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Differentsial'nye Uravneniya, 1997, Volume 33, Number 7, Pages 892–898 (Mi de9478)  

This article is cited in 12 scientific papers (total in 12 papers)

Numerical methods

A mathematical model of the hemodynamics of a cardio-vascular system

M. V. Abakumova, K. V. Gavrylyuka, N. B. Esikovaa, A. V. Lukshina, S. I. Mukhina, N. V. Sosnina, V. F. Tishkinb, A. P. Favorskib

a Lomonosov Moscow State University
b Institute for Mathematical Modelling, Russian Academy of Sciences, Moscow
Received: 10.03.1997
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. V. Abakumov, K. V. Gavrylyuk, N. B. Esikova, A. V. Lukshin, S. I. Mukhin, N. V. Sosnin, V. F. Tishkin, A. P. Favorski, “A mathematical model of the hemodynamics of a cardio-vascular system”, Differ. Uravn., 33:7 (1997), 892–898; Differ. Equ., 33:7 (1997), 895–901
Citation in format AMSBIB
\Bibitem{AbaGavEsi97}
\by M.~V.~Abakumov, K.~V.~Gavrylyuk, N.~B.~Esikova, A.~V.~Lukshin, S.~I.~Mukhin, N.~V.~Sosnin, V.~F.~Tishkin, A.~P.~Favorski
\paper A mathematical model of the hemodynamics of a cardio-vascular system
\jour Differ. Uravn.
\yr 1997
\vol 33
\issue 7
\pages 892--898
\mathnet{http://mi.mathnet.ru/de9478}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1615495}
\transl
\jour Differ. Equ.
\yr 1997
\vol 33
\issue 7
\pages 895--901
Linking options:
  • https://www.mathnet.ru/eng/de9478
  • https://www.mathnet.ru/eng/de/v33/i7/p892
  • This publication is cited in the following 12 articles:
    1. S. S. Simakov, “Analysis of the use of one-dimensional network models of blood flow to assess the hemodynamic coefficients in stenosis coronary arteries”, J. Appl. Mech. Tech. Phys., 65:3 (2024), 563–572  mathnet  crossref  crossref  elib
    2. A. E. Medvedev, A. D. Erokhin, Yu. M. Prikhodko, M. O. Zhulkov, “Modelirovanie dinamiki krovoobrascheniya avtonomnogo serdechno-legochnogo kompleksa”, Matem. biologiya i bioinform., 19:2 (2024), 354–368  mathnet  crossref  elib
    3. 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  mathnet  crossref  crossref
    4. O. V. Ilin, “Granichnye usloviya dlya reshetochnykh uravnenii Boltsmana v prilozheniyakh k zadacham gemodinamiki”, Kompyuternye issledovaniya i modelirovanie, 12:4 (2020), 865–882  mathnet  crossref
    5. A. S. Mozokhina, S. I. Mukhin, “Some exact solutions of the problem of liquid flow in the contracting or expanding vessel”, Math. Models Comput. Simul., 11:6 (2019), 894–904  mathnet  crossref  crossref  elib
    6. O. V. Ilin, “Modelirovanie odnomernykh nelineinykh pulsovykh voln v elastichnykh sosudakh na osnove reshetochnykh uravnenii Boltsmana”, Kompyuternye issledovaniya i modelirovanie, 11:4 (2019), 707–722  mathnet  crossref
    7. S. S. Simakov, “Sovremennye metody matematicheskogo modelirovaniya krovotoka s pomoschyu osrednennykh modelei”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 581–604  mathnet  crossref
    8. E. S. Styukhina, Yu. N. Avtomonov, D. E. Postnov, “Matematicheskaya model avtoregulyatsii sosudistogo tonusa”, Izv. Sarat. un-ta. Nov. cer. Ser. Fizika, 18:3 (2018), 202–214  mathnet  crossref
    9. Yu. V. Vassilevski, V. U. Salamatova, S. S. Simakov, “On the elasticity of blood vessels in one-dimensional problems of hemodynamics”, Comput. Math. Math. Phys., 55:9 (2015), 1567–1578  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    10. S. S. Simakov, A. S. Kholodov, “Computational study of oxygen concentration in human blood under the low-frequency disturbances”, Math. Models Comput. Simul., 1:2 (2009), 283–295  mathnet  crossref  mathscinet  zmath
    11. V. B. Koshelev, S. I. Mukhin, T. V. Sokolova, N. V. Sosnin, A. P. Favorskii, “Matematicheskoe modelirovanie gemodinamiki serdechno-sosudistoi sistemy s uchetom vliyaniya neiroregulyatsii”, Matem. modelirovanie, 19:3 (2007), 15–28  mathnet  zmath
    12. E. V. Astrakhantseva, V. Yu. Gidaspov, D. L. Reviznikov, “Matematicheskoe modelirovanie gemodinamiki krupnykh krovenosnykh sosudov”, Matem. modelirovanie, 17:8 (2005), 61–80  mathnet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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