Abstract
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.
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Funding
The work was partially funded by the Joint Supercomputer Center of the Russian Academy of Sciences, Branch of Federal State Institution Scientific Research Institute for System Analysis of the Russian Academy of Sciences. Also, this paper has been supported by the Kazan Federal University Strategic Academic Leadership Program (‘‘PRIORITY-2030’’).
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(Submitted by A. M. Elizarov)
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Khramchenkov, M.G., Konyukhov, V.M., Chekalin, A.N. et al. Filtration Model of a Blood Flow in the Circulatory System at the Risk of Clot Breakage. Lobachevskii J Math 43, 3496–3503 (2022). https://doi.org/10.1134/S1995080222150124
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DOI: https://doi.org/10.1134/S1995080222150124