Application of random matrix theory to microarray data for discovering functional gene modules

被引:71
作者
Luo, F
Zhong, JX [1 ]
Yang, YF
Zhou, JZ
机构
[1] Xiangtan Univ, Dept Phys, Xiangtan 411105, Peoples R China
[2] Clemson Univ, Dept Comp Sci, Clemson, SC 29634 USA
[3] Oak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA
[4] Oak Ridge Natl Lab, Div Environm Sci, Oak Ridge, TN 37831 USA
[5] Univ Oklahoma, Dept Bot & Microbiol, Norman, OK 73019 USA
来源
PHYSICAL REVIEW E | 2006年 / 73卷 / 03期
关键词
D O I
10.1103/PhysRevE.73.031924
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We show that spectral fluctuation of coexpression correlation matrices of yeast gene microarray profiles follows the description of the Gaussian orthogonal ensemble (GOE) of the random matrix theory (RMT) and removal of small values of the correlation coefficients results in a transition from the GOE statistics to the Poisson statistics of the RMT. This transition is directly related to the structural change of the gene expression network from a global network to a network of isolated modules.
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页数:5
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共 19 条
[1]   Network biology:: Understanding the cell's functional organization [J].
Barabási, AL ;
Oltvai, ZN .
NATURE REVIEWS GENETICS, 2004, 5 (02) :101-U15
[2]   CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].
BOHIGAS, O ;
GIANNONI, MJ ;
SCHMIT, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4
[3]   Cluster analysis and display of genome-wide expression patterns [J].
Eisen, MB ;
Spellman, PT ;
Brown, PO ;
Botstein, D .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1998, 95 (25) :14863-14868
[4]   BioLayout - an automatic graph layout algorithm for similarity visualization [J].
Enright, AJ ;
Ouzounis, CA .
BIOINFORMATICS, 2001, 17 (09) :853-854
[5]   Genomic expression programs in the response of yeast cells to environmental changes [J].
Gasch, AP ;
Spellman, PT ;
Kao, CM ;
Carmel-Harel, O ;
Eisen, MB ;
Storz, G ;
Botstein, D ;
Brown, PO .
MOLECULAR BIOLOGY OF THE CELL, 2000, 11 (12) :4241-4257
[6]   From molecular to modular cell biology [J].
Hartwell, LH ;
Hopfield, JJ ;
Leibler, S ;
Murray, AW .
NATURE, 1999, 402 (6761) :C47-C52
[7]   STATISTICAL PROPERTIES OF THE EIGENVALUE SPECTRUM OF THE 3-DIMENSIONAL ANDERSON HAMILTONIAN [J].
HOFSTETTER, E ;
SCHREIBER, M .
PHYSICAL REVIEW B, 1993, 48 (23) :16979-16985
[8]   Functional discovery via a compendium of expression profiles [J].
Hughes, TR ;
Marton, MJ ;
Jones, AR ;
Roberts, CJ ;
Stoughton, R ;
Armour, CD ;
Bennett, HA ;
Coffey, E ;
Dai, HY ;
He, YDD ;
Kidd, MJ ;
King, AM ;
Meyer, MR ;
Slade, D ;
Lum, PY ;
Stepaniants, SB ;
Shoemaker, DD ;
Gachotte, D ;
Chakraburtty, K ;
Simon, J ;
Bard, M ;
Friend, SH .
CELL, 2000, 102 (01) :109-126
[9]   Expression monitoring by hybridization to high-density oligonucleotide arrays [J].
Lockhart, DJ ;
Dong, HL ;
Byrne, MC ;
Follettie, MT ;
Gallo, MV ;
Chee, MS ;
Mittmann, M ;
Wang, CW ;
Kobayashi, M ;
Horton, H ;
Brown, EL .
NATURE BIOTECHNOLOGY, 1996, 14 (13) :1675-1680
[10]  
LUO F, UNPUB