ANZIAM  J.  47 (2005), 173-184
Analysis of the Michaelis-Menten mechanism in an immobilised enzyme reactor

M. I. Nelson
  School of Mathematics and Applied Statistics
  University of Wollongong
  NSW 2522 Australia
X. D. Chen
  Department of Chemical and Materials Engineering
  University of Auckland
  New Zealand
M. J. Sexton
  Maritime Development
  Russell Offices
  ACT 2600

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 immobilised 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.
Download the article in PDF format (size 102 Kb)

Australian Mathematical Publishing Association Inc. ©  Australian MS