Robustness in biological regulatory network III: Application to genetic networks controlling the morphogenesis

被引：3

作者：

Demongeot, Jacques ^{[1
]}

Waku, Jules ^{[1
,2
]}

机构：

[1] Univ Grenoble 1, Fac Med, AGIM CNRS UJF 3405, F-38700 La Tronche, France

[2] Univ Yaounde, LIRIMA UMMISCO, Fac Sci, Yaounde, Cameroon

来源：

COMPTES RENDUS MATHEMATIQUE | 2012年 / 350卷 / 5-6期

关键词：

BOUNDARY-CONDITIONS; PHASE-TRANSITIONS; STORAGE; RECALL;

D O I：

10.1016/j.crma.2012.01.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This Note deals with the mathematical notions of entropy and stability rate in interaction graphs of genetic networks, in the particular context of the genetic threshold Boolean random regulatory networks (getBrens). It is proved that in certain circumstances of particular connectance, the entropy of the invariant measure of the dynamical system can be considered both as a complexity and a stability index, by exploiting the link between these two notions, fundamental to characterize the resistance of a biological system against endogenous or exogenous perturbations, as in the case of the n-switches. Examples of biological networks are then given showing the practical interest of the mathematical notions of complexity and stability in the case of the control of the morphogenesis. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：289 / 292

页数：4

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