Course detail

Models in Biology and Epidemiology

FEKT-AMODAcad. year: 2009/2010

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

doc. Ing. Radovan Jiřík, Ph.D.

Syllabus

1. Organization, overview
1.1. Purpose of modeling
1.2. Classification of models
1.3. Models of static systems
1.4. Models of dynamic systems with lumped parameters
1.5. Models of dynamic systems with distributed parameters
2. Models based on analogy with electrotechnical systems
2.1. Generalized system properties
2.2. Model of cardiovascular system
2.3. Model of airway system
2.4. Model of diffusion in cells
3. Compartment models
3.1. Compartment models in diagnostics
4. Pharmacokinetic models
4.1. Basic pharmacokinetic parameters
4.2. One-compartment pharmacokinetic models
4.3. Multi-compartment pharmacokinetic models
4.4. Pharmacokinetic models in perfusion imaging
5. Discrete epidemiological models
5.1. SIR models
5.2. SI models
5.3. SIS models
5.4. Furter modifications of epidemiological models

Exercise in computer lab

13 hours, optionally

Teacher / Lecturer

Ing. Michal Bartoš, Ph.D.
Ing. Martin Valla

Syllabus

1. Modeling of cardiovacular system
2. Simulation of continuous models
3. Pharmacokinetic models
4. Perfusion imaging
5. epidemiological models 1
6. epidemiological models 2

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