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Modeling the mechanics of tissue engineering heart valves

Modeling the mechanics of tissue engineering heart valves. Niels Driessen 1 , Anita Mol 1,2 , Carlijn Bouten 1 , Simon Hoerstrup 1,2 and Frank Baaijens 1 1 Laboratory for Tissue Biomechanics and Tissue Engineering, Department of Biomedical Engineering, Eindhoven University of Technology

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Modeling the mechanics of tissue engineering heart valves

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  1. Modeling the mechanics of tissue engineering heart valves Niels Driessen1, Anita Mol1,2, Carlijn Bouten1, Simon Hoerstrup1,2 and Frank Baaijens1 1 Laboratory for Tissue Biomechanics and Tissue Engineering, Department of Biomedical Engineering, Eindhoven University of Technology 2Laboratory for Tissue Engineering and Cell Transplantation, Clinic for Cardiovascular Surgery,University HospitalZurich

  2. Objectives • Develop accurate computational model of the mechanical behaviour of native and tissue engineering heart valve (TEHV) • Predict in-vivo response of TEHV

  3. Modeling the mechanics of a valve Equilibrium & incompressibility Constitutive model

  4. Fiber modeling Affine deformation of fibers Fiber direction in reference configuration Fiber stretch

  5. Reduced properties in normal direction Stress tensor Fiber stress Stress tensor of composite (rules of mixtures) fiber volume fraction In fiber direction: Perpendicular to fiber direction:

  6. In fiber direction (rules of mixtures) Perpendicular to fiber direction: Multiple fibers: Stress tensor New model

  7. Fiber distribution function

  8. Heart valve 1st principal strain direction of loaded isotropic configuration

  9. Discrete vs continuous fiber model Data: Fresh porcine valve, Billiard and Sacks (1997, 2000)

  10. Finite element mesh

  11. Result circumferential radial • Large strains: • 25 % in circumferential direction • 60 % in radial direction: fibre re-orientation and unfolding of corrugations • Stresses of order 0.5 MPa Driessen et al (2004)

  12. Application to TEHV 2.5 kPa (Bioreactor) 5 kPa (Neonatal) Porcine TEHV

  13. Comparison of TEHV and Porcine valve Porcine (12 kPa) TEHV (5 kPa) Porcine (5 kPa)

  14. Conclusions • New constitutive model capable of accurately predicting the mechanical behaviour of native and TE heart valves • The use of fiber distribution function mandatory for accurate results • Computational results indicate that TEHV may be able to sustain neonatal pressures

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