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Matem. Mod., 2015, Volume 27, Number 2, Pages 3–24 (Mi mm3568)  

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

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


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Received: 21.11.2013

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{http://elibrary.ru/item.asp?id=23421469}


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