Studying the biokinetics of pigmented yeast by stochastic methods

Application of mathematical modeling is environmentally safe and cost effective and increases technical and general culture of production. First of all, this concerns new technologies development. That is why new products creation in both pharmaceutical and food industries is already impossible without use of mathematical modeling. Today this is a necessity, which fulfilment has already been specified in relevant technical regulations. Simultaneous use of both mathematical methods and experiment provides not only time, energy reduction and financial expenditures, but also acquisition of additional information and studies direction establishment. This considerably reduces time between idea generation and its implementation in product form. L-phenylalanine ammonia-lyase use technologies for achievement of certain objectives in medicine, biotechnology, agriculture, and food industry have been developed by now. Insufficient algorithmic and mathematical approaches application by researchers for development and analysis can be considered as factor limiting active biotechnological methods use in this enzyme production. Microbial biosynthesis mechanisms description by classical mathematical methods encounter some difficulties due to numerous chemical, physical, biological, engineering combined effect and other factors. Another important thing is more profound kinetics study of microbiological synthesis susceptible to both internal and external effects. Batch cultivation of pigmented yeast has been studied by probabilistic methods. Stochastic model providing L-phenylalanine ammonia-lyase biosynthesis by pigmented yeast system study has been formulated. Mathematical expectation and population members number dispersion are proposed as efficiency characteristics. Dependence between synthesized enzyme amount and cultivated population birth and death rates is derived through cultivated microorganism biomass concentration and its members' birth and death rates.