Modelling Biological Processes
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 17MSMBP | Z,ZK | 5 | 2+2 | Czech |
- Lecturer:
- Vladimír Rogalewicz (gar.), Marcel Jiřina (gar.)
- Tutor:
- Jan Hejda
- Supervisor:
- Department of Biomedical Technology
- Synopsis:
-
Basic notions and principles of system modelling generally. Theoretical and applied analysis of qualities of models representing various medical, biochemical, epidemiological, ecological, and biological systems. Population modelling. Epidemiological models. Models of pharmacokinetics.
- Requirements:
-
Assessment: sufficient participation in exercises (75%) and an oral presentation of a selected model
Examination: written - required at least 50 points of 100
- Syllabus of lectures:
-
1Basic notions of modelling and simulation. General techniques. Procedure of model creation and of simulation experiments. [1], pp. 3-10
2Biological systems and their properties. Experiments with biological systems. Models and their description. [1], pp. 11-21
3Matematical model. Formal description of a system. Equations as models. [1], pp. 22-23
4Compartment models. [1], pp. 24-31
5Single species population models. Continuous models (Malhus´s, logistic), continuos models with delay. [1], pp. 32-45
6Single species population models - discrete models. Discrete models with delay. [1], pp. 46-61
7Two-species population models. Predator-prey model [1], pp. 62-73
8Two-species population models. Competition models. Cooperating populations model (symbiosis) [1], pp. 74-79
9Epidemiological models. Basicí ckoncept. Models SIR, SI, SIS, SEIR [1], pp. 80-90
10Veneric diseases dynamics models. [1], pp. 91-95
11Modalké modelling of pharmacokinetics. [1], pp. 102-104
12Distribution of metabolites in an organism. General model of pharmaceuticals effects. [1], pp. 105-115
13Parameters identification. Criterial function, optimization algorithms. [1], pp. 116-129
14Reserve
- Syllabus of tutorials:
-
1Deriving of medelling laws from generally known models.
2Experiment planning. Forrester´s model of the world. Relations between the government and people. Synthesis and deckomposition.
3Examples of simple mathematical models from veryday life.
4Drug secretion. Food intake system. Iodine distribution in mammal organisms.
5Examples of models based on the logistic function.
6Age-structured population models (Leslie´s model)
7Practical examples (dynamics of predator-prey population dynamics)
8Predator-prey models with delay.
9Flu epidemic in an English boy´s boarding school; plague epidemic in Bombay
10AIDS development model for a homosexual population
11Some simple problems of drug distribution.
12Pharmacokinetics models examples.
13Special software for modelling and simulations
14Reserve
- Study Objective:
-
To show students the methodology how to develop models of selected biological systems.
- Study materials:
-
Basic:
[1] Jiří Holčík: Modelování a simulace biologických systémů, Nakladatelství ČVUT, Praha, 2006, 133 str., ISBN 80-01-03470-4
Supplementary:
[2] J. Mazumdar: An Introduction to Mathematical Physiology and Biology, Second
Edition, Cambridge University Press, 1999, ISBN 978-0-521-64675-8
[3] Vincent C. Rideout, Mathematical and Computer Modeling of Physiological Systems, Prentice-Hall, 1991, ISBN 978-0135633540
- Note:
- Time-table for winter semester 2011/2012:
-
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Fri Thu Fri - Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans: