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Computer Research and Modeling, 2014, Volume 6, Issue 2, Pages 271–283
DOI: https://doi.org/10.20537/2076-7633-2014-6-2-271-283 (Mi crm320) 		 
ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

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

A. Lina, A. I. Lobanovab, E. A. Pogorelovaac

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
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DOI: https://doi.org/10.20537/2076-7633-2014-6-2-271-283
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”.
Received: 28.02.2014
Document Type: Article
UDC: 519.6, 612.1
Language: Russian
Citation: 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, 6:2 (2014), 271–283
Citation in format AMSBIB
\Bibitem{LinLobPog14}
\by A.~Lin, A.~I.~Lobanov, E.~A.~Pogorelova
\paper Mathematical models for blood clot growth based on ``advection-diffusion'' and Fokker-Planck equations
\jour Computer Research and Modeling
\yr 2014
\vol 6
\issue 2
\pages 271--283
\mathnet{http://mi.mathnet.ru/crm320}
\crossref{https://doi.org/10.20537/2076-7633-2014-6-2-271-283}
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