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Title: Random matrix analysis of localization properties of gene coexpression network
Authors: Jalan, S. 
Solymosi, N.
Vattay, G.
Li, B. 
Issue Date: 28-Apr-2010
Citation: Jalan, S., Solymosi, N., Vattay, G., Li, B. (2010-04-28). Random matrix analysis of localization properties of gene coexpression network. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 81 (4) : -. ScholarBank@NUS Repository.
Abstract: We analyze gene coexpression network under the random matrix theory framework. The nearest-neighbor spacing distribution of the adjacency matrix of this network follows Gaussian orthogonal statistics of random matrix theory (RMT). Spectral rigidity test follows random matrix prediction for a certain range and deviates afterwards. Eigenvector analysis of the network using inverse participation ratio suggests that the statistics of bulk of the eigenvalues of network is consistent with those of the real symmetric random matrix, whereas few eigenvalues are localized. Based on these IPR calculations, we can divide eigenvalues in three sets: (a) The nondegenerate part that follows RMT. (b) The nondegenerate part, at both ends and at intermediate eigenvalues, which deviates from RMT and expected to contain information about important nodes in the network. (c) The degenerate part with zero eigenvalue, which fluctuates around RMT-predicted value. We identify nodes corresponding to the dominant modes of the corresponding eigenvectors and analyze their structural properties. © 2010 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
ISSN: 15393755
DOI: 10.1103/PhysRevE.81.046118
Appears in Collections:Staff Publications

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