Alberto M. Bersani , Alessandro Borri , Giovanna Tomassetti , Pierluigi Vellucci
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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 (related to the kinetic constants and initial conditions of the model). Some numerical results are discussed.
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The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles.
Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO.
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