(Created 2011-09-01.)

BIOMATHEMATICS | FMAN01 |

**Aim**

The main aim of the course is to give a basic introduction to mathematical theory and methods in biology, with enough scope to enable the student to handle biologically phrased problems. An additional aim is to help the student develop his or her ability in problem solving, with or without a computer. A further aim is to prepare the student for further studies in e.g. biological systems or evolution biology.

*Knowledge and understanding*

For a passing grade the student must

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.

*Skills and abilities*

For a passing grade the student must

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.

**Contents**

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.

**Literature**

Edelstein-Keshet, L: Mathematical Models in Biology, SIAM 2004 ISBN 0-07-554950-6.