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Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation

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Abstract

We propose a framework that combines variational immersed-boundary and arbitrary Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a bioprosthetic heart valve implanted in an artery that is allowed to deform in the model. We find that the variational immersed-boundary method for FSI remains robust and effective for heart valve analysis when the background fluid mesh undergoes deformations corresponding to the expansion and contraction of the elastic artery. Furthermore, the computations presented in this work show that the arterial wall deformation contributes significantly to the realism of the simulation results, leading to flow rates and valve motions that more closely resemble those observed in practice.

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Notes

  1. Windkessel translates from German to “air chamber”, and likely refers to Hales’ original analogy between arterial compliance and the air-filled cavities used to smooth hose output from eighteenth-century fire engines.

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Acknowledgments

Y. Bazilevs was supported by the NSF CAREER Award No. 1055091. T. J. R. Hughes was supported by grants from the Office of Naval Research (N00014-08-1-0992), the National Science Foundation (CMMI-01101007), and SINTEF (UTA10-000374) with the University of Texas at Austin. M. S. Sacks was supported by NIH/NHLBI grants R01 HL108330 and HL119297, and FDA contract HHSF223201111595P. D. Kamensky was partially supported by the CSEM Graduate Fellowship. We thank the Texas Advanced Computing Center (TACC) at the University of Texas at Austin for providing HPC resources that have contributed to the research results reported in this paper.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Iowa State University, 2025 Black Engineering, Ames, IA , 50011, USA

    Ming-Chen Hsu

  2. Institute for Computational Engineering and Sciences, The University of Texas at Austin, 201 East 24th St, Stop C0200, Austin, TX , 78712, USA

    David Kamensky, Michael S. Sacks & Thomas J. R. Hughes

  3. Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, Mail Code 0085, La Jolla, CA , 92093, USA

    Yuri Bazilevs

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  1. Ming-Chen Hsu
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Hsu, MC., Kamensky, D., Bazilevs, Y. et al. Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Comput Mech 54, 1055–1071 (2014). https://doi.org/10.1007/s00466-014-1059-4

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  • DOI: https://doi.org/10.1007/s00466-014-1059-4

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