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Title of article  STUDYING THE BIOKINETICS OF PIGMENTED YEAST BY STOCHASTIC METHODS  

Authors  Ivanova S.A., Kemerovo Institute of Food Science and Technology, bul'v. Stroitelei 47, Kemerovo, 650056 Russia, pavvm2000@mail.ru Pavsky V.A., Kemerovo Institute of Food Science and Technology, bul'v. Stroitelei 47, Kemerovo, 650056 Russia Poplavskaya M.A., Kemerovo Institute of Food Science and Technology, bul'v. Stroitelei 47, Kemerovo, 650056 Russia Novoselova M.V., Kemerovo Institute of Food Science and Technology, bul'v. Stroitelei 47, Kemerovo, 650056 Russia 

Section:  FOOD PRODUCTION TECHNOLOGY  
Year  2014  Issue  1  DOI  663.12:519.245 
Annotation  A country that owns highperformance computing facilities and mathematical modeling algorithms is able to provide its competitiveness in all the sectors of economy. The application of mathematical modeling is environmentally safe and cost effective and increases the technical and general culture of production. First of all, this concerns the development of new technologies. That is why the creation of new products in both the pharmaceutical and food industries is already impossible without the use of mathematical modeling. Today this is a necessity, the fulfilment of which has already been specified in relevant technical regulations. The simultaneous use of both mathematical methods and experiment provides not only the reduction of time, energy, and financial expenditures, but also the acquisition of additional information and the establishment of a direction of studies. This considerably reduces the time between the generation of an idea and its implementation in the form of a product. The technologies of the use of Lphenylalanine ammonialyase for the achievement of certain objectives in medicine, biotechnology, agriculture, and food industry have been developed by now. The insufficient application of algorithmic and mathematical approaches by researchers for development and analysis can be considered as a factor limiting the active use of biotechnological methods in the production of this enzyme. The description of microbial biosynthesis mechanisms by classical mathematical methods encounter some difficulties due to the combined effect of numerous chemical, physical, biological, engineering, and other factors. Another important thing is the more profound study of the kinetics of microbiological synthesis susceptible to both internal and external effects. The batch cultivation of pigmented yeast has been studied by probabilistic methods. A stochastic model providing the system study of the biosynthesis of Lphenylalanine ammonialyase by pigmented yeast has been formulated. The cultivation of microorganisms is described by the birthanddeath process. The mathematical expectation and dispersion of the number of population members are proposed as efficiency characteristics. The dependence between the amount of synthesized enzyme and the birth and death rates of a cultivated population is derived through the concentration of cultivated microorganism biomass and the birth and death rates of its members.  
Keywords  Cultivation of microorganisms, biosynthesis of enzyme, probability, stochastic model, mathematical expectation, dispersion, differential equations  
Artice information  Received November 30, 0001 Accepted November 30, 0001 Available online November 30, 0001 

Imprint article  Ivanova S.A. STUDYING THE BIOKINETICS OF PIGMENTED YEAST BY STOCHASTIC METHODS / Ivanova S.A., Pavsky V.A., Poplavskaya M.A., Novoselova M.V. // Food and Raw Materials.  2014.  no. 1.  P. 1721  
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