Global stability of reversible enzymatic metabolic chains - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Acta Biotheoretica Year : 2012

Global stability of reversible enzymatic metabolic chains


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.
Fichier principal
Vignette du fichier
enzactabiorev2finalNdiayeGouzeversionauteur.pdf (118.21 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00848438 , version 1 (07-08-2013)



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⟩
225 View
5421 Download



Gmail Facebook X LinkedIn More