<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

Tihonov theory and center manifolds for inhibitory mechanisms in enzyme kinetics

Communications in Applied and Industrial Mathematics

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

{"article-title":"Tihonov theory and center manifolds for inhibitory mechanisms in enzyme kinetics"}

In this paper we study the chemical reaction of inhibition, determine the appropriate parameter ε for the application of Tihonov's Theorem, compute explicitly...

Tihonov theory and center manifolds for inhibitory mechanisms in enzyme kinetics

Publié en ligne: 20 juil. 2017

Pages: 81 - 102

Reçu: 12 janv. 2017

Accepté: 20 avr. 2017

DOI: https://doi.org/10.1515/caim-2017-0005

Mots clés
Enzyme Kinetics, Inhibition, Tihonov's Theorem, Center Manifold, Perturbation Theory

© 2017

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

Tihonov theory and center manifolds for inhibitory mechanisms in enzyme kinetics

Publié en ligne: 20 juil. 2017

Pages: 81 - 102

Reçu: 12 janv. 2017

Accepté: 20 avr. 2017

DOI: https://doi.org/10.1515/caim-2017-0005

Mots clésEnzyme Kinetics, Inhibition, Tihonov's Theorem, Center Manifold, Perturbation Theory

© 2017

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

Mots clés
Enzyme Kinetics, Inhibition, Tihonov's Theorem, Center Manifold, Perturbation Theory