title: Modeling substrate inhibition of microbial growth.
abstract: This article presents a general equation for substrate inhibition of microbial growth using a statistical thermodynamic approach. Existing empirical models adapted from enzyme kinetics, for example, the Haldane-Andrews equation, often criticized for not being physically based for microbial growth, are shown to derive from the general equation in this article, and their empirical parameters are shown to be well defined physically. Three sets of experimental data from the literature are used to test the modeling abilities of the general equation to represent experimental data. The results are compared with those obtained by fitting the same data set to a widely used empirical model existing in the literature. The general equation is found to represent all three experimental data sets better than the alternative model tested. In addition, a graphical method existing in enzyme kinetics is successfully adapted and further developed to determine the number of inhibition sites of a basic functional unit of a bacterial cell.
authors.affiliation: Centre for Environmental Mechanics CSIRO, GPO Box 821 ACT 2601, Canberra, Australia.
authors.forename: Y
authors.initials: Y
authors.lastname: Tan
authors.forename: Z X
authors.initials: ZX
authors.lastname: Wang
authors.forename: K C
authors.initials: KC
authors.lastname: Marshall