<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we study the model of the chemical reaction of fully competitive inhibition and determine the appropriate parameter <italic>∊</italic> (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.</p></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.

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

Department of Mechanical and Aerospace Engineering

Institute for System Analysis and Computer Science “Antonio Ruberti” (IASI-CNR)

Department of Basic and Applied Sciences for Engineering

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper we study the model of the chemical reaction of fully competitive inhibition and determine the appropriate parameter ∊ (related to the chemical...

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

Published Online: Aug 12, 2019

Page range: 162 - 181

Received: Oct 28, 2018

Accepted: Jul 25, 2019

DOI: https://doi.org/10.1515/caim-2019-0019

Keywords
Enzyme Kinetics, Inhibition, Singular Perturbation Theory, Asymptotic Expansions

© 2019 A. M. Bersani et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Aug 12, 2019

Page range: 162 - 181

Received: Oct 28, 2018

Accepted: Jul 25, 2019

DOI: https://doi.org/10.1515/caim-2019-0019

KeywordsEnzyme Kinetics, Inhibition, Singular Perturbation Theory, Asymptotic Expansions

© 2019 A. M. Bersani et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Enzyme Kinetics, Inhibition, Singular Perturbation Theory, Asymptotic Expansions