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Mathematical Modeling of the Transient Processes in the Blood Flow Along a Vessel at the Presence of Circular Clot

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Abstract

Considered a periodical hydro dynamical processes at the blood flow in a vessel with the presence of the circular clot. The mathematical description is based on the general equations of blood filtration in a porous medium of the clot. Finite-difference scheme and numerical algorithm have been developed. With the use of computational experiments 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

This work was 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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Authors and Affiliations

  1. Innopolis University, 420500, Innopolis, Russia

    I. V. Konyukhov, V. D. Bliznyukov & V. M. Sim

  2. Kazan Branch of Joint Supercomputer Center, Scientific Research Institute of System Analysis, Russian Academy of Sciences, 420111, Kazan, Russia

    I. V. Konyukhov & M. G. Khramchenkov

  3. Kazan (Volga Region) Federal University, 420008, Kazan, Russia

    V. M. Konyukhov

  4. Institute of Geology and Petroleum Technologies, Kazan Federal University, 420008, Kazan, Russia

    M. G. Khramchenkov

Authors
  1. I. V. Konyukhov
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  2. V. M. Konyukhov
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  3. M. G. Khramchenkov
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  4. V. D. Bliznyukov
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  5. V. M. Sim
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Corresponding authors

Correspondence to I. V. Konyukhov, V. M. Konyukhov, M. G. Khramchenkov, V. D. Bliznyukov or V. M. Sim.

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Konyukhov, I.V., Konyukhov, V.M., Khramchenkov, M.G. et al. Mathematical Modeling of the Transient Processes in the Blood Flow Along a Vessel at the Presence of Circular Clot. Lobachevskii J Math 44, 5332–5340 (2023). https://doi.org/10.1134/S1995080223120235

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