Mathematical study of the global dynamics of a concave gene expression model - Université Pierre et Marie Curie Accéder directement au contenu
Communication Dans Un Congrès Année : 2014

Mathematical study of the global dynamics of a concave gene expression model

Résumé

We describe in this paper the global dynamical behavior of a mathematical model of expression of polymerase in bacteria. This model is given by a differential system and algebraic equations. We use some tools from monotone systems theory with concavity of nonlinearities to obtain a global qualitative result: either the trivial equilibrium is globally stable, either there exists a unique positive equilibrium which is globally stable in the positive orthant. The same result holds for a class of qualitatively defined functions. Some generalizations of this result are given.
Fichier non déposé

Dates et versions

hal-01091655 , version 1 (05-12-2014)

Identifiants

Citer

Ismail Belgacem, Jean-Luc Gouzé. Mathematical study of the global dynamics of a concave gene expression model. 22nd Mediterranean Conference of Control and Automation (MED), Jun 2014, Palermo, Italy. ⟨10.1109/MED.2014.6961562⟩. ⟨hal-01091655⟩
118 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More