We summarize some recent results concerning the study of the asymptotic properties of four important enzyme reactions, which are ubiquitous in every intracellular enzyme reaction network. Mainly following the fundamental ideas by Nayfeh, after ad hoc adimensionalizations, we apply classical singular perturbation techniques in order to determine the matched expansions of the solutions, in terms of a suitable parameter, up to the first order. We show some numerical results, for the different mechanisms and different parameter values.

Singular perturbation techniques and asymptotic expansions for some complex enzyme reactions / Bersani, Alberto Maria; Borri, Alessandro; Milanesi, Alessandro; Tomassetti, Giovanna; Vellucci, Pierluigi. - 1:(2020), pp. 43-53. ((Intervento presentato al convegno First international nonlinear dynamics conference (NODYCON 2019) tenutosi a Roma [10.1007/978-3-030-34713-0_5].

Singular perturbation techniques and asymptotic expansions for some complex enzyme reactions

Alberto Maria Bersani
;
Alessandro Milanesi;Giovanna Tomassetti;Pierluigi Vellucci
2020

Abstract

We summarize some recent results concerning the study of the asymptotic properties of four important enzyme reactions, which are ubiquitous in every intracellular enzyme reaction network. Mainly following the fundamental ideas by Nayfeh, after ad hoc adimensionalizations, we apply classical singular perturbation techniques in order to determine the matched expansions of the solutions, in terms of a suitable parameter, up to the first order. We show some numerical results, for the different mechanisms and different parameter values.
First international nonlinear dynamics conference (NODYCON 2019)
singular perturbation techniques; Michaelis–Menten kinetics; asymptotic expansions
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Singular perturbation techniques and asymptotic expansions for some complex enzyme reactions / Bersani, Alberto Maria; Borri, Alessandro; Milanesi, Alessandro; Tomassetti, Giovanna; Vellucci, Pierluigi. - 1:(2020), pp. 43-53. ((Intervento presentato al convegno First international nonlinear dynamics conference (NODYCON 2019) tenutosi a Roma [10.1007/978-3-030-34713-0_5].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1366328
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