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Continuum Mechanics and Thermodynamics
Published in: Continuum Mechanics and Thermodynamics 3/2021

02-01-2021 | Original Article

Asymptotics and numerical analysis for enzymatic auxiliary reactions

Authors: Alberto Maria Bersani, Alessandro Borri, Maria Elisa Tosti

Published in: Continuum Mechanics and Thermodynamics | Issue 3/2021

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Abstract

In this paper we study the mathematical model of auxiliary (or coupled) reactions, a mechanism which describes several chemical reactions. In order to apply singular perturbation techniques, we determine an appropriate perturbation parameter \(\epsilon \) (which is related to the kinetic constants and initial conditions of the model), the inner and outer solutions and the matched expansions of the solutions, up to the first order in \(\epsilon \), in the total quasi-steady-state approximation (tQSSA) framework. The contribution of these expansions can be useful for the estimation of the kinetic parameters of the reaction by means of the interpolation of experimental data with the explicit approximations of the solutions. Some numerical results are discussed, showing the high reliability of the tQSSA with respect to the standard QSSA.
previous article Density–orientation coupling for a microcontinuum approach to nematic liquid crystals subject to electric field

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Metadata
Title
Asymptotics and numerical analysis for enzymatic auxiliary reactions
Authors
Alberto Maria Bersani
Alessandro Borri
Maria Elisa Tosti
Publication date
02-01-2021
Publisher
Springer Berlin Heidelberg
Published in
Continuum Mechanics and Thermodynamics / Issue 3/2021
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-020-00962-5

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