Geodesic
Modeling of the substances dynamics within a self-consistent model of a systemic circle of blood circulation
Matematičeskoe modelirovanie, Tome 35 (2023) no. 11, pp. 3-20

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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. 
@article{MM_2023_35_11_a0,
     author = {M. V. Abakumov and S. I. Mukhin and K. M. Mysova and A. Yu. Pokladyuk and A. B. Khrulenko},
     title = {Modeling of the substances dynamics within a self-consistent model of a systemic circle of blood circulation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--20},
     publisher = {mathdoc},
     volume = {35},
     number = {11},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2023_35_11_a0/}
}
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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. Matematičeskoe modelirovanie, Tome 35 (2023) no. 11, pp. 3-20. http://geodesic.mathdoc.fr/item/MM_2023_35_11_a0/