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Matematicheskoe modelirovanie, 2000, Volume 12, Number 2, Pages 106–117 (Mi mm846)  

This article is cited in 29 scientific papers (total in 29 papers)

Computational methods and algorithms

Strategy of mathematical cardiovascular system modeling

M. V. Abakumova, I. V. Ashmetkova, N. B. Esikova, V. B. Kosheleva, S. I. Mukhina, N. V. Sosnina, V. F. Tishkinb, A. P. Favorskia, A. B. Khrulenkob

a M. V. Lomonosov Moscow State University
b Institute for Mathematical Modelling, Russian Academy of Sciences
Received: 07.06.1999
Bibliographic databases:
Language: Russian
Citation: M. V. Abakumov, I. V. Ashmetkov, N. B. Esikova, V. B. Koshelev, S. I. Mukhin, N. V. Sosnin, V. F. Tishkin, A. P. Favorski, A. B. Khrulenko, “Strategy of mathematical cardiovascular system modeling”, Mat. Model., 12:2 (2000), 106–117
Citation in format AMSBIB
\Bibitem{AbaAshEsi00}
\by M.~V.~Abakumov, I.~V.~Ashmetkov, N.~B.~Esikova, V.~B.~Koshelev, S.~I.~Mukhin, N.~V.~Sosnin, V.~F.~Tishkin, A.~P.~Favorski, A.~B.~Khrulenko
\paper Strategy of mathematical cardiovascular system modeling
\jour Mat. Model.
\yr 2000
\vol 12
\issue 2
\pages 106--117
\mathnet{http://mi.mathnet.ru/mm846}
\zmath{https://zbmath.org/?q=an:1027.92500}
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  • https://www.mathnet.ru/eng/mm846
  • https://www.mathnet.ru/eng/mm/v12/i2/p106
  • This publication is cited in the following 29 articles:
    1. A. P. Chernyaev, “Priblizhennaya model osesimmetrichnogo techeniya neszhimaemoi zhidkosti v beskonechno dlinnom kruglom tsilindre, stenki kotorogo sostavleny iz uprugikh kolets, osnovannaya na resheniyakh uravneniya Kortevega – de Friza”, Kompyuternye issledovaniya i modelirovanie, 16:2 (2024), 375–394  mathnet  crossref
    2. 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
    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. Yu. A. Poveshchenko, S. B. Popov, E. N. Golovchenko, “Development of a method for calculating flows in a multi-circuit pipeline networks”, Math. Models Comput. Simul., 14:4 (2022), 613–624  mathnet  crossref  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. Mozokhina A.S., Mukhin S.I., Lobov G.I., “Pump Eflciency of Lymphatic Vessels: Numeric Estimation”, Russ. J. Numer. Anal. Math. Model, 34:5 (2019), 261–268  crossref  mathscinet  isi  scopus
    7. Tretyakova R., Savinkov R., Lobov G., Bocharov G., “Developing Computational Geometry and Network Graph Models of Human Lymphatic System”, Computation, 6:1 (2018), 1  crossref  isi  scopus
    8. Mozokhina A.S., Mukhin S.I., “Quasi-One-Dimensional Flow of a Fluid With Anisotropic Viscosity in a Pulsating Vessel”, Differ. Equ., 54:7 (2018), 938–944  crossref  isi  scopus
    9. V. V. Vedeneev, A. B. Poroshina, “Stability of an elastic tube conveying a non-Newtonian fluid and having a locally weakened section”, Proc. Steklov Inst. Math., 300 (2018), 34–55  mathnet  crossref  crossref  mathscinet  isi  elib
    10. S. S. Simakov, “Sovremennye metody matematicheskogo modelirovaniya krovotoka s pomoschyu osrednennykh modelei”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 581–604  mathnet  crossref
    11. M. S. Gavrilova, “Kompyuternoe imitatsionnoe modelirovanie stokhasticheskogo protsessa lekarstvennoi kompensatsii gipertonicheskoi bolezni”, Uchenye zapiski UlGU. Seriya “Matematika i informatsionnye tekhnologii”, 2017, no. 1, 16–21  mathnet  elib
    12. N. A. Kudryashov, K. E. Shilnikov, “Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery”, Math. Models Comput. Simul., 8:6 (2016), 680–688  mathnet  crossref  elib
    13. 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
    14. V. I. Bezyaev, N. Kh. Sadekov, “O nekotorykh zadachakh gemodinamiki na grafakh”, Trudy seminara po differentsialnym i funktsionalno-differentsialnym uravneniyam v RUDN pod rukovodstvom A. L. Skubachevskogo, SMFN, 62, RUDN, M., 2016, 5–18  mathnet
    15. Golovin S.V., Khe A.K., Gadylshina K.A., “Hydraulic model of cerebral arteriovenous malformations”, J. Fluid Mech., 797 (2016), 110–129  crossref  mathscinet  isi  elib  scopus
    16. Bessonov N., Sequeira A., Simakov S., Vassilevskii Yu., Volpert V., “Methods of Blood Flow Modelling”, Math. Model. Nat. Phenom., 11:1 (2016), 1–25  crossref  mathscinet  zmath  isi  elib  scopus
    17. 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
    18. Vassilevski Yu., Danilov A., Ivanov Yu., Simakov S., Gamilov T., “Personalized Anatomical Meshing of the Human Body with Applications”, Modeling the Heart and the Circulatory System, MS&A, 14, ed. Quarteroni A., Springer-Verlag Italia, 2015, 221–236  crossref  mathscinet  isi  scopus
    19. 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
    20. Gamilov T., Ivanov Yu., Kopylov P., Simakov S., Vassilevski Yu., “Patient Specific Haemodynamic Modeling After Occlusion Treatment in Leg”, Math. Model. Nat. Phenom., 9:6 (2014), 85–97  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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