Asymptotic expansions beyond the tQSSA for the double phosphorylation mechanism

Alberto M. Bersani, Alessandro Borri, Giovanna Tomassetti and Pierluigi Vellucci

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 233, issue C, 137-164

Abstract: In this paper we study the asymptotic properties of the mathematical model of the double phosphorylation (dephosphorylation) enzymatic reaction, or futile cycle. Starting from the total quasi-steady state approximation (tQSSA), and applying singular perturbation techniques, we determine the inner and outer solutions and the corresponding matched expansions, up to the first order, in terms of an appropriate perturbation parameter ϵ (related to the kinetic constants and initial conditions of the model). Some numerical results are discussed.

Keywords: Double phosphorylation; Michaelis–Menten kinetics; Singular perturbations; Asymptotic expansions; Total quasi-steady state approximation; Center manifold (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:233:y:2025:i:c:p:137-164

DOI: 10.1016/j.matcom.2025.01.019

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