System analysis of resource interaction processes in the biotechnological system

Abstract

The paper provides mathematical modeling of processes occurring in the biotechnological system, using the example of the interaction of functional microorganisms with contaminating microflora, which is currently a promising scientific direction. The analysis showed that there are no existing studies on this issue, as well as systematic and integrated approaches to solving this problem that allow describing the processes under consideration. Therefore, it is necessary to analyze and build a system model that reflects the full range of interactions between useful and extraneous populations of microorganisms in the production of bakery products. System analysis and mathematical modeling of microbiological processes is a complex task. It is necessary to take into account a lot of factors, such as the simultaneous flow of several non-stationary processes; a lot of state parameters, including the analysis of relationships between them; changes in real-time technological parameters, in particular the main resource, taking into account various properties of microbial populations that affect the behavior of microbiological systems (mortality, birth rate, the existence of extraneous microflora, etc.), and other factors that directly affect the quality of the finished product. These factors characterize the complexity of forming a mathematical model that allows you to take into account all the main features of the production of bakery products. The existing mathematical apparatus and the system analysis of this kind of production carried out before considered the behavior of the population of beneficial microorganisms, but did not contain an analysis of the effect of contaminating microflora on it. The problem can be reduced to a system of differential equations describing the microbiological process as a whole. To describe the General model needed to describe an unknown function, including constraints on the parameters. In addition, you must set the initial and boundary conditions and determine the coefficients of the model. The paper offers a system model for analyzing the effect of plant additives on biotechnological properties and test quality indicators. The presented system model allows you to continue the study of the issues raised in the work, by further studying its components.