Global stability of enzymatic chain of full reversible Michaelis-Menten reactions

Ismail Belgacem 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 a chain of metabolic reactions catalyzed by enzymes, of reversible Michaelis-Menten type with full dynamics, i.e. not reduced with any quasi- steady state approximations. We study the corresponding dynamical system and show its global stability if the equilibrium exists. If the system is open, the equilibrium may not exist. The main tool is monotone systems theory. Finally we study the implications of these results for the study of coupled genetic-metabolic systems.
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Ismail Belgacem, Jean-Luc Gouzé. Global stability of enzymatic chain of full reversible Michaelis-Menten reactions. Acta Biotheoretica, Springer Verlag, 2013, 61 (3), pp.425-436. ⟨10.1007/s10441-013-9195-3⟩. ⟨hal-00850369⟩

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