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Estimation for model parameters of batch fermentation kinetics.

Based on the widely accepted mathematical model of fermentation kinetics, an analytical solution is deduced in this paper. To describe the feature of batch fermentation, the parameters of the fermentation kinetics in the analytical solution (i.e., mumax, Ks, beta, YG, YP, and m) are estimated at one strike with POWELL optimization algorithm coded in FORTRAN-77. The experimental data in the example is quoted from a batch lysine fermentation process using Corynebacterium glutamicum. The result shows that: 1) the calculated values of the mathematical model agree very well with the experimental data; 2) the synthesis rate of lysine depends on both the growth rate and the concentration of the biomass.