In this paper we study the model of the chemical reaction of fully competitive inhibition and determine the appropriate parameter ∈ (related to the chemical constants of the model), for the application of singular perturbation techniques. We determine the inner and the outer solutions up to the first perturbation order and the uniform expansions. Some numerical results are discussed.

A study case for the analysis of asymptotic expansions beyond the tQSSA for inhibitory mechanisms in enzyme kinetics / Bersani, A. M.; Borri, A.; Milanesi, A.; Tomassetti, G.; Vellucci, P.. - In: COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS. - ISSN 2038-0909. - 10:1(2019), pp. 162-181. [10.1515/caim-2019-0019]

A study case for the analysis of asymptotic expansions beyond the tQSSA for inhibitory mechanisms in enzyme kinetics

Bersani A. M.;Milanesi A.;Vellucci P.
2019

Abstract

In this paper we study the model of the chemical reaction of fully competitive inhibition and determine the appropriate parameter ∈ (related to the chemical constants of the model), for the application of singular perturbation techniques. We determine the inner and the outer solutions up to the first perturbation order and the uniform expansions. Some numerical results are discussed.
Asymptotic Expansions; Enzyme Kinetics; Inhibition; Singular Perturbation Theory
01 Pubblicazione su rivista::01a Articolo in rivista
A study case for the analysis of asymptotic expansions beyond the tQSSA for inhibitory mechanisms in enzyme kinetics / Bersani, A. M.; Borri, A.; Milanesi, A.; Tomassetti, G.; Vellucci, P.. - In: COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS. - ISSN 2038-0909. - 10:1(2019), pp. 162-181. [10.1515/caim-2019-0019]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1318281
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