Abstract
The present paper is focused on the mathematical model describing the dynamics of an artificial heart valve and the method of its numerical solution. The results of performance simulation are presented for the tricuspid valve of perfect form and the biological prosthesis ‘Uniline’.
Funding
The work was performed within the framework of the project part of the state assignment 1.630.1.2014/K.
References
[1] A. H. Association, Heart Disease and Stroke Statistics. URL: https://www.heart.org/idc/groups/ahamah-public/@wcm/@sop/@smd/documents/downloadable/ucm_470704.pdf (2015).Suche in Google Scholar
[2] O. M. Belotserkovskii, Numerical Modelling in Solid Mechanics. Nauka, Moscow, 1984 (in Russian).Suche in Google Scholar
[3] M. Black et al. A three-dimensional analysis of a bioprosthetic heart valve. J. Biomech. 24 (1991), 793–801.10.1016/0021-9290(91)90304-6Suche in Google Scholar
[4] L. A. Bokeriya, I.I. Skopin, M. A. Sazonov, and E. N. Tumaev, Mechanical stress in leaflets of a mitral valve and bioprosthesis in mitral position. Influence of geometry of fibrous ring on the stress value at leaflets. Clinical Physiology of Circulation. A. N. Bakoulev Scientific Center for Cardiovascular Surgery of the RAMS 2 (2008), 73–80.Suche in Google Scholar
[5] D. A. Dolgov and Yu. N. Zakharov, Simulation of motion of a viscous heterogeneous fluid in large blood vessels. Vestnik KemGU62 (2015), 30–34 (in Russian).Suche in Google Scholar
[6] D. Dolgov and Y. Zakharov, Mathematical modelling of artificial heart valve performance. Stability and Control Processes. In memory of V. I. Zubov (SCP) (2015), 518–521.10.1109/SCP.2015.7342202Suche in Google Scholar
[7] D. C. R. Institute, Adult Cardiac Surgery Database, Executive Summary. URL: http://www.sts.org/sites/default/files/documents/2015Harvest2_ExecutiveSummary.pdf (2015).Suche in Google Scholar
[8] B. E. Griffith, Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. Int. J. Numer. Methods Biomed. Engrg. 28 (2012), 317–345.10.1002/cnm.1445Suche in Google Scholar
[9] E. E. Gummel, H. Milosevic, V. V. Raguling, Yu. N. Zakharov, and A. I. Zimin, Motion of viscous inhomogeneous incompressible fluid of variable viscosity. Zbornik radova konferencije MIT (2013), 2013–2014.Suche in Google Scholar
[10] C. G. Caro, T. J. Pedley, R. C. Schroter, and W. A. Seed, The Mechanics of the Circulation. Oxford Univ. Press, New York–Toronto, 1978.Suche in Google Scholar
[11] H. S. Kim, Nonlinear multi-scale anisotropic material and structural models for prosthetic and native aortic heart valves. Georgia Inst. Technol. 2009.Suche in Google Scholar
[12] K. Yu. Klyshnikov, E. A. Ovcharenko, D. A. Maltsev, and I. Yu. Zhuravleva, Comparative characteristics of hydrodynamic indicators of Uniline and Pericor heart valve bioprostheses. Clinical Physiol. Circul. (2013), 45–51.Suche in Google Scholar
[13] X. Ma, H. Gao, B. B. Griffith, C. Berry, and X. Luo, Image-based fluid–structure interaction model of the human mitral valve. Computers & Fluids71 (2013), 417–425.10.1016/j.compfluid.2012.10.025Suche in Google Scholar
[14] C. S. Peskin, The immersed boundary method. Acta Numerica11 (2002), 479–517.10.1017/CBO9780511550140.007Suche in Google Scholar
[15] C. A. Taylor, T. J. Hughes, and C. K. Zarins, Finite element modelling of blood flow in arteries. Comp. Methods Appl. Mech. Engrg. 158 (1998), 155–196.10.1016/S0045-7825(98)80008-XSuche in Google Scholar
[16] R. L. Whitmore, Rheology of the Circulation. Pergamon, 1968.Suche in Google Scholar
[17] N. N. Yanenko, The Method of Fractional Steps: The Solution of Problems of Mathematical Physics in Several Variables. Springer–Verlag, Berlin, 1971.10.1007/978-3-642-65108-3Suche in Google Scholar
[18] Y. Zhang and C. Bajaj, Finite Element Meshing for Cardiac Analysis. Univ. of Texas at Austin, ICES Technical Report, 2004.Suche in Google Scholar
© 2016 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Research Article
- Application of kinetic approach to porous medium flow simulation in environmental hydrology problems on high-performance computing systems
- Research Article
- Weighted Monte Carlo estimators for angular distributions of the solar radiation reflected from a cloud layer
- Research Article
- Weighted statistical modelling algorithms with branching and extension of a model ensemble of interacting particles
- Research Article
- A combined computational algorithm for solving the problem of long surface waves runup on the shore
- Research Article
- Numerical simulation of the performance of an artificial heart valve
Artikel in diesem Heft
- Frontmatter
- Research Article
- Application of kinetic approach to porous medium flow simulation in environmental hydrology problems on high-performance computing systems
- Research Article
- Weighted Monte Carlo estimators for angular distributions of the solar radiation reflected from a cloud layer
- Research Article
- Weighted statistical modelling algorithms with branching and extension of a model ensemble of interacting particles
- Research Article
- A combined computational algorithm for solving the problem of long surface waves runup on the shore
- Research Article
- Numerical simulation of the performance of an artificial heart valve