Summary. In the production technology of many foods microbiological processes are crucial to the economic indicators of enterprises and the quality of the products manufactured. The examples of this are the production, where the biomass is the end product. For example, the production of various strains of the yeast Saccharomyces for different branches of the food industry: baking, brewing, winemaking, as well as for the pharmaceutical industry. The development of mathematical models of microbial cells is one of the greatest challenges of microbiology. The need to search for mathematical models is dictated by the continuous development of microbiological industry, increases in the requirements for the production design, maintenance and predictions of the processes depending on the change of process parameters. However, this requires knowledge of the laws governing material and energy exchange between the culture medium and the cell and the availability of mathematical models describing them. This knowledge cannot be obtained without studying the biological processes kinetics. Kinetic regularities of microbial growth is largely determined by the selection method of the microbiological process and the type of equipment in which these processes occur. Many biological processes can be described with a simple mathematical model, but there are kinetic regularities of biological processes that can only be described by equations of more complex type. Culturing yeast kinetic models, reflecting the complexity of the biological processes occurring during the cultivation were obtained. According to the analysis of experimental data on the Saccharomyces cerevisiae yeast culturing with a batch process, a system of equations (mathematical model), giving a functional relationship of biomass growth and cells consumption of carbohydrates with their different initial values in a culture medium under conditions of oxygen deficiency without stirring is obtained.

mathematical model, kinetics, cultivation, yeast Saccharomyces cerevisiae

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