Tihonov theory and center manifolds for inhibitory mechanisms in enzyme kinetics

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

doi:10.1515/caim-2017-0005

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Tihonov theory and center manifolds for inhibitory mechanisms in enzyme kinetics

Communications in Applied and Industrial Mathematics

Volume 8 (2017): Issue 1 (March 2017)

By: A. M. Bersani, A. Borri, A. Milanesi and P. Vellucci

Open Access

|Jul 2017

Abstract

In this paper we study the chemical reaction of inhibition, determine the appropriate parameter ε for the application of Tihonov's Theorem, compute explicitly the equations of the center manifold of the system and find sufficient conditions to guarantee that in the phase space the curves which relate the behavior of the complexes to the substrates by means of the tQSSA are asymptotically equivalent to the center manifold of the system. Some numerical results are discussed.

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Articles in this issue

DOI: https://doi.org/10.1515/caim-2017-0005 | Journal eISSN: 2038-0909

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Language: English

Page range: 81 - 102

Submitted on: Jan 12, 2017

Accepted on: Apr 20, 2017

Published on: Jul 20, 2017

Published by: Italian Society for Applied and Industrial Mathemathics

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Related subjects:

Numerical and computational mathematics,

Applied mathematics

© 2017 A. M. Bersani, A. Borri, A. Milanesi, P. Vellucci, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 8 (2017): Issue 1 (March 2017)