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Fluid–Structure Interaction Analysis of Bioprosthetic Heart Valves: the Application of a Computationally-Efficient Tissue Constitutive Model

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Advances in Heart Valve Biomechanics

Abstract

This paper builds on a recently developed computationally tractable material model merged with an immersogeometric fluid–structure interaction methodology for bioprosthetic heart valve modeling and simulation. Our main objective is to enable improved application of the use of exogenous crosslinked tissues in prosthesis design through computational methods by utilizing physically realistic constitutive models. To enhance constitutive modeling, valve leaflets are modeled with a computationally efficient phenomenological constitutive relation stemmed from a full structural model to explore the influence of incorporating a high-fidelity material model for the leaflets. We call this phenomenological version as the effective model. This effective model constitutive form is incorporated in the context of the isogeometric analysis to develop an efficient fluid–structure interaction method for thin shell structure of the leaflet tissues. The implementation is supported by representative simulations showing the applicability and usefulness of our effective material model in heart valve simulation framework.

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Acknowledgements

This work was supported by the National Heart, Lung, and Blood Institute of the National Institutes of Health under award number R01HL129077. The author Rana Zakerzadeh is partially supported by ICES Postdoctoral 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. James T. Willerson Center for Cardiovascular Modeling and Simulation, The Oden Institute and the Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX, USA

    Rana Zakerzadeh & Will Zhang

  2. Department of Mechanical Engineering, Iowa State University, Ames, IA, USA

    Michael C. H. Wu & Ming-Chen Hsu

  3. The Oden Institute and the Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX, USA

    Michael S. Sacks

Authors
  1. Rana Zakerzadeh
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  2. Michael C. H. Wu
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  3. Will Zhang
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  4. Ming-Chen Hsu
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  5. Michael S. Sacks
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Corresponding author

Correspondence to Michael S. Sacks .

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Editors and Affiliations

  1. The Oden Institute and the Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX, USA

    Michael S. Sacks

  2. The Department of Bioengineering, The University of Texas at Arlington, Arlington, TX, USA

    Jun Liao

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Zakerzadeh, R., Wu, M.C.H., Zhang, W., Hsu, MC., Sacks, M.S. (2018). Fluid–Structure Interaction Analysis of Bioprosthetic Heart Valves: the Application of a Computationally-Efficient Tissue Constitutive Model. In: Sacks, M., Liao, J. (eds) Advances in Heart Valve Biomechanics. Springer, Cham. https://doi.org/10.1007/978-3-030-01993-8_17

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