Modelling with Differential Equations

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Modelling with Differential Equations

Code: 239986
ECTS: 6.0
Lecturers in charge: prof. dr. sc. Josip Tambača
Take exam: Studomat
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 30
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE OBJECTIVES:
1. To introduce students to the application of mathematical modelling in the analysis of biomedical systems,
2. To show how mathematics, especially partial differential equations and computing can be used in an integrated way to analyse biomedical systems.

COURSE CONTENT:
1. Reaction kinetics. Michaelis-Menten kinetics, sigmoidal kinetics, oscillators and switches.
2. Dynamical behaviour of neuronal membranes. Hodgkin-Huxley model, Fitzhugh-Nagumo model.
3. Introduction in partial differential equations in biology. Conservation, convection, diffusion and attraction.
4. Traveling wave propagation. Fisher's equation.
5. Biological pattern formation. Turing model. A chemical basis for morphogenesis.
6. Moving boundary problems. Wound healing, tumour growth.
Literature:
Prerequisit for:
Enrollment :
Attended : Principles of Mathematical Modelling

Examination :
Passed : Principles of Mathematical Modelling
2. semester
Mandatory course - Regular study - Biomedical Mathematics
Consultations schedule: