Application of Random Matrix Theory to Biological Networks

Details Application of Random Matrix Theory to Biological Networks Application of Random Matrix Theory to Biological Networks

2005-03-22

arxiv.org/abs/q-bio/0503035v1

Biology

Quantitative Biology

Molecular Networks

3 pages, 2 figures

Scientific paper

10.1016/j.physleta.2006.04.076

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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