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
收藏
页码：289 / 292
页数：4
相关论文
共 50 条
  • [21] Global genetic regulatory networks controlling hematopoietic cell fates
    Loose, Matthew
    Patient, Roger
    CURRENT OPINION IN HEMATOLOGY, 2006, 13 (04) : 229 - 236
  • [22] Genetic Network Analyzer: qualitative simulation of genetic regulatory networks
    de Jong, H
    Geiselmann, J
    Hernandez, C
    Page, M
    BIOINFORMATICS, 2003, 19 (03) : 336 - 344
  • [23] The central regulatory circuit in the gene network controlling the morphogenesis of Drosophila mechanoreceptors: an in silico analysis
    Bukharina, T. A.
    Golubyatnikov, V. P.
    Furman, D. P.
    VAVILOVSKII ZHURNAL GENETIKI I SELEKTSII, 2023, 27 (07): : 746 - 754
  • [24] Application of dynamic programming in genetic regulatory networks
    Datta, A
    Choudhary, A
    Bittner, ML
    Dougherty, ER
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 2817 - 2822
  • [25] Evidence for the relationship between the regulatory effects of microRNAs and attack robustness of biological networks
    Ahmadi, Mehdi
    Jafari, Rahim
    Marashi, Sayed-Amir
    Farazmand, Ali
    COMPUTERS IN BIOLOGY AND MEDICINE, 2015, 63 : 83 - 91
  • [26] The use of machine learning to discover regulatory networks controlling biological systems
    Erbe, Rossin
    Gore, Jessica
    Gemmill, Kelly
    Gaykalova, Daria A.
    Fertig, Elana J.
    MOLECULAR CELL, 2022, 82 (02) : 260 - 273
  • [27] The effect of scale-free topology on the robustness and evolvability of genetic regulatory networks
    Greenbury, Sam F.
    Johnston, Iain G.
    Smith, Matthew A.
    Doye, Jonathan P. K.
    Louis, Ard A.
    JOURNAL OF THEORETICAL BIOLOGY, 2010, 267 (01) : 48 - 61
  • [28] Centrality Analysis Methods for Biological Networks and Their Application to Gene Regulatory Networks
    Koschutzki, Dirk
    Schreiber, Falk
    GENE REGULATION AND SYSTEMS BIOLOGY, 2008, 2 : 193 - 201
  • [29] The Underlying Molecular and Network Level Mechanisms in the Evolution of Robustness in Gene Regulatory Networks
    Pujato, Mario
    MacCarthy, Thomas
    Fiser, Andras
    Bergman, Aviv
    PLOS COMPUTATIONAL BIOLOGY, 2013, 9 (01)
  • [30] Application of Evolutionary Algorithms for the Optimization of Genetic Regulatory Networks
    Rosati, Elise
    Madec, Morgan
    Rezgui, Abir
    Colman, Quentin
    Toussaint, Nicolas
    Lallement, Christophe
    Collet, Pierre
    APPLICATIONS OF EVOLUTIONARY COMPUTATION, EVOAPPLICATIONS 2016, PT I, 2016, 9597 : 184 - 200
12345