Perturbation avalanches and criticality in gene regulatory networks

被引:82
|
作者
Ramo, P. [1 ]
Kesseli, J. [1 ]
Yli-Harja, O. [1 ]
机构
[1] Tampere Univ Technol, Inst Signal Proc, FIN-33101 Tampere, Finland
关键词
gene regulatory network; Boolean network; perturbation avalanche; criticality; branching process;
D O I
10.1016/j.jtbi.2006.02.011
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Boolean networks are simplified models of gene regulatory networks. We derive an approximation of the size distribution of perturbation avalanches in Boolean networks based on known results in the theory of branching processes. We show numerically that the approximation works well for different kinds of Boolean networks. It has been suggested that gene regulatory networks may be dynamically critical. To study this, as an application of the presented theory we present a novel method for estimating an order parameter from microarray data. According to the available data and our method, we find that gene regulatory networks appear to be stable and reside near the phase transition between order and chaos. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:164 / 170
页数:7
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