Speaker : Frederic Weller
Abstract: Modeling Thrombosis and Hemostasis.

Hemostasis is the physiological mechanism that stops bleeding, thrombosis its pathological counterpart. Since heart attacks and strokes account for the majority of deaths in the western society, both gained much interest in medicine and biology, as well as in engineering and material sciences.
Mathematical modeling is used to get a better understanding of the underlying mechanisms. Three different approaches are presented. Firstly, the complicated cascade of chemical reactions during hemostasis is adressed by a system of ordinary differential equations. Numerical results show basic features of the system, like threshold behavior and feedback amplification. Secondly, the strong influence of fluid dynamics on the adhesion of blood platelets to injured tissue is confirmed by simulation of a PDE model. Starting from this, first steps are made towards modeling the growth of platelet aggregates, which eventually leads to a free boundary problem.