Skip to Main content Skip to Navigation
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
INRA - Institut National de la Recherche Agronomique, CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche
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

https://hal.inria.fr/hal-00848438
Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Wednesday, August 7, 2013 - 5:04:17 PM
Last modification on : Tuesday, October 19, 2021 - 7:00:33 PM
Long-term archiving on: : Friday, November 8, 2013 - 2:50:12 AM

File

enzactabiorev2finalNdiayeGouze...
Files produced by the author(s)

Identifiers

Citation

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

Share

Metrics

Record views

662

Files downloads

3662