A mathematical model of platelet deposition and blood coagulation under flow

Speaker

Karin Leiderman
Duke University
http://fds.duke.edu/db/aas/math/karin

Description

To explore how blood flow affects the growth of thrombi (blood clots) and how the growing masses, in turn, feedback and affect flow, we have developed a spatial–temporal mathematical model of platelet deposition and coagulation under flow. The model includes detailed descriptions of coagulation biochemistry, chemical activation and deposition of blood platelets, as well as the two-way interaction between the fluid dynamics and the growing platelet mass. In this talk, I will present the mathematical model and use it to explain what underlies the threshold behavior of the production of an important enzyme within the coagulation system. I will then show how the wall shear rate of flow and a near-wall enhanced platelet concentrations affect the development of growing thrombi. Since we account for the porous nature of thrombi, I am also able to demonstrate how advective and diffusive transport to and within thrombi affects their growth at different stages and spatial locations.

Co-sponsored with BME Dept.