1. komponenta

Vrsta nastave	Ukupno
Predavanja	30
Auditorne vježbe	30

* Opterećenje je izraženo u školskim satima (1 školski sat = 45 minuta)

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.

1. Mathematical models in biology. Reprint of the 1988 original. Classics in Applied Mathematics, 46, L. Edelstein-Keshet, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2005.
2. Partial differential equations, Lawrence C. Evans, AMS, Providence, 2010.
3. Mathematical biology. I. An introduction, J.D. Murray, Springer-Verlag, New York, 2002.
4. Mathematical biology. II. Spatial models and biomedical applications. Third edition. Interdisciplinary Applied Mathematics, 18, J.D. Murray, Springer-Verlag, New York, 2003.
5. Mathematical biology. Modeling and analysis, Avner Friedman, American Mathematical Society, Providence, 2018.
6. Mathematical physiology. Vol. I: Cellular physiology. Second edition, James Keener, James Sneyd, Springer, New York, 2009.

Upis predmeta :
Odslušan : Principles of Mathematical Modelling

Polaganje predmeta :
Položen : Principles of Mathematical Modelling

Obavezni predmet - Redovni Studij - Biomedicinska matematika