Global stability of enzymatic chains of full reversible Michaelis-Menten reactions.
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.
INRIA, BIOCORE project-team, 2004 Route des Lucioles, BP 93, 06902, Sophia Antipolis, France, ismail.belgacem@inria.fr.
Ismail
I
Belgacem
Jean-Luc
JL
Gouzé
D055162:Biocatalysis; D004798:Enzymes / Q000378:metabolism*; D015233:Models, Statistical
D004798:Enzymes