Rewriting Game Theory as a Foundation for State-Based Models of Gene Regulation

Chafika Chettaoui; Franck Delaplace; Pierre Lescanne; Mun'delanji Vestergaard; René Vestergaard

hal-00339691, version 1

Rewriting Game Theory as a Foundation for State-Based Models of Gene Regulation

Chafika Chettaoui () ¹, Franck Delaplace () ¹, Pierre Lescanne () ², Mun'delanji Vestergaard () ³, René Vestergaard () ³

Computational Methods in Systems Biology (CMSB) 4210 (2006) 257--270

Abstract: We present a game-theoretic foundation for gene regulatory analysis based on the recent formalism of rewriting game theory. Rewrit- ing game theory is discrete and comes with a graph-based framework for understanding compromises and interactions between players and for computing Nash equilibria. The formalism explicitly represents the dy- namics of its Nash equilibria and, therefore, is a suitable foundation for the study of steady states in discrete modelling. We apply the formalism to the discrete analysis of gene regulatory networks introduced by R. Thomas and S. Kauffman. Specifically, we show that their models are specific instances of a C/P game deduced from the K parameter.

1: Informatique, Biologie Intégrative et Systèmes Complexes (IBISC)
CNRS : FRE3190 – Université d'Evry-Val d'Essonne
2: Laboratoire de l'Informatique du Parallélisme (LIP)
Université de Lyon – CNRS : UMR5668 – INRIA – École Normale Supérieure - Lyon – Université Claude Bernard - Lyon I
3: Japan Advanced Institute of Science and Technology (JAIST)
JAIST

hal-00339691, version 1
http://hal.archives-ouvertes.fr/hal-00339691
oai:hal.archives-ouvertes.fr:hal-00339691
From: Frédéric Davesne <>
Submitted on: Tuesday, 18 November 2008 15:49:23
Updated on: Wednesday, 19 November 2008 00:27:13

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DOI: 10.1007/11885191_18

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