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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.
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Submitted on : Friday, July 26, 2013 - 10:29:20 AM
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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. pp.591--596, ⟨10.3182/20120710-4-SG-2026.00039⟩. ⟨hal-00848384⟩



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