Mathematical modeling of blood clot formation under flow and microorganism motility in heterogeneous fluids

Start: 03/09/2016 - 4:15pm
End  : 03/09/2016 - 5:15pm


Karin Leiderman (UC Merced)


Many biological fluid environments are inherently heterogeneous, comprised of macromolecules, polymers networks, and/or cells. These environments can be thought of, in some sense, as fluids interacting with biological porous materials. In this talk I will describe mathematical models of two such situations: dynamic formation of blood clots under flow and motility of microorganisms through the reproductive tract. The model of clot formation was developed to better understand the interplay between flow-mediated transport of clotting proteins and cells, blood cell deposition at an injury site, complex clotting biochemistry, and the overall effect of these on clot formation. A derivation of hindrance coefficients for the advection and diffusion of clotting proteins will be presented. Results show that the effects of such hindrance are profound and suggest a possible physical mechanism for limiting clot growth. Next I will describe regularized fundamental solutions to the governing equations of flow through porous material and the corresponding numerical method used to model a swimming microorganism. Results show that for certain ranges of porosity of the material through which they swim, a single swimmer's propulsion is faster and more efficient, and two swimmers are attracted toward one another.

Argue Auditorium, Millikan, Pomona College