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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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2022-12, Vol.43 (12), p.3496-3503
Main Authors: Khramchenkov, M. G., Konyukhov, V. M., Chekalin, A. N., Andreicheva, E. N., Konyukhov, I. V., Zakirov, T. R.
Format: Article
Language:English
Subjects:
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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Summary: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222150124