Filtration Model of a Blood Flow in the Circulatory System at the Risk of Clot Breakage

Filtration Model of a Blood Flow in the Circulatory System at the Risk of Clot Breakage

A mathematical description of a blood flow in the circulatory system based on the general equations of filtration of a multi-component mixture regarding the formation of a porous clot caused by the absorption of the components on the vessel wall and its destruction under the action of hydrodynamic f...

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Veröffentlicht in:Lobachevskii journal of mathematics 2022-12, Vol.43 (12), p.3496-3503
Hauptverfasser: Khramchenkov, M. G., Konyukhov, V. M., Chekalin, A. N., Andreicheva, E. N., Konyukhov, I. V., Zakirov, T. R.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Blood flow
Blood vessels
Circulatory system
Filtration
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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container_end_page 3503
container_issue 12
container_start_page 3496
container_title Lobachevskii journal of mathematics
container_volume 43
creator Khramchenkov, M. G.
Konyukhov, V. M.
Chekalin, A. N.
Andreicheva, E. N.
Konyukhov, I. V.
Zakirov, T. R.
description A mathematical description of a blood flow in the circulatory system based on the general equations of filtration of a multi-component mixture regarding the formation of a porous clot caused by the absorption of the components on the vessel wall and its destruction under the action of hydrodynamic forces has been performed. The influence of the shape and the structure of a clot formed at the blood vessel wall on the main hydrodynamic characteristics determining the probability of a clot breakage from the wall has been analyzed.
doi_str_mv 10.1134/S1995080222150124
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identifier ISSN: 1995-0802
ispartof Lobachevskii journal of mathematics, 2022-12, Vol.43 (12), p.3496-3503
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source SpringerNature Journals
subjects Algebra
Analysis
Blood flow
Blood vessels
Circulatory system
Filtration
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
title Filtration Model of a Blood Flow in the Circulatory System at the Risk of Clot Breakage
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