Stability analysis of a reduced transcription-translation model of RNA polymerase

Ismail Belgacem 1 Edith Grac 2 Delphine Ropers 2 Jean-Luc Gouzé 1
1 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
2 IBIS - Modeling, simulation, measurement, and control of bacterial regulatory networks
LAPM - Laboratoire Adaptation et pathogénie des micro-organismes [Grenoble], Inria Grenoble - Rhône-Alpes, Institut Jean Roget
Abstract : The aim of this paper is to analyse the dynamicalbehaviour of models of gene transcription-translation for thesynthesis of RNA polymerase in a cell, with a closed loopfrom the produced RNA polymerase (end-product) to thetranscription step (RNA polymerase is needed to transcribe itsown gene). Using monotone system theory we study a reducedversion of this model with two variables (mRNA and protein),and show that it has either a single globally stable trivialequilibrium in (0, 0), or has an unstable zero equilibrium anda globally stable positive one. This dynamical behaviour can berelated to biological observations on the bacterium Escherichiacoli.
Type de document :
Communication dans un congrès
Proceedings of the 53rd IEEE Conference on Decision and Control, Dec 2014, Los Angeles, CA, United States. 2014
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https://hal.inria.fr/hal-01091674
Contributeur : Jean-Luc Gouzé <>
Soumis le : vendredi 5 décembre 2014 - 17:49:01
Dernière modification le : mardi 29 mai 2018 - 12:50:54

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  • HAL Id : hal-01091674, version 1

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Ismail Belgacem, Edith Grac, Delphine Ropers, Jean-Luc Gouzé. Stability analysis of a reduced transcription-translation model of RNA polymerase. Proceedings of the 53rd IEEE Conference on Decision and Control, Dec 2014, Los Angeles, CA, United States. 2014. 〈hal-01091674〉

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