A practical guide for optimal designs of experiments in the monod model
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Date
2006-08-07T12:16:07Z
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Abstract
The Monod model is a classical microbiological model much used in microbiology, for example
to evaluate biodegradation processes. The model describes microbial growth kinetics in
batch culture experiments using three parameters: the maximal specific growth rate, the
saturation constant and the yield coefficient. However, identification of these parameter
values from experimental data is a challenging problem. Recently, it was shown theoretically
that the application of optimal design theory in this model is an efficient method for both
parameter value identification and economic use of experimental resources (Dette et al.,
2003). The purpose of this paper is to provide this method as a computational ”tool” such
that it can be used by practitioners -without strong mathematical and statistical background- for
the efficient design of experiments in the Monod model. The paper presents careful
explanations of the principal theoretical concepts, and a computer program for practical
optimal design calculations in Mathematica 5.0 software. In addition, analogous programs
in Matlab software will be soon available at www.optimal-design.org.
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Keywords
Biodegradation kinetics, D-optimality, Microbial growth, Monod model, Optimal experimental