August 31 - September 1: Systems biology course

UMB's Research School in Systems Biology invites all those interested to a course over two days entitled "Switched and Positive Systems in Biology and Elsewhere". The course will be led by Dr. Oliver Mason, Senior Research Fellow at the Hamilton Institute, National University of Ireland.

Time: Monday 31st August and Tuesday 1st September 2009, 09.00 - 12.00.
Place: Dept of Animal and Aquacultural Sciences (IHA), Håkonshallen



Course outline:

* Switched and Hybrid Systems – Fundamentals:

Definitions and basic properties of switched and hybrid systems;  
hybrid automata;
piecewise smooth dynamical systems;
switched linear systems;
differential inclusions;
examples of switched and hybrid systems in biology

 * Stability and Stabilization:

Lyapunov theorems for switched systems;
converse theorems;
common quadratic Lyapunov functions;
piecewise linear and quadratic Lyapunov functions;
multiple Lyapunov functions;
stabilizing switching laws;
swell-time stability results and La-Salle’s invariance principle for switched systems.

 * Positive Switched Systems:

Positive linear systems;
reachability and stability problems;  
switched positive linear systems;
delayed positive systems;
compartmental systems;
monotone and cooperative systems.

  * Applications to Physiological and Genetic Modelling:

Piecewise affine models of gene regulation;
compartmental models in physiology and anaesthesiology;
monotone systems and biochemical reaction networks.