<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

Online veröffentlicht: 20. Juli 2017

Seitenbereich: 81 - 102

Eingereicht: 12. Jan. 2017

Akzeptiert: 20. Apr. 2017

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

Schlüsselwörter
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

Online veröffentlicht: 20. Juli 2017

Seitenbereich: 81 - 102

Eingereicht: 12. Jan. 2017

Akzeptiert: 20. Apr. 2017

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

SchlüsselwörterEnzyme Kinetics, Inhibition, Tihonov's Theorem, Center Manifold, Perturbation Theory

© 2017

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

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