Skip to main content

Analysis of a chemostat model with variable yield coefficient: Tessier kinetics

Journal Article


Abstract


  • We investigate a chemostat model

    in which the growth rate is given by

    a Tessier expression with a variable yield coefficient. We combine analytical

    results with path-following methods. The washout conditions are

    found. When washout does not occur we establish the conditions under

    which the reactor performance and reactor productivity

    are maximised. We also determine the parameter region in which

    oscillations may be generated in the reactor. We briefly discuss the

    implications of our

    results for comparing the performance of a single

    bioreactor against a cascade of two bioreactors.

Publication Date


  • 2009

Citation


  • Nelson, M. I. & Sidhu, H. S. (2009). Analysis of a chemostat model with variable yield coefficient: Tessier kinetics. Journal of Mathematical Chemistry, 46 (2), 303-321.

Scopus Eid


  • 2-s2.0-67650586560

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2658

Number Of Pages


  • 18

Start Page


  • 303

End Page


  • 321

Volume


  • 46

Issue


  • 2

Place Of Publication


  • http://www.springerlink.com/content/101749/?p=de33f350dc7242e284bf8bc7a8e3903c&pi=0

Abstract


  • We investigate a chemostat model

    in which the growth rate is given by

    a Tessier expression with a variable yield coefficient. We combine analytical

    results with path-following methods. The washout conditions are

    found. When washout does not occur we establish the conditions under

    which the reactor performance and reactor productivity

    are maximised. We also determine the parameter region in which

    oscillations may be generated in the reactor. We briefly discuss the

    implications of our

    results for comparing the performance of a single

    bioreactor against a cascade of two bioreactors.

Publication Date


  • 2009

Citation


  • Nelson, M. I. & Sidhu, H. S. (2009). Analysis of a chemostat model with variable yield coefficient: Tessier kinetics. Journal of Mathematical Chemistry, 46 (2), 303-321.

Scopus Eid


  • 2-s2.0-67650586560

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2658

Number Of Pages


  • 18

Start Page


  • 303

End Page


  • 321

Volume


  • 46

Issue


  • 2

Place Of Publication


  • http://www.springerlink.com/content/101749/?p=de33f350dc7242e284bf8bc7a8e3903c&pi=0