FMAN01F

Temporary

Biomathematics

7.5

Course given jointly for second and third cycle

7151 (Centre of Mathematical Sciences / Mathematics)

 -01-27

FN1/Anders Gustafsson

English

Every other spring semester

The course is established in order to introduce doctoral students to the usage of mathematical models for biological problems. Important applications where mathematical models are useful are e.g. within population dynamics, spreading of contageous diseases and midication.

A further aim is to prepare the student for further studies in e.g. biological systems or evolution biology.

Population growth. Non-linear difference equations. Evolution dynamics. Continuous models. Phase plane methods. Molecule dynamics. The cell cycle. Limit cycles, oscillations and excitable systems. Modelling of diffusion. PDE-models. Pattern formation.

be able to present clearly and independently use basic mathematical concepts in biology, in particular regarding cell modelling, evolution dynamics and diffusion phenomena.

be able to present and give an informal explanation of the mathematical theory behind some central biological models, such as non-linear difference equations, non-linear differential equations and reaction-diffusion equations.

be able to use computer packages to simulate solutions of biological problems.

be able to show good capability to independently identify biological problems which can be solved with mathematical modelling, and be able to choose an appropriate method.

be able to independently apply basic modelling to biological problems which are relevant in industrial applications and research.

with proper terminology, in a well structured way and with clear logic be able to explain the solution to a biological modelling problem.

Lectures

Laboratory exercises

Written exam

Oral exam

Written assignments

Failed, pass

Edelstein-Keshet, L.: Mathematical Models in Biology. McGraw-Hill College, 1988. ISBN 9780075549505.

FMAN01F

 -01-27

FN1/Anders Gustafsson