The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition

A three-variable model of a continuous fermentation process characterised by product inhibition is studied. It is shown that if the cell to substrate yield is constant, the system cannot have periodic solutions. If, on the other hand, the yield term is a variable function of substrate concentration,...

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Main Authors:	Yongwimon Lenbury, Mahosut Punpocha
Other Authors:	Mahidol University
Format:	Article
Published:	2018
Subjects:	Biochemistry, Genetics and Molecular Biology Mathematics
Online Access:	https://repository.li.mahidol.ac.th/handle/123456789/15713
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Institution:	Mahidol University

id	th-mahidol.15713
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spelling	th-mahidol.157132018-06-14T16:14:45Z The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition Yongwimon Lenbury Mahosut Punpocha Mahidol University Biochemistry, Genetics and Molecular Biology Mathematics A three-variable model of a continuous fermentation process characterised by product inhibition is studied. It is shown that if the cell to substrate yield is constant, the system cannot have periodic solutions. If, on the other hand, the yield term is a variable function of substrate concentration, the model will exhibit oscillations in the cells, substrate and product concentrations in the form of Hopf bifurcation in the underlying system of three nonlinear, ordinary differential equations which comprise the model. © 1989. 2018-06-14T09:12:52Z 2018-06-14T09:12:52Z 1989-01-01 Article BioSystems. Vol.22, No.4 (1989), 273-278 10.1016/0303-2647(89)90048-8 03032647 2-s2.0-0024404704 https://repository.li.mahidol.ac.th/handle/123456789/15713 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0024404704&origin=inward
institution	Mahidol University
building	Mahidol University Library
continent	Asia
country	Thailand Thailand
content_provider	Mahidol University Library
collection	Mahidol University Institutional Repository
topic	Biochemistry, Genetics and Molecular Biology Mathematics
spellingShingle	Biochemistry, Genetics and Molecular Biology Mathematics Yongwimon Lenbury Mahosut Punpocha The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition
description	A three-variable model of a continuous fermentation process characterised by product inhibition is studied. It is shown that if the cell to substrate yield is constant, the system cannot have periodic solutions. If, on the other hand, the yield term is a variable function of substrate concentration, the model will exhibit oscillations in the cells, substrate and product concentrations in the form of Hopf bifurcation in the underlying system of three nonlinear, ordinary differential equations which comprise the model. © 1989.
author2	Mahidol University
author_facet	Mahidol University Yongwimon Lenbury Mahosut Punpocha
format	Article
author	Yongwimon Lenbury Mahosut Punpocha
author_sort	Yongwimon Lenbury
title	The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition
title_short	The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition
title_full	The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition
title_fullStr	The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition
title_full_unstemmed	The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition
title_sort	effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition
publishDate	2018
url	https://repository.li.mahidol.ac.th/handle/123456789/15713
_version_	1763493980899639296

The effect of the yield expression on the existence of oscillatory behavior in a three-variable model of a continuous fermentation system subject to product inhibition

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