Course detail

Biological system modelling

FEKT-MMOBAcad. year: 2012/2013

Biological (medical and ecological) system, desriction of its properties. Theoretical approaches used for modeling of biologcial systems (compartment systems, deterministic chaos). Description of basic biological models - models of population dynamics, epidemiological models, models of biochemical processes, models of tissue structure, examples of basic models of human organism

Language of instruction

Czech

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 the function of biological systems and to 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 the 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 modeling of 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

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 EEKR-M Master's

    branch M-BEI , 1 year of study, winter semester, elective specialised

  • Programme EEKR-M Master's

    branch M-BEI , 1 year of study, winter semester, compulsory

  • Programme EEKR-M Master's

    branch M-KAM , 2 year of study, winter semester, elective interdisciplinary

  • Programme EEKR-M Master's

    branch M-KAM , 2 year of study, winter semester, elective interdisciplinary

  • Programme EEKR-CZV lifelong learning

    branch EE-FLE , 1 year of study, winter 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 - 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 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