Global Stability of Full Open Reversible Michaelis-Menten Reactions

Ismail Belgacem 1 Jean-Luc Gouzé 1
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 the full closed and open Michaelis-Menten enzymatic reactions. 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. Then we consider an open chain of reversible metabolic reactions and also prove global stability. Our mathematical tools are monotone systems theory and compartmental systems theory.
Type de document :
Communication dans un congrès
8th IFAC Symposium Advanced Control of Chemical Processes (ADCHEM), 2012, Furama Riverfront, Singapore. 8, pp.591--596, 2012, 〈10.3182/20120710-4-SG-2026.00039〉
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https://hal.inria.fr/hal-00848384
Contributeur : Jean-Luc Gouzé <>
Soumis le : vendredi 26 juillet 2013 - 10:29:20
Dernière modification le : jeudi 11 janvier 2018 - 16:19:55

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Ismail Belgacem, Jean-Luc Gouzé. Global Stability of Full Open Reversible Michaelis-Menten Reactions. 8th IFAC Symposium Advanced Control of Chemical Processes (ADCHEM), 2012, Furama Riverfront, Singapore. 8, pp.591--596, 2012, 〈10.3182/20120710-4-SG-2026.00039〉. 〈hal-00848384〉

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