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Study of Oscillations in a Particular Case of Yates-Pardee-Goodwin Metabolic Pathway with Coupling

Study of Oscillations in a Particular Case of Yates-Pardee-Goodwin Metabolic Pathway with Coupling The aim of this work is to study the effect of coupling on a metabolic pathway. Specifically we assume that metabolites can exchange matter with outside pools via passive diffusion. The existence of periodic solutions in such a system is considered and resolved using the dual input describing function method. In one particular case of coupling for all permissible parameter sets the minimum dimension is given so that it is possible to detect a periodic solution. The results obtained are compared with previously derived results for systems without coupling. It is concluded that coupling with exterior pools of metabolites can give rise to steady state instead of periodic solution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Biotheoretica Springer Journals

Study of Oscillations in a Particular Case of Yates-Pardee-Goodwin Metabolic Pathway with Coupling

Acta Biotheoretica , Volume 46 (4) – Oct 10, 2004

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 1998 by Kluwer Academic Publishers
Subject
Philosophy; Philosophy of Biology; Evolutionary Biology
ISSN
0001-5342
eISSN
1572-8358
DOI
10.1023/A:1001886932478
Publisher site
See Article on Publisher Site

Abstract

The aim of this work is to study the effect of coupling on a metabolic pathway. Specifically we assume that metabolites can exchange matter with outside pools via passive diffusion. The existence of periodic solutions in such a system is considered and resolved using the dual input describing function method. In one particular case of coupling for all permissible parameter sets the minimum dimension is given so that it is possible to detect a periodic solution. The results obtained are compared with previously derived results for systems without coupling. It is concluded that coupling with exterior pools of metabolites can give rise to steady state instead of periodic solution.

Journal

Acta BiotheoreticaSpringer Journals

Published: Oct 10, 2004

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