Uniform asymptotic expansions beyond the tQSSA for the Goldbeter-Koshland switch
In this paper we study the mathematical model of the Goldbeter--Koshland switch, or
futile cycle, which is a mechanism that describes several chemical reactions, in particular the so-called
phosphorylation-dephosphorylation cycle. We determine the appropriate perturbation parameter epsilon
(related to the kinetic constants and initial conditions of the model) for the application of singular
perturbation techniques. We also determine the inner and outer solutions and the corresponding