{"title":"Warning about the Risk of Blood Flow Stagnation after Transcatheter Aortic Valve Implantation","authors":"Aymen Laadhari, G\u00e1bor Sz\u00e9kely","volume":121,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":33,"pagesEnd":38,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10006367","abstract":"
In this work, the hemodynamics in the sinuses of
\r\nValsalva after Transcatheter Aortic Valve Implantation is numerically
\r\nexamined. We focus on the physical results in the two-dimensional
\r\ncase. We use a finite element methodology based on a Lagrange
\r\nmultiplier technique that enables to couple the dynamics of blood
\r\nflow and the leaflets’ movement. A massively parallel implementation
\r\nof a monolithic and fully implicit solver allows more accuracy and
\r\nsignificant computational savings. The elastic properties of the aortic
\r\nvalve are disregarded, and the numerical computations are performed
\r\nunder physiologically correct pressure loads. Computational results
\r\ndepict that blood flow may be subject to stagnation in the lower
\r\ndomain of the sinuses of Valsalva after Transcatheter Aortic Valve
\r\nImplantation.<\/p>\r\n","references":"[1] P. R. Amestoy and I. S. Duff and J. Koster and J.-Y. L\u2019Excellent,\r\nA Fully Asynchronous Multifrontal Solver Using Distributed Dynamic\r\nScheduling, SIAM J. Matrix Anal. Appl., 2001, 23(1):15-41.\r\n[2] M. Astorino, J. Hamers, S. C. Shadden and J.-F. Gerbeau, A robust\r\nand efficient valve model based on resistive immersed surfaces, Int. J.\r\nNumer. Methods Biomed. Engrg. 28(9):937\u2013959 (2012).\r\n[3] D. S. Bach, Prevalence and Characteristics of Unoperated Patients with\r\nSevere Aortic Stenosis, J. Heart Valve Dis. 2011;20:284-291.\r\n[4] S. Chandra, N. M. Rajamannan and P. Sucosky, Computational\r\nassessment of bicuspid aortic valve wall-shear stress: implications\r\nfor calcific aortic valve disease, J. Biomechanics and Modeling in\r\nMechanobiology 2012, 11(7):1085-1096.\r\n[5] E. De Marchena, J. Mesa, S. Pomenti, C. M. Kall, X. Marincic, K.\r\nYahagi, E. Ladich, R. Kutys, Y. Aga, M. Ragosta, A. Chawla, M. 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