Mathematical Modelling of Microbiological Processes (курсова робота)

Major: Biotechnology and Bioengineering
Code of subject: 6.162.00.O.064
Credits: 2.00
Department: Technology of Biologically Active Substances, Pharmacy and Biotechnology
Lecturer: Assistant, Ph.D. Nataliya Monka
Semester: 6 семестр
Mode of study: денна
Learning outcomes: • • to understand the theoretical foundations of living cell development; • be able to model processes in biological systems; • be able to assess the basic laws of biomass growth kinetics needed for practical application; • be able to build mathematical models of populations and predict system behavior in time; • be able to calculate kinetics and choose equipment for fermentation;
Required prior and related subjects: Prerequisites: General Microbiology and Virology; General Biotechnology; Biophysics Co-requisites: Processes and Equipment of Biotechnology Industry; Оrganization of Biotechnical Production (Design and Equipment)
Summary of the subject: Coursework consists of a written theoretical part and the calculated part, which involves determination of the technological parameters of the real process. Preparing of coursework requires knowledge of mathematical modeling of microbial processes.
Assessment methods and criteria: • Coursework content and completeness of its presentation – 20 points; processing and references to modern research and publications in coursework – 25 points, execution –5 points; • Defense of Coursework (oral form) – 50 points.
Recommended books: 1. Варфоломеев С.Д., Калюжный С.В. Биотехнология: Кинетические основы микробиологических процесов: Учеб. пособие для биол. и хим. спец. вузов. – М.: Высш. Школа, 1990. – 296с. 2. Сидоров Ю.І., Влязло Р.Й., Новіков В.П. Процеси і апарати мікробіологічної та фармацевтичної промисловості: Навчальний посібник. – Львів: “Інтелект-Захід”, 2008. – 736с. 3. Васильев Н.А., Амбросов В.А., Складнев А.А. Моделирование процессов микробиологического синтеза. – М., Изд. «Лесная промышленность», 1975, 344 с. 4. О.В. Болотін, І.М. Мага, В.В. Нечипорук, В.І. Ткач. Математичне моделювання в мікробіології та хімічній технології харчових добавок: Навч. посібник.-Ужгород: Вид-во В.Падяка, 2014. – 361, [4] с.

Mathematical Modelling of Microbiological Processes

Major: Biotechnology and Bioengineering
Code of subject: 6.162.00.O.061
Credits: 3.00
Department: Technology of Biologically Active Substances, Pharmacy and Biotechnology
Lecturer: Assistant, Ph.D. Nataliya Monka
Semester: 6 семестр
Mode of study: денна
Learning outcomes: • to understand the theoretical foundations of living cell development; • be able to model processes in biological systems; • be able to assess the basic laws of biomass growth kinetics needed for practical application; • be able to build mathematical models of populations and predict system behavior in time; • be able to calculate kinetics and choose equipment for fermentation;
Required prior and related subjects: Prerequisites: General Microbiology and Virology; General Biotechnology; Biophysics Co-requisites: Processes and Equipment of Biotechnology Industry; Оrganization of Biotechnical Production (Design and Equipment)
Summary of the subject: Fundamentals of mathematical modeling and optimization of technological processes. Cultivation of microorganism cells. The process of microorganism population growth. Kinetic curves of biomass growth. Malthus and Mono postulates. Mathematical description of the biomass growth. Kinetics of Michaelis-Menten enzymatic reactions. Physico-chemical substantiation of Mono equation. The simplest scheme of an interaction of cells with the substrate. The scheme of the equilibrium "saturation" of microorganism cells by the substrate. The scheme of the irreversible transformation of the substrate within the cell. "Microscopic" approach to biomass growth kinetics. The known kinetic models of biomass growth. The inhibition of the microorganisms growth. The integrated form of the equation of microbial population growth. Model LCE. Calculation of batch fermenter volume. Calculation of continuous fermenter volume. Single-stage homogeneous continuous cultivation. Multi-stage homogeneous continuous cultivation. "Negative-adding" method of biomass cultivation. Single-stage homogeneous cultivation with recycling of biomass. Mathematical modeling of the biosynthesis of metabolic products.
Assessment methods and criteria: • oral questioning, control test – 30 points; • final control ( test) – 70 points (written form).
Recommended books: 1. Варфоломеев С.Д., Калюжный С.В. Биотехнология: Кинетические основы микробиологических процесов: Учеб. пособие для биол. и хим. спец. вузов. – М.: Высш. Школа, 1990. – 296с. 2. Сидоров Ю.І., Влязло Р.Й., Новіков В.П. Процеси і апарати мікробіологічної та фармацевтичної промисловості: Навчальний посібник. – Львів: “Інтелект-Захід”, 2008. – 736с. 3. Васильев Н.А., Амбросов В.А., Складнев А.А. Моделирование процессов микробиологического синтеза. – М., Изд. «Лесная промышленность», 1975, 344 с. 4. О.В. Болотін, І.М. Мага, В.В. Нечипорук, В.І. Ткач. Математичне моделювання в мікробіології та хімічній технології харчових добавок: Навч. посібник.-Ужгород: Вид-во В.Падяка, 2014. – 361, [4] с.