Geodesic
Mathematical modeling of cardio-vascular hemodynamics with account of neuroregulation
Matematičeskoe modelirovanie, Tome 19 (2007) no. 3, pp. 15-28 
V. B. Koshelev; S. I. Mukhin; T. V. Sokolova; N. V. Sosnin; A. P. Favorski. Mathematical modeling of cardio-vascular hemodynamics with account of neuroregulation. Matematičeskoe modelirovanie, Tome 19 (2007) no. 3, pp. 15-28. http://geodesic.mathdoc.fr/item/MM_2007_19_3_a1/
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     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_3_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this article some unlocal mathematical models of arterial pressure neuroregulation in the closed cardio-vascular system are constructed and investigated. Principal models of baroreceptor action, regulation of vascular tone, fullability of tissue capillaries, cardio rhythm are constructed. Their separate and aggregate influence on arterial pressure maintenance is investigated. The results of calculations confirming physiological adequacy of the constructed models are furnished.

[1] V. A. Lukshin, S. I. Mukhin, T. V. Sokolova, N. V. Sosnin, A. P. Favorskii, Matematicheskaya model gidrodinamiki tserebralnogo krovoobrascheniya, Preprint. M., MAKS Press, 2000

[2] M. V. Abakumov, K. V. Gavrilyuk, N. B. Esikova, V. B. Koshelev, A. V. Lukshin, S. I. Mukhin, N. V. Sosnin, V. F. Tishkin, A. P. Favorskii, “Matematicheskaya model gemodinamiki serdechno-sosudistoi sistemy”, Differentsialnye uravneniya, 33:7 (1997), 892–898 | MR | Zbl

[3] M. V. Abakumov, I. V. Ashmetkov, N. B. Esikova, V. B. Koshelev, S. I. Mukhin, N. V. Sosnin, V. F. Tishkin, A. P. Favorskii, A. B. Khrulenko, “Metodika matematicheskogo modelirovaniya serdechno-sosudistoi sistemy”, Matematicheskoe modelirovanie, 12:2 (2000), 106–117 | MR | Zbl

[4] A. Ya. Bunicheva, S. I. Mukhin, N. V. Sosnin, A. P. Favorskii, A. B. Khrulenko, “Matematicheskoe modelirovanie nekotorykh prikladnykh zadach gemodinamiki”, Prikladnaya matematika i informatika, vyp. 9, MAKS Press, M., 2001, 91–132

[5] A. G. Kamkina, A. A. Kamenskogo, Fundamentalnaya i klinicheskaya fiziologiya, ed. Kamenskogo, Akademiya, M., 2004

[6] Baza znanii po biologii cheloveka. Fiziologiya. IMG RAN. A. A. Aleksandrov otdel bioinformatiki, http://humbio.ru/

[7] V. A. Lukshin, S. I. Mukhin, T. E. Sokolova, N. V. Sosnin, A. P. Favorskii, Matematicheskoe modelirovanie tserebralnoi gemodinamiki v kvaziperiodicheskom rezhime, Preprint, MAKS Press, M., 2003

[8] R. Shmidt, G. Tevs, Fiziologiya cheloveka, T. 2, Mir, M., 1996

[9] V. G. Lelyuk, S. E. Lelyuk, Ultrazvukovaya angiologiya, Realnoe Vremya, M., 1999

[10] Krovoobraschenie mozga i svoistva krupnykh arterii v norme i patologii, eds. A. F. Blyuger, A. D. Valtneris, Riga, 1976

[11] M. R. Sapin, G. L. Bilich, Anatomiya cheloveka, kn. 2, ONIKS: Alyans-V, M., 1999

[12] M. V. Abakumov, N. B. Esikova, S. I. Mukhin, N. V. Sosnin, V. F. Tishkin, A. P. Favorskii, Raznostnaya skhema resheniya zadach gemodinamiki na grafe, Preprint, MAKS Press, M., 1998

[13] Takayuki Sato, Toru Kawada, Masashi Inagaki, Toshiaki Shishido, Masaru Sugimachi, Kenji Sunagawa, “Dynamics of sympathetic baroreflex control of arterial pressure in rats”, Am. J. Physiol. Regul. Integr. Comp. Physiol., 285, R262–R270

[14] V. A. Lukshin, S. I. Mukhin, T. V. Sokolova, N. V. Sosnin, A. P. Favorskii, Matematicheskoe modelirovanie gemodinamiki serdechno-sosudistoi sistemy s uchetom neirogennoi regulyatsii, Preprint, MAKS Press, M., 2005

[15] N. Aljuri, R. J. Cohen, “Theoretical considerations in the dynamic closed-loop baroreflex and autoregulatory control of total peripheral resistance”, Am. J. Physiol. Heart Circ. Physiol., 287 (2004), H2252–H2273 | DOI