### Lecture: Dynamical Systems in Biology - From Mathematical Biology to Systems Biology (Advanced Theory)

###
The lecture is suitable for mathematically interested students of biology and medicine, and also for bachelor students of physics

### Time: Wednesday 12-14, Thursday 12-14

### Location: SR I

### Computer exercises: Wednesday 14-16, CIP Pool

####
If you do not have an account for the CIP-pool, please, get one
here

### Start: April 26, 2017

### Previous knowledge: Classical mechanics, differential equations

### Literature:

**J.D. Murray: Mathematical Biology **
** J. Keener, J. Sneyd: Mathematical Physiology **
** L. Alberhina, H.V. Westerhoff: Systems Biology **
** E. Klipp et al.: Systems Biology in Practice **

The physically motivated mathematical modelling of the dynamics of
biological systems provides a mean to turn the typically rather
qualitative field of biology quantitative and predictive.
While the well established area of
Mathematical Biology investigates simple systems, the young field
of Systems Biology considers the behavior of complex networks.
In this lecture, we will discuss the biological basics of selected
models and their mathematical and physical properties.

###
News:

- The second hour of the lecture on Thursday, July 20, we will have
a question time ''What you ever wanted to ask about dynamical
systems in biology but never dared to ask''
- The guided tour through our cathedral (in German, sorry) will take place Thursday,
July 27, 12:15. Meeting place: Historisches Kaufhaus
- The written exam will take place Wednesday, July 26, 12:15 in HS II
- Prüfungsleistung: The mark of the written exam, Studienleistung: Pass the written exam

### Preliminary Programme

- Mathematical Biology
- Populationdynamics
- Models of neurons
- Pattern formation
- Enzym dynamics

- Systems Biology
- Metabolic Networks
- Signal transduction cascades
- Gene regulation

**The
lecture notes are up to date for the next lecture at midnight the day
before
**

Slides for the last lecture:

### The exercises:

- Introduction,
Tutorial 0, Solution
- Tutorial 1, Solution
- Tutorial 2, Solution
- Tutorial 3, Solution
- Tutorial 4, Solution, HH R-Script
- Tutorial 5, Solution
- Tutorial 6, Solution
- Tutorial 7, Solution
- Tutorial 8, Solution
- Tutorial 9, Solution
- Tutorial 10, Solution