Course detail

Models in Biology and Epidemiology

FEKT-AMODAcad. year: 2011/2012

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

Ing. Martin Vítek, 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

Holčík, J., Fojt, O.: Modelování biologických systémů (Vybrané kapitoly), skripta VUT v Brně, 2001. (CS)
JIŘÍK,R.: Modely v biologii a epidemiologii. El. skripta VUT v Brně, 2006. (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 EE-FLE , 1 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Martin Vítek, Ph.D.

Syllabus

1. Modelling and simulation - fundamental terms, classification of models
2. Modelling and simulation - identification of model parameters, ways of describing the model
3. Mathematical and computer models - analysis of the mathematical model, computer models and simulations
4. Models of single species populations - continuous: Malthus, Pearl-Verhulst and Hutchinson
5. Models of single species populations - discrete: Malthus, Pearl-Verhulst, Hutchinson and Leslie
6. Models of two species populations - predator-prey: Lotka-Volterra and Kolmogorov
7. Models of two species populations - competitive and mutualistic populations
8. Models of cardiovascular system - hemodynamic parameters, Windkessel models
9. Models of action potential impulse - Hodgkin-Huxley model
10. Models of respiratory system - mechanical ventilatory
12. Pharmacokinetical models - compartment model of diffusion, pharmacokinetic parameters, single compartment models
12. Pharmacokinetical models - two compartment models and three compartment models
13. Epidemiological models - models SIR, SEIR, SI a SIS

Exercise in computer lab

13 hod., optionally

Teacher / Lecturer

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

Syllabus

1. Modelling and simulation
2. Models of single species populations
3. Models of two species populations
4. Models of cardiovascular system
5. Pharmacokinetical models
6. Epidemiological models