Singular perturbation techniques and asymptotic expansions for some complex enzyme reactions
04 Pubblicazione in atti di convegno
Bersani A. M., Borri A., Milanesi A., Tomassetti G., Vellucci P.
We show some recent results related to the application of singular perturbation techniques in the framework
of the so-called total quasi-steady-state approximation (tQSSA) for the approximation of some important enzyme reactions:
the fully competitive inhibition, the Goldbeter-Koshland cycle, the double phosphorylation mechanism. We determine the
uniform expansions up to the first order in terms of appropriate perturbation parameters, related to the initial conditions and
to the kinetic parameters characterizing the reactions.