title: Optimal designs for Michaelis-Menten kinetic studies.
abstract: Many reactions in enzymology are governed by the Michaelis-Menten equation. Characterising these reactions requires the estimation of the parameters K(M) and V(max) 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 K(M) or the ratio V(max)/K(M) are also considered. The effect on the optimal designs of alternative error distributions is also considered.
authors.affiliation: Department of Statistics, University of Newcastle, Newcastle upon Tyne NE1 7RU, U.K. j.n.s.matthews@ncl.ac.uk
authors.forename: J N S
authors.initials: JN
authors.lastname: Matthews
authors.forename: G C
authors.initials: GC
authors.lastname: Allcock
mesh_terms: D001499:Bayes Theorem; D004798:Enzymes / Q000378:metabolism*; D006801:Humans; D007700:Kinetics; D015233:Models, Statistical; D012107:Research Design
chemical_list: D004798:Enzymes