<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

Data publikacji: 20 lip 2017

Zakres stron: 81 - 102

Otrzymano: 12 sty 2017

Przyjęty: 20 kwi 2017

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

Słowa kluczowe
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

Data publikacji: 20 lip 2017

Zakres stron: 81 - 102

Otrzymano: 12 sty 2017

Przyjęty: 20 kwi 2017

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

Słowa kluczoweEnzyme Kinetics, Inhibition, Tihonov's Theorem, Center Manifold, Perturbation Theory

© 2017

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

Słowa kluczowe
Enzyme Kinetics, Inhibition, Tihonov's Theorem, Center Manifold, Perturbation Theory