dorsal/arxiv
View SchemaApplication of Random Matrix Theory to Biological Networks
| Authors | Feng Luo, Jianxin Zhong, Yunfeng Yang, Richard H. Scheuermann, Jizhong Zhou |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0503035 |
| URL | https://arxiv.org/abs/q-bio/0503035 |
| DOI | 10.1016/j.physleta.2006.04.076 |
Abstract
We show that spectral fluctuation of interaction matrices of yeast a core protein interaction network and a metabolic network follows the description of the Gaussian orthogonal ensemble (GOE) of random matrix theory (RMT). Furthermore, we demonstrate that while the global biological networks evaluated belong to GOE, removal of interactions between constituents transitions the networks to systems of isolated modules described by the Poisson statistics of RMT. Our results indicate that although biological networks are very different from other complex systems at the molecular level, they display the same statistical properties at large scale. The transition point provides a new objective approach for the identification of functional modules.
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"abstract": "We show that spectral fluctuation of interaction matrices of yeast a core\nprotein interaction network and a metabolic network follows the description of\nthe Gaussian orthogonal ensemble (GOE) of random matrix theory (RMT).\nFurthermore, we demonstrate that while the global biological networks evaluated\nbelong to GOE, removal of interactions between constituents transitions the\nnetworks to systems of isolated modules described by the Poisson statistics of\nRMT. Our results indicate that although biological networks are very different\nfrom other complex systems at the molecular level, they display the same\nstatistical properties at large scale. The transition point provides a new\nobjective approach for the identification of functional modules.",
"arxiv_id": "q-bio/0503035",
"authors": [
"Feng Luo",
"Jianxin Zhong",
"Yunfeng Yang",
"Richard H. Scheuermann",
"Jizhong Zhou"
],
"categories": [
"q-bio.MN"
],
"doi": "10.1016/j.physleta.2006.04.076",
"title": "Application of Random Matrix Theory to Biological Networks",
"url": "https://arxiv.org/abs/q-bio/0503035"
},
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