Publication:
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

Issued Date

1989-01-01

Resource Type

Article

ISSN

03032647

DOI

10.1016/0303-2647(89)90048-8

Other identifier(s)

2-s2.0-0024404704

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

BioSystems. Vol.22, No.4 (1989), 273-278

Suggested Citation

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. BioSystems. Vol.22, No.4 (1989), 273-278. doi:10.1016/0303-2647(89)90048-8 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/15713

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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

Author(s)

Yongwimon Lenbury
 Mahosut Punpocha

Other Contributor(s)

Mahidol University

Abstract

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.

Keyword(s)

Biochemistry, Genetics and Molecular Biology
 Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/15713

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Scopus 1969-1990