Stability analysis for bacterial linear metabolic pathways with monotone control system theory
Résumé
In this work we give technical conditions which guarantee the global attractivity of bacterial linear metabolic pathways (reversible and irreversible structures) where both genetic and enzymatic controls involve the end product through metabolic effectors. To reach this goal, we use the negative feedback theorem of the monotone control systems theory, and we represent all conditions needed to apply the negative feedback theorem to the bacterial linear metabolic pathways in convenient deduced forms.
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