Practical aspects of the mathematical modeling of fermentation processes as a method of description, simulation, identification and optimization

Abstract

Abstract Most mathematical models for describing the physiological state in fermentations lead to solutions of the so‐called “stiff differential systems” during simulation on a digital computer There is no suitable conventional software for solving these systems As a result of a relatively extensive screening of suitable methods for the solution of “stiff” differential systems (about 200 methods) it may be concluded that the semiimplicit R UNGE ‐K UTTA ‐formulas of the R OSENBROCK type, which constitute a part of the collection of programmes STIFFSOLVER‐80, are optimal for the simulation of fermentation processes For determining kinetic parameters from integral data the authors use the system of programmes BIOKIN Their practical application is discussed for 3 examples: Growth of the yeast Saccharomyces cerevisiae and changes in the content of specific compounds (proteins and ergosterol) Quantitative evaluation of “;direct oxygen transfer” in the submerged culture. Biosynthesis of a new antibiotic substance mucidin .