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SOLUTION OF FLUID FLOW THROUGH THE LEFT HEART VENTRICLE
Authors:
Miloš Anić1,3
, Slobodan Savić1, Aleksandar Milovanović2, Miljan Milošević2,3,4,
Bogdan Milićević1,3, Vladimir Simić1,3, Nenad Filipović1,3
1Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, 34000 Kragujevac, Serbia
2Institute for Information Technologies, University of Kragujevac, Jovana Cvijica bb, 34000 Kragujevac, Serbia
3Bioengineering Research and Development Center, BioIRC, Prvoslava Stojanovic 6, 334000 Kragujevac, Serbia
4Belgrade Metropolitan University, Tadeuša Košćuška 63, 11000 Belgrade, Serbia
Received: 15.11.2020.
Accepted: 09.12.2020.
Available: 31.12.2020.
Abstract:
Finite element method (FEM) has proved to be very successful in solving complex problems in engineering. In medicine, FEM found a special application in simulation of real problems and their solution while eliminating the need of learning from examples. In this paper, FEM was used with viscous fluid dynamics to simulate the function of left heart ventricle. Theoretical fundamentals of FEM and heart function were given. The paper represents illustrative example for educational purposes.
Keywords:
Finite element method, FEM, viscous fluid dynamics, cardiovascular system, PAK
References:
[1] Hrennikoff, Solution of problems of elasticity by the framework method. Journal of Applied Mechanics, 8(4): 169-175, 1941.
[2] R. Courant, Variational methods for the solution of problems of equilibrium and vibrations. Bulletin of the American Mathematical Society, 49: 1-23, 1943.
[3] E. Hinton, B. Irons, Least squares smoothing of experimental data using finite elements. Strain, 4 (3): 24-27, 1968.
[4] M. Kojic, et al. PAK-FE program for structural analysis, fluid mechanics, coupled problems and biomechanics. Bioengineering R&D Center for Bioengineering. Faculty of Engineering, Kragujevac, Serbia c.rs/index.php/software/5-pak (Accessed 20.09.2020)
[5] Schiavone, L.G. Yhao, A.A. Abdel-Wahab, Effects of material, coating, design and plaque composition on stent deployment inside a stenotic artery – Finite element simulation. Materials Science and Engineering: C, 42: 478-488, 2014. https://doi.org/10.1016/j.msec.2014.05.057
[6] G. Biglino, C. Capelli, J. Bruse, G.M. Bosi, A.M. Taylor, S. Schievano, Computational modeling for congenital heart disease: how far are we from clinical translation?. Heart, 103: 98-103,2017 https://doi.org/10.1136/heartjnl-2016-310423
[7] The Function of the Heart Ventricles, https://www.thoughtco.com/ventricles-ofthe-heart-373254 (Accessed 20.09.2020)
[8] N. Filipovic, Numerical Analysis of Coupled Problems: Deformable Body and Fluid Flow. Ph.D. Thesis. Faculty of Mech. Engrg., University of Kragujevac, Serbia, 1999.
[9] I. Saveljic, Numeričko rešavanje odnosa pravog i lažnog lumena akutne aortne disekcije. Ph.D. Thesis. Faculty of Mech. Engrg., University of Kragujevac, Serbia, 2016.
[10] М. Kojić, R. Slavković, M. Živković, N. Grujović, Metod Konačnih Elemenata I. Mašinski fakultet u Kragujevcu, 1998.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 9
Number 4
December 2024
Last Edition
Volume 9
Number 4
December 2024
How to Cite
M. Anić, S. Savić, A. Milovanović, M.Milošević, B. Milićević, V. Simić, N. Filipović, Solution of Fluid Flow Through the Left Heart Ventricle. Applied Engineering Letters, 5(4), 2020: 120-125.
https://doi.org/10.18485/aeletters.2020.5.4.2
More Citation Formats
Anić, M., Savić, S., Milovanović, A., Milošević, M., Milićević, B., Simić, V., & Filipović, N. (2020). Solution of Fluid Flow Through the Left Heart Ventricle. Applied Engineering Letters, 5(4), 120–125. https://doi.org/10.18485/aeletters.2020.5.4.2
Anić, Miloš, et al. “Solution of Fluid Flow through the Left Heart Ventricle.” Applied Engineering Letters, vol. 5, no. 4, 2020, pp. 120–25, https://doi.org/10.18485/aeletters.2020.5.4.2.
Anić, Miloš, Slobodan Savić, Aleksandar Milovanović, Miljan Milošević, Bogdan Milićević, Vladimir Simić, and Nenad Filipović. 2020. “Solution of Fluid Flow through the Left Heart Ventricle.” Applied Engineering Letters 5 (4): 120–25. https://doi.org/10.18485/aeletters.2020.5.4.2.
Anić, M., Savić, S., Milovanović, A., Milošević, M., Milićević, B., Simić, V. and Filipović, N. (2020). Solution of Fluid Flow Through the Left Heart Ventricle. Applied Engineering Letters, 5(4), pp.120–125. doi:10.18485/aeletters.2020.5.4.2.
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SOLUTION OF FLUID FLOW THROUGH THE LEFT HEART VENTRICLE
Authors:
Miloš Anić1,3
, Slobodan Savić1, Aleksandar Milovanović2, Miljan Milošević2,3,4,
Bogdan Milićević1,3, Vladimir Simić1,3, Nenad Filipović1,3
1Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, 34000 Kragujevac, Serbia
2Institute for Information Technologies, University of Kragujevac, Jovana Cvijica bb, 34000 Kragujevac, Serbia
3Bioengineering Research and Development Center, BioIRC, Prvoslava Stojanovic 6, 334000 Kragujevac, Serbia
4Belgrade Metropolitan University, Tadeuša Košćuška 63, 11000 Belgrade, Serbia
Received: 15.11.2020.
Accepted: 09.12.2020.
Available: 31.12.2020.
Abstract:
Finite element method (FEM) has proved to be very successful in solving complex problems in engineering. In medicine, FEM found a special application in simulation of real problems and their solution while eliminating the need of learning from examples. In this paper, FEM was used with viscous fluid dynamics to simulate the function of left heart ventricle. Theoretical fundamentals of FEM and heart function were given. The paper represents illustrative example for educational purposes.
Keywords:
Finite element method, FEM, viscous fluid dynamics, cardiovascular system, PAK
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 9
Number 4
December 2024
Last Edition
Volume 9
Number 4
December 2024