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Reduction and Stability Analysis of a Transcription-Translation Model of RNA Polymerase.
Belgacem, Ismail; Casagranda, Stefano; Grac, Edith; Ropers, Delphine; Gouzé, Jean-Luc.
Afiliação
  • Belgacem I; Université Côte d'Azur, Inria, INRA, CNRS, UPMC Univ Paris 06, Biocore team, Sophia Antipolis, France.
  • Casagranda S; Université Côte d'Azur, Inria, INRA, CNRS, UPMC Univ Paris 06, Biocore team, Sophia Antipolis, France. stefano.casagranda@inria.fr.
  • Grac E; Univ. Grenoble - Alpes, Inria, Grenoble, France.
  • Ropers D; Univ. Grenoble - Alpes, Inria, Grenoble, France.
  • Gouzé JL; Université Côte d'Azur, Inria, INRA, CNRS, UPMC Univ Paris 06, Biocore team, Sophia Antipolis, France.
Bull Math Biol ; 80(2): 294-318, 2018 02.
Article em En | MEDLINE | ID: mdl-29214429
The aim of this paper is to analyze the dynamical behavior of biological models of gene transcription and translation. We focus on a particular positive feedback loop governing the synthesis of RNA polymerase, needed for transcribing its own gene. We write a high-dimension model based on mass action laws and reduce it to a two-variable model (RNA polymerase and its mRNA) by means of monotone system theory and timescale arguments. We show that the reduced model has either a single globally stable trivial equilibrium in (0, 0), or an unstable zero equilibrium and a globally stable positive one. We give generalizations of this model, notably with a variable growth rate. The dynamical behavior of this system can be related to biological observations on the bacterium Escherichia coli.
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Texto completo: 1 Base de dados: MEDLINE Assunto principal: RNA Polimerases Dirigidas por DNA / Modelos Biológicos Tipo de estudo: Prognostic_studies Idioma: En Ano de publicação: 2018 Tipo de documento: Article

Texto completo: 1 Base de dados: MEDLINE Assunto principal: RNA Polimerases Dirigidas por DNA / Modelos Biológicos Tipo de estudo: Prognostic_studies Idioma: En Ano de publicação: 2018 Tipo de documento: Article