Global stability of enzymatic chain of full reversible Michaelis-Menten reactions - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Acta Biotheoretica Année : 2013

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

Résumé

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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Dates et versions

hal-00850369 , version 1 (06-08-2013)

Identifiants

Citer

Ismail Belgacem, Jean-Luc Gouzé. Global stability of enzymatic chain of full reversible Michaelis-Menten reactions. Acta Biotheoretica, 2013, 61 (3), pp.425-436. ⟨10.1007/s10441-013-9195-3⟩. ⟨hal-00850369⟩
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