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Conference Papers Year : 2014

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

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.
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Dates and versions

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

Identifiers

  • HAL Id : hal-01091674 , version 1

Cite

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⟩
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