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An Experimentally Derived Stress Resultant Shell Model for Heart Valve Dynamic Simulations

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Abstract

In order to achieve a more realistic and accurate computational simulation of native and bioprosthetic heart valve dynamics, a finite shell element model was developed. Experimentally derived and uncoupled in-plane and bending behaviors were implemented into a fully nonlinear stress resultant shell element. Validation studies compared the planar biaxial extension and three-point bending simulations to the experimental data and demonstrated excellent fidelity. Dynamic simulations of a pericardial bioprosthetic heart valve with the developed shell element model showed significant differences in the deformation characteristics compared to the simulation with an assumed isotropic bending model. The new finite shell element model developed in the present study can also incorporate various types of constitutive models and is expected to help us to understand the complex dynamics of native and bioprosthetic heart valve function in physiological and pathological conditions.

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Acknowledgments

This work was funded by an USPHS grant from the National Heart, Lung, and Blood Institute (NIH: HL-071814) and the Iowa Department of Economic Development.

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Author notes

  1. Hyunggun Kim

    Present address: Division of Cardiology, Department of Internal Medicine, University of Texas Health Science Center at Houston, Houston, TX, USA

Authors and Affiliations

  1. Department of Biomedical Engineering, University of Iowa, Iowa City, IA, USA

    Hyunggun Kim & Krishnan B. Chandran

  2. Department of Mechanical and Industrial Engineering, College of Engineering, University of Iowa, 2137 SC, Iowa City, IA, 52242, USA

    Krishnan B. Chandran & Jia Lu

  3. IIHR-Hydroscience and Engineering, Iowa City, IA, USA

    Krishnan B. Chandran

  4. Center for Computer-Aided Design, University of Iowa, Iowa City, IA, USA

    Jia Lu

  5. Engineered Tissue Mechanics Laboratory, Department of Bioengineering, University of Pittsburgh, Pittsburgh, PA, USA

    Michael S. Sacks

Authors
  1. Hyunggun Kim
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  2. Krishnan B. Chandran
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  4. Jia Lu
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Correspondence to Jia Lu.

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Kim, H., Chandran, K.B., Sacks, M.S. et al. An Experimentally Derived Stress Resultant Shell Model for Heart Valve Dynamic Simulations. Ann Biomed Eng 35, 30–44 (2007). https://doi.org/10.1007/s10439-006-9203-8

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  • DOI: https://doi.org/10.1007/s10439-006-9203-8

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