A. Lin, A. I. Lobanov, E. A. Pogorelova, “Mathematical models for blood clot growth based on “advection-diffusion” and Fokker-Planck equations”, Computer Research and Modeling, 2014, Volume 6, Issue 2,Pages <nobr>271

ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

Mathematical models for blood clot growth based on “advection-diffusion” and Fokker-Planck equations

A. Lin^a, A. I. Lobanov^ab, E. A. Pogorelova^ac

^a Moscow Institute of Physics and Technology (state university), 9 Institutskii per., Dolgoprudny, Moscow region, 141700, Russia
^b Moscow State Academy of Water Transport, 2/1 Novodanilovskaya naberezhnaya, Moscow, 117105, Russia
^c Center for Theoretical Problems of Physicochemical Pharmacology RAS, Kosygin st., 4, Moscow, 119991, Russia

Abstract: The paper considers models of platelet thrombus formation in blood plasma flow in a cylindrical vessel, based on the “advection-diffusion” equation and the Fokker-Planck equation. The comparison of the results of calculations based on these models is given. Considered models show qualitatively similar behavior at the initial stage of thrombus formation. А detailed investigation of large clots requires models' improvement.

Keywords: shear-induced diffusion, platelets, blood clot, viscous fluid, Fokker-Planck equation,“advection-diffusion”.

UDC: 519.6, 612.1

Received: 28.02.2014

DOI: 10.20537/2076-7633-2014-6-2-271-283