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

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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 computerThere is no suitable conventional software for solving these systemsAs 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 RUNGE‐KUTTA‐formulas of the ROSENBROCKtype, which constitute a part of the collection of programmes STIFFSOLVER‐80, are optimal for the simulation of fermentation processesFor determining kinetic parameters from integral data the authors use the system of programmes BIOKINTheir practical application is discussed for 3 examples: Growth of the yeastSaccharomyces cerevisiaeand 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 .