Geodesic
Modeling of blood glucose dynamics with account of systemic loop topology
Matematičeskoe modelirovanie, Tome 27 (2015) no. 2, pp. 3-24

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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
Mots-clés : substance transport. 
@article{MM_2015_27_2_a0,
     author = {A. G. Borzov and A. V. Dreval and S. I. Mukhin},
     title = {Modeling of blood glucose dynamics with account of systemic loop topology},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--24},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_2_a0/}
}
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A. G. Borzov; A. V. Dreval; S. I. Mukhin. Modeling of blood glucose dynamics with account of systemic loop topology. Matematičeskoe modelirovanie, Tome 27 (2015) no. 2, pp. 3-24. http://geodesic.mathdoc.fr/item/MM_2015_27_2_a0/