Modelling Biological Processes
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 17MKMBP | Z,ZK | 5 | 2+2 | Czech |
- Lecturer:
- Vladimír Rogalewicz (gar.), Marcel Jiřina
- Tutor:
- Vladimír Rogalewicz (gar.), Marcel Jiřina
- 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:
-
1.Basic notions of modelling and simulation. General techniques. Procedure of model creation and of simulation experiments. [1], pp. 3-10
2.Biological systems and their properties. Experiments with biological systems. Models and their description. [1], pp. 11-21
3.Matematical model. Formal description of a system. Equations as models. [1], pp. 22-23
4.Compartment models. [1], pp. 24-31
5.Single species population models. Continuous models (Malhus´s, logistic), continuos models with delay. [1], pp. 32-45
6.Single species population models - discrete models. Discrete models with delay. [1], pp. 46-61
7.Two-species population models. Predator-prey model [1], pp. 62-73
8.Two-species population models. Competition models. Cooperating populations model (symbiosis) [1], pp. 74-79
9.Epidemiological models. Basicí ckoncept. Models SIR, SI, SIS, SEIR [1], pp. 80-90
10.Veneric diseases dynamics models. [1], pp. 91-95
11.Modalké modelling of pharmacokinetics. [1], pp. 102-104
12.Distribution of metabolites in an organism. General model of pharmaceuticals effects. [1], pp. 105-115
13.Parameters identification. Criterial function, optimization algorithms. [1], pp. 116-129
14.Reserve
- Syllabus of tutorials:
-
1.Deriving of medelling laws from generally known models.
2.Experiment planning. Forrester´s model of the world. Relations between the government and people. Synthesis and deckomposition.
3.Examples of simple mathematical models from veryday life.
4.Drug secretion. Food intake system. Iodine distribution in mammal organisms.
5.Examples of models based on the logistic function.
6.Age-structured population models (Leslie´s model)
7.Practical examples (dynamics of predator-prey population dynamics)
8.Predator-prey models with delay.
9.Flu epidemic in an English boy´s boarding school; plague epidemic in Bombay
10.AIDS development model for a homosexual population
11.Some simple problems of drug distribution.
12.Pharmacokinetics models examples.
13.Special software for modelling and simulations
14.Reserve
- Study Objective:
- Study materials:
-
Basic:
[1].Jiří Holčík: Modelování a simulace biologických systémů, Nakladatelství ČVUT, Praha, 2006, 133 str., ISBN 80-01-03470-4Supplementary:
[2].J. Mazumdar: An Introduction to Mathematical Physiology and Biology, SecondEdition, 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:
- Time-table is not available yet
- Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans: