An introduction to the mathematical modeling of blood clotting

Tuesday, September 14, 2010 - 11:15am - 12:00pm
Lind 305
Aaron Fogelson (The University of Utah)
The intertwined processes of platelet deposition and coagulation can
lead to the development of blood clots inside a blood vessel or on an
implanted medical device. Their disregulation is responsible for
immense morbidity and mortality, particularly in the western world.

The development of a blood clot involves complex interactions of diverse
type (e.g., biochemistry, cell signaling and adhesion, fluid dynamics)
on diverse spatial and temporal scales. Exploring how these
interactions function together as a system is a task for which
mathematical/computational modeling is well suited.

In this tutorial talk, I will give a brief introduction to the
biology, chemistry, and physics of blood clotting, and I will describe
two of our recent efforts to model different aspects of clotting.
Both models include the formation of platelet masses (thrombi)
adherent to the vascular wall. In one model the developing mass is
treated as a porous material whose porosity evolves with the addition
of platelets to the thrombus. This model includes a comprehensive
treatement of the coagulation system and its interaction with platelet
deposition. The other model emphasizes the evolution of the thrombus'
mechanical properties as it forms (and sometimes breaks up) in
situations in which fluid-mediated stresses vary substantially.
MSC Code: