Mathematical Modelling of Microbiological Processes

Major: Biotechnology and Bioengineering
Code of subject: 6.162.00.O.034
Credits: 3.00
Department: Technology of Biologically Active Substances, Pharmacy and Biotechnology
Lecturer: Doctor of Economical Sciences, Associate Professor at the Department of TBSFB Sofiya Vasylyuk
Semester: 6 семестр
Mode of study: денна
Мета вивчення дисципліни: Acquisition by students of knowledge and skills in the field of mathematical modeling and analysis of the processes of growth and development of populations in conditions of periodic and continuous cultivation, synthesis of target products
Завдання: Ability to apply knowledge in practical situations The ability to use professional knowledge and practical skills to solve specific tasks in the field of biotechnology and bioengineering. Ability to use knowledge of mathematics and physics to the extent necessary to achieve other results of the educational program. The ability to understand and apply mathematical modeling to study modes, conditions and regularities of microbiological processes.
Learning outcomes: To be able to apply modern mathematical methods to solve practical problems related to the research and design of biotechnological processes. Use knowledge of physics to analyze biotechnological processes. Calculate the parameters of biotechnological equipment based on the analysis of heat and mass exchange processes. The ability to realize the need for lifelong learning in order to deepen the acquired and acquire new professional knowledge The ability to use a variety of methods, including modern information technologies, for effective communication at the professional and social levels.
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: This discipline allows future biotechnological engineers to study the laws underlying biotechnological processes - the kinetics of growth and development of microbial populations, the synthesis of metabolic products of microorganisms, as well as hydrodynamic, mass exchange and heat exchange processes in bioreactors. The subject of the discipline is the study of mathematical models of the processes of periodic and continuous cultivation of microorganisms, taking into account the influence of various physical and chemical factors and their analysis. The methods of determining the quantitative characteristics of the growth and development of microbial cultures, the synthesis of target products, and the calculation of optimal conditions for the synthesis of metabolic products are considered.
Опис: 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: The main methods of knowledge diagnosis are: current (PC) and semester control (SC), which is carried out from educational material, the scope of which is determined by the work program of the discipline for the semester. Current control is carried out during lectures and practical classes in order to check the level of assimilation of theoretical and practical knowledge and skills of the student. PC is conducted in the form of: performance and defense of control work and express survey in practical classes. Semester control is carried out in the form of differentiated assessment
Критерії оцінювання результатів навчання: • oral questioning, control test – 35 points; • final control ( test) – 65 points .
Recommended books: 1. Компютерне моделювання у фармації : навч. посіб./ І.Є. Булах, Л.П. Войтенко, І.П. Кривенко. – 2-е вид., випр.- .К.:ВСВ «Медицина», 2017.-208с 2. Варфоломеев С.Д., Калюжный С.В. Биотехнология: Кинетические основы микробиологических процесов: Учеб. пособие для биол. и хим. спец. вузов. – М.: Высш. Школа, 1990. – 296с. 3. Сидоров Ю.І., Влязло Р.Й., Новіков В.П. Процеси і апарати мікробіологічної та фармацевтичної промисловості: Навчальний посібник. – Львів: “Інтелект-Захід”, 2008. – 736с. 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 (курсова робота)

Major: Biotechnology and Bioengineering
Code of subject: 6.162.00.O.037
Credits: 2.00
Department: Technology of Biologically Active Substances, Pharmacy and Biotechnology
Lecturer: Doctor of Economical Sciences, Associate Professor Sofiya Vasylyuk
Semester: 6 семестр
Mode of study: денна
Мета вивчення дисципліни: Acquisition by students of knowledge and skills in the field of mathematical modeling and analysis of the processes of growth and development of populations in conditions of periodic and continuous cultivation, synthesis of target products
Завдання: Ability to apply knowledge in practical situations The ability to use professional knowledge and practical skills to solve specific tasks in the field of biotechnology and bioengineering. Ability to use knowledge of mathematics and physics to the extent necessary to achieve other results of the educational program. The ability to understand and apply mathematical modeling to study modes, conditions and regularities of microbiological processes.
Learning outcomes: To be able to apply modern mathematical methods to solve practical problems related to the research and design of biotechnological processes. Use knowledge of physics to analyze biotechnological processes. Calculate the parameters of biotechnological equipment based on the analysis of heat and mass exchange processes The ability to realize the need for lifelong learning in order to deepen the acquired and acquire new professional knowledge The ability to use a variety of methods, including modern information technologies, for effective communication at the professional and social levels.
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: Studying the discipline will allow students to consolidate knowledge about the general theoretical regularities of the growth processes of biomass of microorganisms. Knowledge of these regularities will allow to calculate the volume of fermentation equipment, consciously apply technological options in this or that specific process of biomass cultivation and, ultimately, competently approach the practical design of microbiological productions.
Опис: 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: Current control over the student's performance of each stage of the course work is carried out by the teacher during consultations. Semester control during course work is carried out in the form of differentiated credit during the presentation and defense of the course work.
Критерії оцінювання результатів навчання: • 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. Компютерне моделювання у фармації : навч. посіб./ І.Є. Булах, Л.П. Войтенко, І.П. Кривенко. – 2-е вид., випр.- .К.:ВСВ «Медицина», 2017.-208с. 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. 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.