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”, Mat. Model., 19:3 (2007), 15

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Matematicheskoe modelirovanie, 2007, Volume 19, Number 3, Pages 15–28 (Mi mm933)

This article is cited in 9 scientific papers (total in 9 papers)

Mathematical modeling of cardio-vascular hemodynamics with account of neuroregulation

V. B. Koshelev^a, S. I. Mukhin^b, T. V. Sokolova^b, N. V. Sosnin^b, A. P. Favorski^b

^a M. V. Lomonosov Moscow State University
^b M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Full-text PDF (282 kB) Citations (9)

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Abstract: 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.

Received: 27.02.2006

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Language: Russian

Citation: 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”, Mat. Model., 19:3 (2007), 15–28

Citation in format AMSBIB

\Bibitem{KosMukSok07}

\by V.~B.~Koshelev, S.~I.~Mukhin, T.~V.~Sokolova, N.~V.~Sosnin, A.~P.~Favorski

\paper Mathematical modeling of cardio-vascular hemodynamics with account of neuroregulation

\jour Mat. Model.

\yr 2007

\vol 19

\issue 3

\pages 15--28

\mathnet{http://mi.mathnet.ru/mm933}

\zmath{https://zbmath.org/?q=an:1119.76403}

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https://www.mathnet.ru/eng/mm/v19/i3/p15

This publication is cited in the following 9 articles:

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”, Math. Models Comput. Simul., 16:2 (2024), 157–168
S. S. Simakov, “Sovremennye metody matematicheskogo modelirovaniya krovotoka s pomoschyu osrednennykh modelei”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 581–604
S. V. Sindeev, S. V. Frolov, “Modeling of cardiovascular system hemodynamics with cerebral aneurysm”, Math. Models Comput. Simul., 9:1 (2017), 108–119
Bessonov N. Sequeira A. Simakov S. Vassilevskii Yu. Volpert V., “Methods of Blood Flow Modelling”, Math. Model. Nat. Phenom., 11:1 (2016), 1–25
A. G. Losev, A. V. Khoperskov, A. S. Astakhov, Kh. M. Suleimanova, “Problemy izmereniya i modelirovaniya teplovykh i radiatsionnykh polei v biotkanyakh: analiz dannykh mikrovolnovoi termometrii”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2015, no. 6(31), 31–71
N. V. Sviridova, V. D. Vlasenko, “Modelirovanie gemodinamicheskikh protsessov serdechno-sosudistoi sistemy na osnove dannykh perifericheskoi arterialnoi pulsatsii”, Matem. biologiya i bioinform., 9:1 (2014), 195–205
Vassilevski Yu., Simakov S., Salamatova V., Ivanov Yu., Dobroserdova T., “Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks”, Math. Model. Nat. Phenom., 6:7 (2011), 82–99
Vassilevski Yu., Simakov S., Salamatova V., Ivanov Yu., Dobroserdova T., “Numerical Issues of Modelling Blood Flow in Networks of Vessels with Pathologies”, Russ. J. Numer. Anal. Math. Model, 26:6 (2011), 605–622
S. V. Shilko, Yu. G. Kuzminskii, M. V. Borisenko, “Matematicheskaya model i programmnaya realizatsiya monitoringa serdechno-sosudistoi sistemy”, PFMT, 2011, no. 3(8), 104–112

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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