Inhalt des Dokuments
Reaction Diffusion Systems in Biology
Lecture course in winter-semester 2012/2013 consisting of 15 lectures in total
Lecturer:
Dr. Sergio Alonso
(PTB Berlin)
Period:
October 22, 2012 - February 11, 2013
Day, time, and place
Mondays, 10 - 12h
in room EW 731 at TU Berlin.
Abstract
The focus of the course will be on the quantitative mathematical modelling of biological processes by reaction-diffusion systems both on the inter- and intracellular level. The lecture course will also provide an introduction to numerical methods for the solution of reaction-diffusion equations.
Various examples that will be considered range from physiology to wave dynamics and symmetry breaking inside cells:
- intracellular calcium dynamics and intracellular metabolic processes (e.g. glycolysis, phosphorylation of proteins),
- waves of electric activity in cardiac tissue (including their importance for cardiac arrhythmia as tachycardia and fibrillation),
- lipid domain formation at membranes at mesoscopic scales, and
- polarization processes prior to cell migration or morphogenesis.
More general aspects studied include the use of numerical bifurcation and stability analysis, the impact of spatio-temporal noise and heterogeneities, three-dimensional traveling waves, as well as control of pattern formation in reaction-diffusion systems.