Abstract:
Hemostatic system serves the organism for urgent repairs of damaged blood vessel walls. Its main
components — platelets, the smallest blood cells, — are constantly contained in blood and quickly adhere to the
site of injury. Platelet migration across blood flow and their hit with the wall are governed by blood flow conditions
and, in particular, by the physical presence of other blood cells — erythrocytes. In this review we consider
the main regularities of this influence, available mathematical models of platelet migration across blood flow and
adhesion based on "convection-diffusion" PDEs, and discuss recent advances in this field. Understanding of the
mechanisms of these processes is necessary for building of adequate mathematical models of hemostatic system
functioning in blood flow in normal and pathological conditions.
Citation:
A. A. Tokarev, A. A. Butylin, F. I. Ataullakhanov, “Platelet transport and adhesion in shear blood flow: the role of erythrocytes”, Computer Research and Modeling, 4:1 (2012), 185–200
\Bibitem{TokButAta12}
\by A.~A.~Tokarev, A.~A.~Butylin, F.~I.~Ataullakhanov
\paper Platelet transport and adhesion in shear blood flow: the role of erythrocytes
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 1
\pages 185--200
\mathnet{http://mi.mathnet.ru/crm479}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-1-185-200}
Linking options:
https://www.mathnet.ru/eng/crm479
https://www.mathnet.ru/eng/crm/v4/i1/p185
This publication is cited in the following 5 articles:
A. A. Aksenov, S. V. Zhluktov, M. D. Kalugina, V. S. Kashirin, A. I. Lobanov, D. V. Shaurman, “Redutsirovannaya matematicheskaya model svertyvaniya krovi s uchetom pereklyucheniya aktivnosti trombina kak osnova otsenki vliyaniya gemodinamicheskikh effektov i ee realizatsiya v pakete FlowVision”, Kompyuternye issledovaniya i modelirovanie, 15:4 (2023), 1039–1067
N. Bessonov, A. Sequeira, S. Simakov, Yu. Vassilevskii, V. Volpert, V. Volpert, “Methods of Blood Flow Modelling”, Math. Model. Nat. Phenom., 11:1 (2016), 1
A. Lin, A. I. Lobanov, E. A. Pogorelova, “Matematicheskie modeli rosta tromba na osnove uravnenii tipa «advektsiya-diffuziya» i Fokkera-Planka”, Kompyuternye issledovaniya i modelirovanie, 6:2 (2014), 271–283
N. Bessonov, E. Babushkina, S. F. Golovashchenko, A. Tosenberger, F. Ataullakhanov, M. Panteleev, A. Tokarev, V. Volpert, A. Sequeira, V. Volpert, “Numerical Modelling of Cell Distribution in Blood Flow”, Math. Model. Nat. Phenom., 9:6 (2014), 69
A. Tosenberger, F. Ataullakhanov, N. Bessonov, M. Panteleev, A. Tokarev, V. Volpert, “Modelling of thrombus growth in flow with a DPD-PDE method”, Journal of Theoretical Biology, 337 (2013), 30
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