Stability analysis of a reduced transcription-translation model of RNA polymerase - Université Pierre et Marie Curie Accéder directement au contenu
Communication Dans Un Congrès Année : 2014

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

Résumé

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.
Fichier non déposé

Dates et versions

hal-01091674 , version 1 (05-12-2014)

Identifiants

  • HAL Id : hal-01091674 , version 1

Citer

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. ⟨hal-01091674⟩
147 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More