Abstract:
The paper is devoted to the numerical simulation of blood motion in man's systemic circuit under gravitational influences. The heart model and the equation of state are proposed and investigated. Modifications of the systemic circuit graph are considered for simulation of possible positions of the object under gravitational overloads.
Citation:
A. Ya. Bunicheva, M. A. Menyailova, S. I. Mukhin, N. V. Sosnin, A. P. Favorskii, “Investigation of influence of gravitational overloads on parameters of blood flow in the systemic circulation”, Mat. Model., 24:7 (2012), 67–82; Math. Models Comput. Simul., 5:1 (2013), 81–91
\Bibitem{BunMenMuk12}
\by A.~Ya.~Bunicheva, M.~A.~Menyailova, S.~I.~Mukhin, N.~V.~Sosnin, A.~P.~Favorskii
\paper Investigation of influence of gravitational overloads on parameters of blood flow in the systemic circulation
\jour Mat. Model.
\yr 2012
\vol 24
\issue 7
\pages 67--82
\mathnet{http://mi.mathnet.ru/mm3295}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3051810}
\elib{https://elibrary.ru/item.asp?id=21276777}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 1
\pages 81--91
\crossref{https://doi.org/10.1134/S207004821301002X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928980915}
Linking options:
https://www.mathnet.ru/eng/mm3295
https://www.mathnet.ru/eng/mm/v24/i7/p67
This publication is cited in the following 9 articles:
A. Ya. Bunicheva, E. V. Kochetov, S. I. Mukhin, “Mathematical Model of Building a Neural Network for Diagnosing Circulatory Disorders”, MoscowUniv.Comput.Math.Cybern., 46:3 (2022), 125
Mozokhina A., Lobov G., International Conference Mathematical Modelling in Biomedicine 2019, Itm Web of Conferences, 31, eds. Volpert V., Syomin F., E D P Sciences, 2020
T. Gamilov, S. Simakov, P. Kopylov, Trends in Biomathematics: Modeling, Optimization and Computational Problems, 2018, 301
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
S. V. Sindeev, S. V. Frolov, “Modeling of cardiovascular system hemodynamics with cerebral aneurysm”, Math. Models Comput. Simul., 9:1 (2017), 108–119
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
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