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Stability analysis and reduction of gene transcription models

Ismail Belgacem 1 Jean-Luc Gouzé 1
1 BIOCORE - Biological control of artificial ecosystems
INRA - Institut National de la Recherche Agronomique, CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche
Abstract : The aim of this paper is to analyze the dynamical behaviour of models of gene transcription in a cell, developed in Kremling (2007), which are a detailed representation of transcription process from DNA to RNA with action of polymerase. Using monotone system theory and compartmental systems theory, we study several versions of these models. We use our results of global stability to show that, under assumptions of time scales separation, it is possible to reduce the models to much smaller ones.
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https://hal.inria.fr/hal-00850368
Contributor : Jean-Luc Gouzé <>
Submitted on : Tuesday, August 6, 2013 - 12:56:07 PM
Last modification on : Friday, June 25, 2021 - 3:36:17 AM

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  • HAL Id : hal-00850368, version 1

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Ismail Belgacem, Jean-Luc Gouzé. Stability analysis and reduction of gene transcription models. 52nd IEEE Conference on Decision and Control (CDC'13), Dec 2013, Florence, Italy. ⟨hal-00850368⟩

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