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Matem. Mod., 2000, Volume 12, Number 2, Pages 106–117 (Mi mm846)  

This article is cited in 23 scientific papers (total in 23 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

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Received: 07.06.1999

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”, Matem. Mod., 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 Matem. Mod.
\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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    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. Bunicheva A.Y., Mukhin S.I., Sosnin N.V., Favorskii A.P., “An averaged nonlinear model of hemodynamics on the vessel graph”, Differential Equations, 37:7 (2001), 949–956  mathnet  crossref  mathscinet  zmath  isi  scopus
    2. Bunicheva A.Y., Mukhin S.I., Sosnin N.V., Favorskii A.P., “Numerical experiment in hemodynamics”, Differential Equations, 40:7 (2004), 984–999  mathnet  crossref  mathscinet  zmath  isi  scopus
    3. Ashmetkov I.V., Mukhin S.I., Sosnin N.V., Favorskii A.P., “A boundary value problem for the linearized haemodynamic equations on a graph”, Differential Equations, 40:1 (2004), 94–104  mathnet  crossref  mathscinet  zmath  isi  scopus
    4. 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
    5. Gavrilova M.S., Butov A.A., Ruzov V.I., Razin V.A., “Stokhasticheskaya model sistemy stabilizatsii sistolicheskogo arterialnogo davleniya v momenty stressovykh situatsii”, Vestnik Saratovskogo gosudarstvennogo tekhnicheskogo universiteta, 3:1 (2011), 150–159  mathscinet  elib
    6. Popov V.M., Babenko V.A., “Primenenie metoda progonki pri reshenii odnomernykh uravnenii dvizheniya krovi i rasprostraneniya pulsovoi volny po arterialnoi sisteme sosudov”, Inzhenerno-fizicheskii zhurnal, 84:6 (2011), 1229–1238  elib
    7. Borzov A.G., Mukhin S.I., Sosnin N.V., “Conservative Algorithm of Substance Transport Over a Closed Graph of Cardiovascular System”, Russ. J. Numer. Anal. Math. Model, 27:5 (2012), 413–429  crossref  mathscinet  isi  elib  scopus
    8. Voropaeva O.F., Shokin Yu.I., “Chislennoe modelirovanie v meditsine: nekotorye postanovki zadach i rezultaty raschëtov”, Vychislitelnye tekhnologii, 17:4 (2012), 29–55  elib
    9. Borzov A.G., Mukhin S.I., Sosnin N.V., “Conservative Schemes of Matter Transport in a System of Vessels Closed by the Heart”, Differ. Equ., 48:7 (2012), 919–928  crossref  mathscinet  zmath  isi  elib  elib  scopus
    10. 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
    11. 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
    12. 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
    13. 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
    14. 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
    15. 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
    16. 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
    17. 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
    18. 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
    19. 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
    20. 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
    21. 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  isi  elib
    22. S. S. Simakov, “Sovremennye metody matematicheskogo modelirovaniya krovotoka s pomoschyu osrednennykh modelei”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 581–604  mathnet  crossref
    23. A. S. Mozokhina, S. I. Mukhin, “Nekotorye tochnye resheniya zadachi o techenii zhidkosti v sokraschayuschemsya elastichnom sosude”, Matem. modelirovanie, 31:3 (2019), 124–140  mathnet  crossref  elib
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