Geodesic
Computing experiment with mathematical model of type 1 diabetes
Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 41-51 
A. I. Astrovskii. Computing experiment with mathematical model of type 1 diabetes. Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 41-51. http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a3/
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     author = {A. I. Astrovskii},
     title = {Computing experiment with mathematical model of type 1 diabetes},
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     pages = {41--51},
     year = {2021},
     volume = {29},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the mathematical model of type 1 diabetes that simulates the glucose-insulin interaction in the patient's body (Hovorka model), a mathematical description of food intake is proposed, taking into account the time, duration, and weight of carbohydrate food ingested. Changes over time of the main variables characterizing the patient are presented in the form of a system of ten ordinary differential equations. The results of the computational experiment are presented in graphical form.

[1] Karpelov V.A., Fillipov Yu.I., Tarasov Yu.V., Boyarskii M.D., Maiorov A.Yu., Shestakova M.V., Dedov I.I., “Matematicheskoe modelirovanie sistemy regulirovaniya glikemii u patsientov s sakharnym diabetom”, Vestnik RAMN, 70:5 (2015), 549–560 | DOI

[2] Astrovskii A.I., Gaishun I.V., Lineinye sistemy s kvazidifferentsiruemymi koeffitsientami: upravlyaemost i nablyudaemost dvizhenii, Belaruskaya navuka, Minsk, 2013

[3] Astrovskii A.I., Gaishun I.V., “Observability of Linear Time-Varying Systems with Quasi-derivative Coefficients”, SIAM J. Control and Optimization, 57:3 (2019), 1710–1729 | DOI | MR | Zbl

[4] Astrovskii A.I., Gaishun I.V., “Otsenivanie sostoyanii lineinykh nestatsionarnykh sistem nablyudeniya”, Differentsialnye uravneniya, 55:3 (2019), 370–379 | DOI | Zbl

[5] Hovorka R., Canonico V., Chassin L.J. and etc., “Nonlinear model predictive control of glucose concentration in subjects with type 1 diabetes”, Physiological Measurement, 25 (2004), 905–920 | DOI