out of the same initial condition. For small\nvalues of the link retention probability, the growth is self-averaging, the\naverage degree increases very slowly or tends to a constant, and a degree\ndistribution has a power-law tail.",
"arxiv_id": "q-bio/0411052",
"authors": [
"I. Ispolatov",
"P. L. Krapivsky",
"A. Yuryev"
],
"categories": [
"q-bio.MN",
"cond-mat.dis-nn",
"q-bio.BM"
],
"doi": "10.1103/PhysRevE.71.061911",
"journal_ref": "Phys. Rev. E 71, 061911 (2005)",
"title": "Duplication-divergence model of protein interaction network",
"url": "https://arxiv.org/abs/q-bio/0411052"
},
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