# Hierarchical analysis of piecewise affine models of gene regulatory networks

1 COMORE - Modeling and control of renewable resources
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We propose in this report a method for the qualitative analysis of the dynamics of piecewise affine models of gene regulatory networks. Especially adapted to the framework of piecewise affine dynamical systems, this method is based on the hierarchical organization of such systems, using the well-known algorithm of decomposition of the interaction graph into strongly connected components. In certain cases, this decomposition allows to reduce the study of the asymptotic dynamics of a high dimensional system into the one of several lower dimensional subsystems. Allied to a threshold elimination algorithm as a pre-processing treatment, this method is applied to a $9$-dimensional system modeling the nutritional stress response of the bacterium \textit{E. coli}. In this case, we manage to reduce the analysis of the whole system to the analysis of a $3$-dimensional subsystem.
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Rapport
[Research Report] RR-6189, INRIA. 2007, pp.22

Littérature citée [22 références]

https://hal.inria.fr/inria-00145357
Contributeur : Rapport de Recherche Inria <>
Soumis le : lundi 14 mai 2007 - 09:41:26
Dernière modification le : mardi 29 mai 2018 - 12:50:49
Document(s) archivé(s) le : mardi 21 septembre 2010 - 12:41:49

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• HAL Id : inria-00145357, version 2

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Laurent Tournier, Jean-Luc Gouzé. Hierarchical analysis of piecewise affine models of gene regulatory networks. [Research Report] RR-6189, INRIA. 2007, pp.22. 〈inria-00145357v2〉

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