Skip to Main content Skip to Navigation
New interface
Journal articles

Global stability of reversible enzymatic metabolic chains

Ibrahima Ndiaye 1 Jean-Luc Gouzé 1, * 
* Corresponding author
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
Abstract : We consider metabolic networks with reversible enzymatic reactions. The model is written as a system of ordinary differential equations, possibly with inputs and outputs. We prove the global stability of the equilibrium (if it exists), using techniques of monotone systems and compartmental matrices. We show that the equilibrium does not always exist. Finally, we consider a metabolic system coupled with a genetic network, and we study the dependence of the metabolic equilibrium (if it exists) with respect to concentrations of enzymes. We give some conclusions concerning the dynamical behavior of coupled genetic/metabolic systems.
Complete list of metadata

Cited literature [24 references]  Display  Hide  Download
Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Wednesday, August 7, 2013 - 5:04:17 PM
Last modification on : Saturday, June 25, 2022 - 11:10:48 PM
Long-term archiving on: : Friday, November 8, 2013 - 2:50:12 AM


Files produced by the author(s)



Ibrahima Ndiaye, Jean-Luc Gouzé. Global stability of reversible enzymatic metabolic chains. Acta Biotheoretica, 2012, 61 (1), pp.41-57. ⟨10.1007/s10441-013-9171-y⟩. ⟨hal-00848438⟩



Record views


Files downloads