Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-27T12:32:11.611Z Has data issue: false hasContentIssue false

Analysis of the Michaelis-Menten mechanism in an immobilised enzyme reactor

Published online by Cambridge University Press:  17 February 2009

M. I. Nelson
Affiliation:
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522Australia; e-mail: nelsonm@member.ams.org.
X. D. Chen
Affiliation:
Department of Chemical and Materials Engineering, University of Auckland, New Zealand.
M. J. Sexton
Affiliation:
Maritime Development. R1-3-C031, Russell Offices, ACT 2600, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We investigate the behaviour of a reaction described by Michaelis-Menten kinetics in an immobilised enzyme reactor (IER). The IER is treated as a well-stirred flow reactor, with the restriction that bounded and unbounded enzyme species are constrained to remain within the reaction vessel. Our aim is to identify the best operating conditions for the reactor.

The cases in which an iminobilised enzyme reactor is used to either reduce pollutant emissions or to synthesise a product are considered. For the former we deduce that the reactor should be operated using low flow rates whereas for the latter high flow rates are optimal. It is also shown that periodic behaviour is impossible.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2005

References

[1]Britton, N. F.. Reaction-Diffusion Equations and Their Applications to Biology, 1st ed. (Academic Press, London; Orlando, 1986).Google Scholar
[2]Campbell, I. M., Catalysis at Surfaces, 1st ed. (Chapman and Hall, London, 1988).CrossRefGoogle Scholar
[3]Perko, L., Differential Equations and Dynamical Systems, Texts in Appl. Math. 7, 2nd ed. (Springer, New York; London, 1996).CrossRefGoogle Scholar
[4]Zhou, Q. Z., Chen, X. D. and Li, X., “Kinetics of lactose hydrolysis by β-galactosidase of Kluyveroinyces lactis immobilized on cotton fabric”, Biotech. Bioengng 81 (2003) 127133.CrossRefGoogle ScholarPubMed