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Journal Articles Acta Biotheoretica Year : 2012

Global stability of reversible enzymatic metabolic chains

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.
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Dates and versions

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

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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⟩
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