Analysis Seminar - 15/10/2014

Wednesday, 15 October 2014, 2:00 p.m.

Lecturer: Jevgenija Pavlova, CEMAT/IST

Title: "A mathematical model approach to understand human blood clotting dynamics"

Local: Room 1.6, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica

Abstract: In this talk the mathematical model for blood coagulation will be discussed. The model incorporates multiple interactions between the molecular and cellular components - presented in blood and vessel walls - that are influenced by the flowing blood. It also addresses the following aspects: mathematical model reduction in terms of the biochemical network to simplify the model complexity and importance of the blood slip velocity in case of blood coagulation. The model consists of a system of thirteen non-linear reaction-advection-diffusion partial differential equations that describe the chain of biochemical reactions, coupled with an incompressible non-Newtonian shear-thinning viscosity model for the blood flow. Numerical results in two- and three-dimensional cases using the finite element method will be performed. Moreover, several cases of coagulation disorders leading to system perturbations will be shown and compared with experimental results.