Course detail

Biological system modelling

FEKT-NMOBAcad. year: 2011/2012

Biological (medical and ecological) system, desriction of its properties. Planning experiments with biological systems. Theoretical approaches used for modelling biologcial systems (compartmental systems, deterministic chaos, fractals, theory of catastrophes, celular systems). Description of basic biological models - models of population dynamics, epidemiological and psychological models, models of biochemical processes, models of tissue structure, examples of basic models of human organism (cardiovascular system, endocrine system, etc.)

Language of instruction

English

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

Ing. Martin Vítek, Ph.D.

Department

Department of Biomedical Engineering (UBMI)

Learning outcomes of the course unit

Capability to analyse function of biological systems and design their models. Implementation of mathematical models in MATLAB and SIMULINK.

Prerequisites

The subject knowledge on the Bachelor´s degree level is requested.

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 for completion of a course are specified by a regulation issued by the lecturer responsible for the course and updated for every.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to provide students with basic approaches and algorithms used for modelling biological (medical and ecological) systems.

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

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Murray, J.D.:Mathematical Biology,Springer Verlag, Berlin 1989. (EN)
ALLMAN, E.S., RHODES, J.A.: Mathematical Models in Biology: An Introduction. Cambridge University Press, 2004. (EN)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme EEKR-MN Master's

    branch MN-BEI , 1. year of study, summer semester, compulsory
    branch MN-KAM , 2. year of study, summer semester, optional interdisciplinary

Type of course unit

 

Lecture

26 hours, 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 - Malthus, Pearl-Verhulst, Hutchinson and Leslie
5. Models of two species populations - predator-prey, competitive and mutualistic populations
6. Models of cardiovascular system - hemodynamic parameters, Windkessel models
7. Models of action potential impulse - Hodgkin-Huxley model
8. Models of respiratory system - mechanical ventilatory
9. Pharmacokinetical models - compartment model of diffusion, pharmacokinetic parameters, multi compartment models
10. Epidemiological models - models SIR, SEIR, SI a SIS
11. Deterministic chaos - chaos in biological systems, fractals in biological systems
12. Catastrophe theory - basic types of catastrophes, butterfly catastrophe‎
13. Discrete event systems - finite-state automata, models of celular and tissue structures, artificial life

Exercise in computer lab

13 hours, optionally

Teacher / Lecturer

Ing. Martin Vítek, 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