Singular perturbation techniques and asymptotic expansions for some complex enzyme reactions
We summarize some recent results concerning the study of the asymptotic properties of four important enzyme reactions, which are ubiquitous in every
intracellular enzyme reaction network. Mainly following the fundamental ideas by Nayfeh, after ad hoc adimensionalizations, we apply classical singular perturbation
techniques in order to determine the matched expansions of the solutions, in terms of a suitable parameter, up to the first order. We show some numerical results, for
the different mechanisms and different parameter values.