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Matematicheskoe modelirovanie, 2023, Volume 35, Number 11, Pages 3–20
DOI: https://doi.org/10.20948/mm-2023-11-01
(Mi mm4501)
 

This article is cited in 1 scientific paper (total in 1 paper)

Modeling of the substances dynamics within a self-consistent model of a systemic circle of blood circulation

M. V. Abakumov, S. I. Mukhin, K. M. Mysova, A. Yu. Pokladyuk, A. B. Khrulenko

Lomonosov Moscow State University
References:
Abstract: The considered model is based on quasi-one-dimensional equations of hemodynamics and a model of convection-diffusion substance transfer along a closed highly detailed graph of elastic vessels corresponding to a systemic circulation. The complexity of the considered graph led to the further development of the used CVSS software package and to the new detailing of the constructed models, that describe the functions of absorption and secretion of substances by organs and tissues. The obtained models enable the conduction of a series of numerical experiments that reproduce the process of insulin and glucose transfer in the systemic circulatory circle.
Keywords: mathematical modeling, substance transfer, hemodynamics, insulin, glucose.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-284
Received: 27.04.2023
Revised: 03.07.2023
Accepted: 03.07.2023
English version:
Mathematical Models and Computer Simulations, 2024, Volume 16, Issue 2, Pages 157–168
DOI: https://doi.org/10.1134/S2070048224020029
Document Type: Article
Language: Russian
Citation: M. V. Abakumov, S. I. Mukhin, K. M. Mysova, A. Yu. Pokladyuk, A. B. Khrulenko, “Modeling of the substances dynamics within a self-consistent model of a systemic circle of blood circulation”, Matem. Mod., 35:11 (2023), 3–20; Math. Models Comput. Simul., 16:2 (2024), 157–168
Citation in format AMSBIB
\Bibitem{AbaMukMys23}
\by M.~V.~Abakumov, S.~I.~Mukhin, K.~M.~Mysova, A.~Yu.~Pokladyuk, A.~B.~Khrulenko
\paper Modeling of the substances dynamics within a self-consistent model of a systemic circle of blood circulation
\jour Matem. Mod.
\yr 2023
\vol 35
\issue 11
\pages 3--20
\mathnet{http://mi.mathnet.ru/mm4501}
\crossref{https://doi.org/10.20948/mm-2023-11-01}
\transl
\jour Math. Models Comput. Simul.
\yr 2024
\vol 16
\issue 2
\pages 157--168
\crossref{https://doi.org/10.1134/S2070048224020029}
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  • https://www.mathnet.ru/eng/mm/v35/i11/p3
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Математическое моделирование
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    References:36
    First page:12
     
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