Structural simulations of prosthetic tri-leaflet aortic heart valves.

This study presents a combined computational and experimental approach for the nonlinear structural simulations of polymeric tri-leaflet aortic valves (PAVs). Nonlinear shell-based and quasi-static finite-element (FE) structural models are generated for a prosthetic valve geometry that includes the leaflets, stents and root materials, such as the bottom base and outside walls. The PAV structural model is subject to an ensemble averaged transvalvular pressure waveform measured from repeated in vitro tests conducted with a left heart simulator. High-resolution optical measurements are used to measure the in vitro kinematics of the leaflets and the stents. Qualitative and quantitative deformation measures are defined in order to compare the predicted kinematics from the PAV models with the in vitro measurements. Six new quantitative deformation metrics are introduced. They include three distances measuring the current PAV geometric center to the leaflet edges while additional three distances define the stent post-to-stent post (SPTSP) distances. The structural model is able to predict the kinematic deformation metrics with maximum errors around 10% especially in systole where the displacements are larger in magnitude. The combined structural modeling with experimental simulations along with the new proposed deformation metrics provide an effective way to study the PAV structural behavior and a path for improving the structural design of prosthetic valves.

[1]  R. E. Jones,et al.  Nonlinear finite elements , 1978 .

[2]  M. Crisfield Non-Linear Finite Element Analysis of Solids and Structures, Essentials , 1997 .

[3]  M. Sacks,et al.  A method for planar biaxial mechanical testing that includes in-plane shear. , 1999, Journal of biomechanical engineering.

[4]  B H Smaill,et al.  An assessment of the mechanical properties of leaflets from four second-generation porcine bioprostheses with biaxial testing techniques. , 1989, The Journal of thoracic and cardiovascular surgery.

[5]  Y. Lanir Constitutive equations for fibrous connective tissues. , 1983, Journal of biomechanics.

[6]  P. Schreurs,et al.  A three-dimensional mechanical analysis of a stentless fibre-reinforced aortic valve prosthesis. , 2000, Journal of biomechanics.

[7]  J De Hart,et al.  A three-dimensional analysis of a fibre-reinforced aortic valve prosthesis. , 1998, Journal of biomechanics.

[8]  Vladimir Kasyanov,et al.  Effect of fiber orientation on the stress distribution within a leaflet of a polymer composite heart valve in the closed position. , 2007, Journal of biomechanics.

[9]  M. Sacks,et al.  Simulated bioprosthetic heart valve deformation under quasi-static loading. , 2005, Journal of biomechanical engineering.

[10]  M. Sacks Biaxial Mechanical Evaluation of Planar Biological Materials , 2000 .

[11]  I. Alferiev,et al.  Prevention of polyurethane valve cusp calcification with covalently attached bisphosphonate diethylamino moieties. , 2003, Journal of biomedical materials research. Part A.

[12]  Hwa Liang Leo,et al.  Fluid Dynamic Assessment of Three Polymeric Heart Valves Using Particle Image Velocimetry , 2006, Annals of Biomedical Engineering.

[13]  M. Sacks,et al.  Biaxial mechanical response of bioprosthetic heart valve biomaterials to high in-plane shear. , 2003, Journal of biomechanical engineering.

[14]  A P Yoganathan,et al.  Mitral valve compensation for annular dilatation: in vitro study into the mechanisms of functional mitral regurgitation with an adjustable annulus model. , 1999, The Journal of heart valve disease.

[15]  K. Bathe Finite Element Procedures , 1995 .

[16]  Jia Lu,et al.  An Experimentally Derived Stress Resultant Shell Model for Heart Valve Dynamic Simulations , 2006, Annals of Biomedical Engineering.

[17]  Akhtar S. Khan,et al.  Continuum theory of plasticity , 1995 .

[18]  Ajit P Yoganathan,et al.  Microflow fields in the hinge region of the CarboMedics bileaflet mechanical heart valve design. , 2002, The Journal of thoracic and cardiovascular surgery.

[19]  Michael S. Sacks,et al.  A structural constitutive model for chemically treated planar tissues under biaxial loading , 2000 .

[20]  H. Saunders Book Reviews : NUMERICAL METHODS IN FINITE ELEMENT ANALYSIS K.-J. Bathe and E.L. Wilson Prentice-Hall, Inc, Englewood Cliffs, NJ , 1978 .

[21]  Wing Kam Liu,et al.  Nonlinear Finite Elements for Continua and Structures , 2000 .

[22]  William W. L. Glenn,et al.  Thoracic and cardiovascular surgery , 1983 .

[23]  M. Thubrikar The Aortic Valve , 1990 .