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Matematicheskoe modelirovanie, 2015, Volume 27, Number 2, Pages 3–24 (Mi mm3568)  
This article is cited in 2 scientific papers (total in 2 papers)

Modeling of blood glucose dynamics with account of systemic loop topology

A. G. Borzova, A. V. Drevalb, S. I. Mukhina

a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Computational Methods Department
b Moscow Regional Scientific-Research Clinical Institute
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Abstract: Paper describes a model of human glucose regulation with account of cardiovascular system topology. It is based on convectional and diffusive transport of insulin and glucose through a closed loop of blood vessels. Main types of interaction between substances and organs/tissues are taken into account. Presented approach shows possibility to simulate basic glucose regulation mechanisms with respect to cardiovascular topology.
Keywords: mathematical modeling, diabetes, insulin, glucose, substance transport.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 8208
Received: 21.11.2013
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Borzov, A. V. Dreval, S. I. Mukhin, “Modeling of blood glucose dynamics with account of systemic loop topology”, Matem. Mod., 27:2 (2015), 3–24
Citation in format AMSBIB
\Bibitem{BorDreMuk15}
\by A.~G.~Borzov, A.~V.~Dreval, S.~I.~Mukhin
\paper Modeling of blood glucose dynamics with account of systemic loop topology
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 2
\pages 3--24
\mathnet{http://mi.mathnet.ru/mm3568}
\elib{https://elibrary.ru/item.asp?id=23421469}
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  • https://www.mathnet.ru/eng/mm/v27/i2/p3
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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