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Non-linear rotation-free shell finite-element models for aortic heart valves.

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This study compares hyperelastic material models for aortic heart valve simulations. Non-linear anisotropic models are crucial for accurately simulating heart valve dynamics, especially during closing.

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Area of Science:

  • Computational mechanics
  • Biomedical engineering
  • Materials science

Background:

  • Aortic heart valve function is critical for cardiovascular health.
  • Accurate simulation of heart valve dynamics requires sophisticated material models.
  • Previous studies have utilized various hyperelastic models with limitations.

Purpose of the Study:

  • To compare the performance of Saint-Venant and May-Newmann-Yin (MNY) hyperelastic material models in dynamic aortic heart valve simulations.
  • To investigate the impact of non-linear anisotropic material behavior on heart valve dynamics, particularly during leaflet interaction and valve closure.
  • To establish an efficient finite element (FE) framework for simulating biological tissues in cardiovascular applications.

Main Methods:

  • Incorporation of hyperelastic material models into a rotation-free, large deformation, shell finite element (FE) formulation.
  • Dynamic simulations of aortic heart valve using Saint-Venant and MNY material models.
  • Verification of model formulation and implementation through uniaxial tests.
  • Analysis of leaflet interactions during the closing phase of the heart valve at the end of systole.

Main Results:

  • The study quantitatively demonstrates the critical role of non-linear anisotropic models in achieving a proper dynamic response of the heart valve.
  • Comparison revealed significant differences in simulation outcomes between the Saint-Venant and MNY models, particularly concerning leaflet interactions.
  • The developed FE framework proved efficient for simulating biological tissues.

Conclusions:

  • Non-linear anisotropic hyperelastic models are essential for accurate dynamic simulations of aortic heart valves, especially during the closing phase.
  • The developed finite element framework provides an efficient tool for simulating biological tissues.
  • This work advances the potential for high-fidelity flow-structure interaction simulations of native and bioprosthetic aortic heart valves.