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Reaction Diffusion Systems in Biology
Lecture course in winter-semester 2012/2013 consisting of 15 lectures in total
Dr. Sergio Alonso
October 22, 2012 - February 11, 2013
Day, time, and place
Mondays, 10 - 12h
in room EW 731 at TU Berlin.
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
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.
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