Modelling of a Fed-Batch Culture Applying Simulated Annealing

Authors

  • Olympia Roeva Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
  • Tanya Trenkova National Institute of Geophysics, Geodesy and Geography

DOI:

https://doi.org/10.11145/j.biomath.2012.11.114

Keywords:

metaheuristics, simulated annealing, optimization, E. coli, cultivation process,

Abstract

In this paper the metaheuristic Simulated Annealing (SA) is applied for parameter identification of non-linear model of cultivation process. SA algorithm is a stochastic relaxation technique, using the Metropolis algorithm based on the Boltzmann distribution in statistical mechanics, for solving nonconvex optimization problems. A real E. coli MC4110 fed-batch cultivation process is considered. The mathematical model is presented by a system of five ordinary differential equations, describing the regarded cultivation process variables - biomass, substrate, acetate, dissolved oxygen and bioreactor volume increasing. The obtained criteria values show that the developed model is adequate and has a high degree of accuracy. The presented results are a confirmation of successful application of the SA algorithm and of the choice of SA algorithm parameters.

Author Biography

Olympia Roeva, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

Assoc. prof. at Department of Bioinformatics and Mathematical Modelling

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Published

2012-12-22

Issue

Vol. 1 No. 2 (2012)

Section

Original Articles

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