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Matem. Mod., 2007, Volume 19, Number 3, Pages 15–28 (Mi mm933)  

This article is cited in 7 scientific papers (total in 7 papers)

Mathematical modeling of cardio-vascular hemodynamics with account of neuroregulation

V. B. Kosheleva, S. I. Mukhinb, T. V. Sokolovab, N. V. Sosninb, A. P. Favorskib

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

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.

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Received: 27.02.2006

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”, Matem. Mod., 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 Matem. Mod.
\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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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  crossref  mathscinet  isi  elib  scopus
    2. 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  crossref  mathscinet  zmath  isi  elib  scopus
    3. 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  mathnet
    4. 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  mathnet
    5. 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  mathnet  crossref
    6. S. V. Sindeev, S. V. Frolov, “Modeling of cardiovascular system hemodynamics with cerebral aneurysm”, Math. Models Comput. Simul., 9:1 (2017), 108–119  mathnet  crossref  elib
    7. S. S. Simakov, “Sovremennye metody matematicheskogo modelirovaniya krovotoka s pomoschyu osrednennykh modelei”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 581–604  mathnet  crossref
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