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Optimal designs for Michaelis-Menten kinetic studies

Lookup NU author(s): Professor John MatthewsORCiD

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Abstract

Many reactions in enzymology are governed by the Michaelis-Menten equation. Characterising these reactions requires the estimation of the parameters KM and Vmax which determine the Michaelis-Menten equation and this is done by observing rates of reactions at a set of substrate concentrations. The choice of substrate concentrations is investigated by determining Bayesian D-optimal designs for a model in which residuals have a normal distribution with constant variance. Designs which focus on alternative quantities, such as KM or the ratio Vmax/KM are also considered. The effect on the optimal designs of alternative error distributions is also considered. Copyright © 2004 John Wiley & Sons, Ltd.

Publication metadata

Author(s): Matthews JNS, Allock GC

Publication type: Article

Publication status: Published

Journal: Statistics in Medicine

Year: 2004

Volume: 23

Issue: 3

Pages: 477-491

ISSN (print): 0277-6715

ISSN (electronic): 1097-0258

Publisher: John Wiley & Sons Ltd

URL: http://dx.doi.org/10.1002/sim.1612

DOI: 10.1002/sim.1612

PubMed id: 14748040

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