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A practical guide for optimal designs of experiments in the Monod model

Author

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  • Strigul, Nikolay
  • Dette, Holger
  • Melas, Viatcheslav B.

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 backgroundfor 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.

Suggested Citation

  • Strigul, Nikolay & Dette, Holger & Melas, Viatcheslav B., 2006. "A practical guide for optimal designs of experiments in the Monod model," Technical Reports 2006,32, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200632
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    References listed on IDEAS

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    1. Holger Dette & Viatcheslav B. Melas & Andrey Pepelyshev & Nikolai Strigul, 2003. "Efficient design of experiments in the Monod model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(3), pages 725-742, August.
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