Abstract:
A mathematical model of aggregation and destruction of erythrocytes clots in the shear flow is constructed. Calculations show the influence of shear stress realized in a blood shear flow on the average size of clots. It is also shown that the bosoms of aneurysms create conditions for formation of the large agglomerates, which can result to the thrombosis of a considered part of blood vessel.
Citation:
S. E. Kornelik, E. K. Borzenko, A. N. Grishin, M. A. Bubenchikov, V. I. Stoliyarov, “Formation and destruction of the erythrocytes clots in the vessel with local expansion”, Mat. Model., 20:1 (2008), 3–15; Math. Models Comput. Simul., 1:1 (2009), 1–10
\Bibitem{KorBorGri08}
\by S.~E.~Kornelik, E.~K.~Borzenko, A.~N.~Grishin, M.~A.~Bubenchikov, V.~I.~Stoliyarov
\paper Formation and destruction of the erythrocytes clots in the vessel with local expansion
\jour Mat. Model.
\yr 2008
\vol 20
\issue 1
\pages 3--15
\mathnet{http://mi.mathnet.ru/mm2133}
\zmath{https://zbmath.org/?q=an:1150.93301}
\transl
\jour Math. Models Comput. Simul.
\yr 2009
\vol 1
\issue 1
\pages 1--10
\crossref{https://doi.org/10.1134/S2070048209010013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929103376}
Linking options:
https://www.mathnet.ru/eng/mm2133
https://www.mathnet.ru/eng/mm/v20/i1/p3
This publication is cited in the following 2 articles:
D. V. Georgievskii, “Effect of yield stress on flow rates in one-dimensional shear flows of nonlinear viscous media”, J. Appl. Mech. Tech. Phys., 64:2 (2023), 349–354
S. V. Sindeev, S. V. Frolov, “Modeling of cardiovascular system hemodynamics with cerebral aneurysm”, Math. Models Comput. Simul., 9:1 (2017), 108–119
Citation in format AMSBIB
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