Folia Microbiologica

, Volume 21, Issue 5, pp 391–405

Application of mathematical optimization methods in microbiology

  • P. Pilát
  • J. Voteuba
  • P. Doberský
  • A. Prokop
Article

DOI: 10.1007/BF02876966

Cite this article as:
Pilát, P., Voteuba, J., Doberský, P. et al. Folia Microbiol (1976) 21: 391. doi:10.1007/BF02876966
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Abstract

Mathematical methods of experiment design have so far found little use in the optimization of microbiological processes. The conventional optimization procedure is still the transformation of functional relationship ofn variables into n unidimensional optimizations; furthermore, the Bos-Wilson gradient method is often used. This paper presents a review of methods used in other fields, and their application in microbiological practice. The methods are classified according to whether they require, besides the simple determination of the objective function (direct search methods), also the finding of its first (gradient methods) or second derivative (Newton-Raphson method). A modified Rosenbrock’s method of direot optimum search and the gradient Box-Wilson method were used in parallel for the optimization of yeast growth on methanol. Their comparison showed that Bosenbrock’s method is more suitable for multiparameter systems.

Copyright information

© Institute of Microbiology, Academy of Sciences of the Czech Republic 1976

Authors and Affiliations

  • P. Pilát
    • 1
  • J. Voteuba
    • 1
  • P. Doberský
    • 1
  • A. Prokop
    • 1
  1. 1.Department of Technical Microbiology, Institute of MicrobiologyCzechoslovak Academy of SciencesPrague 4