Title: A gentle guide to mathematical modeling in biology
Instructor: Dr. Martin Hutzenthaler, Prof. Dirk Metzler
Time:
Block 3 of the winter semester 2010/11 from 30.11.2010 till 22.12.2010
Lecture: Tuesday, Wednesday, Thursday, Friday from 9am to 11am
Exercise: Tuesday, Wednesday, Thursday, Friday from 5pm to 6pm.
No lectures or exercises on Mondays.
Contents: At the end of the course, students are going to be familiar with the mathematical modeling of basic problems from biology. (Examples: Tree-branch model (exponential growth), mouse-cat population (predator-prey), flu dynamics, HIV-model of Phillips (1996), logistic growth model, Lotka-Volterra model of competition, epidemiological models of disease spread). In addition, students will learn how to 'read' at least simple models of research papers. Using life cycle diagrams and flow diagrams, students shall translate simple biological problems into mathematical equations. We will begin with discrete time problems which lead to recursive equations. Later we consider continuous time problems which translate into differential equations. In the last part we proceed to elementary questions from theoretical population genetics which result in random dynamics. In exercise classes, students are going to practice turning toy problems into mathematical equations.
| day | time | room |
|---|---|---|
| Tuesday | 9-11 | D 00.013 |
| Tuesday | 17-18 | B 01.015 |
| Wednesday | 9-11 | D 00.013 |
| Wednesday | 17-18 | B 01.015 |
| Thursday | 9-11 | B 01.015 |
| Thursday | 17-18 | D 00.013 |
| Friday | 9-11 | B 01.015 |
| Friday | 17-18 | D 00.013 / B 01.015 |
Requirements:
None.
Language:
English (German if preferred by all attendees)
Questions:
Please send any questions to hutzenthaler@biologie.uni-muenchen.de
A short email is welcome to estimate the number of attendees.