Course detail

Models in Biology and Epidemiology

FEKT-AMODAcad. year: 2010/2011

Biological system, classification and description of properties. A generalised approach to modelling of biological systems, analysis of models of biological systems (equilibrium states and their stability). Compartment models. Simulation of the behaviour of biological systems. Description of characteristic models of biological systems (models of the basic organism subsystems, models of biochemical processes, epidemiological models).

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Radovan Jiřík, Ph.D.

Department

Department of Biomedical Engineering (UBMI)

Learning outcomes of the course unit

The ability to perform synthesis and analysis of biological systems, implementation of mathematical models in MATLAB and SIMULINK.

Prerequisites

Knowledge at secondary school level and of completed subjects in the study area

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Requirements are specified in guarantor´s regulation updated for every academic year.

Course curriculum

Classification and description of biological systems. Construction and analysis of models of biological systems. Simulation of the behaviour of biological systems.

Work placements

Not applicable.

Aims

To demonstrate the mehods of modelling and analysis of biological systems and simulation algorithms.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified in guarantor´s regulation updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

JIŘÍK,R.: Modely v biologii a epidemiologii. El. skripta VUT v Brně, 2006. (CS)
Holčík, J., Fojt, O.: Modelování biologických systémů (Vybrané kapitoly), skripta VUT v Brně, 2001. (CS)

Recommended reading

Pazourek,J.: Simulace biologických systémů. GRADA, Praha 1992. (CS)
V. Eck, M. Razím, Biokybernetika, skripta ČVUT v Praze, 1998. (CS)

Classification of course in study plans

  • Programme BTBIO-A Bachelor's

    branch A-BTB , 3. year of study, summer semester, compulsory

  • Programme EEKR-CZV lifelong learning

    branch ET-CZV , 1. year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Ing. Martin Vítek, Ph.D.

Syllabus

1. Syllabus: Basic concepts of modelling and simulation. Objectives and results of modelling.
2. Classification of biological systems and their models.
3. A general outline of the modelling process in biological systems.
4. A generalised approach to modelling of biological systems, examples
5. Computer simulation of the behaviour of biological systems
6. Comparment models – the principle, models of biochemical processes in human organism
7. Continuous models of first-order biological systems and their analysis
8. Continuous models of higher-order `biological systems and their analysis
9. Examples of models of continuous biological systems (the cardiovascular system)
10. Examples of models of continuous biological systems (the respiratory system)
11. Discrete models of first-order biological systems and their analysis
12. Discrete models of higher-order biological systems and their analysis
13. Examples of models of discrete biological systems (epidemiological models)

Exercise in computer lab

13 hours, optionally

Teacher / Lecturer

Ing. Martin Mézl, Ph.D.
Ing. Vladimír Slávik

Syllabus

1. Introduction to modelling in MATLAB and SIMULINK
2. Windkessel models of the cardiovascular system
3. Windkessel models of the cardiovascular system
4. Models of the respiratory system
5. Models of the respiratory system
6. Models of the digestive system
7. Models of the digestive system
8. Pharmacokinetical models
9. Pharmacokinetical models
10. Epidemiological models
11. Epidemiological models
12. Presentation of projects
13. Presentation of projects

The other activities

13 hours, compulsory

Teacher / Lecturer

doc. Ing. Radovan Jiřík, Ph.D.

Syllabus

- the characteristics and behaviour of the biological system
- design of model structure
- model implementation
- model analysis
- simulation of model behaviour
- examination of specific charateristics of the model related to real situations in the modelled system
- report
- presentation