A study case for the analysis of asymptotic expansions beyond the tQSSA for inhibitory mechanisms in enzyme kinetics.-Reference-Cited by-同舟云学术

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

Published:2019-01-01 Issue:1 Volume:10 Page:162-181
ISSN:2038-0909
Container-title:Communications in Applied and Industrial Mathematics
language:en
Short-container-title:

Author:

Bersani A. M.¹,Borri A.²,Milanesi A.³,Tomassetti G.³,Vellucci P.⁴

Affiliation:

1. Department of Mechanical and Aerospace Engineering , Sapienza University , Via Eudossiana 18, 00184 Roma

2. Institute for System Analysis and Computer Science “Antonio Ruberti” (IASI-CNR) , Piazzale A. Moro, 7 00185 Roma - Italy

3. Department of Basic and Applied Sciences for Engineering , Sapienza University , Via Antonio Scarpa 16, 00161 Roma

4. Department of Economics , Roma Tre University , via Silvio D’Amico 77, 00145 Rome , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Industrial and Manufacturing Engineering

Reference48 articles.

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