Course syllabus MBP - Modelling of Biological Processes (FA - WS 2020/2021)

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Course code: MBP
Course title in Czech: Modelling of Biological Processes
Course title in English: Modelling of Biological Processes
WS 2020/2021
Mode of completion and number of credits: Exam (5 credits)
Mode of delivery and timetabled classes:
full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Level of course: master; master continuing
Course type: required
Type of delivery:
Mode of delivery for our mobility students abroad:
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Language of instruction: Czech
Course supervisor:
Course supervising department:
doc. Ing. Jiří Fryč, CSc. (supervisor)
Ing. Josef Los, Ph.D. (examiner, instructor, lecturer)
Ing. Vlastimil Slaný (examiner, instructor, lecturer)
Prerequisites: (Mathematics or Mathematics) and (Physics or Physics I) or Bachelor State Examination
Timetable in this semester:
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Aim of the course and learning outcomes:
Subject "Modeling of biological processes" in a broader frame monitors factors affecting the environment, particularly the anthropogenic activities in relation to both live and inanimate nature in the temporal and spatial variability. The course focuses on material and energy flows in the biosphere; responds to the current requirements of scientific development. The emphasis is that the experts were able to systematically future process and analyze data from the whole complex of disciplines directly related to waste management and use them to create models of processes, technologies and techniques.
Course content:
Mathematical modeling and simulation (allowance 28/28)
a.Mathematical model and methods of its acquisition. The system and its elements. Objects environment. Selected objects (soil, water and urban).
Simulation of Biological Systems.
Patterns and modeling of the spread of contaminants in porous layers of soil, sediment, etc. The description of processes of migration. Introduction of basic concepts of diffusion, disprse, advection, convex, sorption and desorption.
Groundwater movement patterns of the porous environment. Darcy and Brinkmanova equation. Selected examples.
e.The spread of contaminants in streams and reservoirs. Types of mathematical models.
The spread of contaminants in the atmosphere. Types of mathematical models.

Learning activities and teaching methods:
Type of teaching method
Daily attendance
28 h
28 h
preparation for exam
84 h
140 h
Assessment methods:
Evaluation of participation in seminars (80 %);
Submission of a project and presentation;
Final examination (90 min, written, minimal requirements for passing 50 % from 20 questions of theory, writing of program);
Assessment criteria ratio:
Requirement type
Daily attendance
0 %
Recomended reading and other learning resources:
HOLZBECHER, E. Environmental Modeling: Using MATLAB. Berlin: Springer Berlin Heidelberg, 2011. 431 p. ISBN 978-3-642-22041-8.
DOWNEY, A. Physical Modeling in MATLAB.  [online]. 2011. URL:
DOSTÁLEK, P. -- MELZOCH, K. -- DEMNEROVÁ, K. Modelování bioprocesů a jednotkových operací, analýza rizik.  [online]. 2018. URL:
STARÁ, L. -- NAVRÁTIL, M. Matematika pro AF, ZF a ICV (1.část).  [online]. 2018. URL:
STARÁ, L. -- NAVRÁTIL, M. Matematika pro AF, ZF a ICV (2.část).  [online]. 2018. URL:
Environmental Modelling and Prediction. Berlin: Springer Verlag, 2002. 480 p. ISBN 3-540-67422-5.
TIJSKENS, L. Food Process Modelling. 1st ed. Cambridge: Woodhead Publishing, 2000. 16 p. ISBN 0-8493-1224-8.
Hierarchical modelling for the environmental sciences: statistical methods and applications. Oxford: Oxford University Press, 2006. 205 p. ISBN 0-19-856966-1.

PAZOUREK, J. Simulace biologických systémů. Praha: Grada, 1992. 284 p. Nestůjte za dveřmi. ISBN 80-85623-13-7.
ŠTAMBERG, K. Modelování migračních procesů v životním prostředí. Praha: Vydavatelství ČVUT, 1998.

Course listed in study plans for this semester:
Field of study C-WT-WTM Waste Technology and Management, full-time form, initial period WS 2019/2020
Course listed in previous semesters:
Teaching place:

Last modification made by Ing. Michal Karhánek on 10/16/2020.

Type of output: