A general three-dimensional parametric geometry of the native aortic valve and root for biomechanical modeling.

The complex three-dimensional (3D) geometry of the native tricuspid aortic valve (AV) is represented by select parametric curves allowing for a general construction and representation of the 3D-AV structure including the cusps, commissures and sinuses. The proposed general mathematical description is performed by using three independent parametric curves, two for the cusp and one for the sinuses. These curves are used to generate different surfaces that form the structure of the AV. Additional dependent curves are also generated and utilized in this process, such as the joint curve between the cusps and the sinuses. The model's feasibility to generate patient-specific parametric geometry is examined against 3D-transesophageal echocardiogram (3D-TEE) measurements from a non-pathological AV. Computational finite-element (FE) mesh can then be easily constructed from these surfaces. Examples are given for constructing several 3D-AV geometries by estimating the needed parameters from echocardiographic measurements. The average distance (error) between the calculated geometry and the 3D-TEE measurements was only 0.78±0.63mm. The proposed general 3D parametric method is very effective in quantitatively representing a wide range of native AV structures, with and without pathology. It can also facilitate a methodical quantitative investigation over the effect of pathology and mechanical loading on these major AV parameters.

[1]  D. Faxon,et al.  Circulation: cardiovascular interventions: keeping pace with progress. , 2008, Circulation. Cardiovascular interventions.

[2]  W. M. Swanson,et al.  Dimensions and Geometric Relationships of the Human Aortic Value as a Function of Pressure , 1974, Circulation research.

[3]  Friedhelm Beyersdorf,et al.  Assessment of aortic annulus dimensions for Edwards SAPIEN Transapical Heart Valve implantation by computed tomography: calculating average diameter using a virtual ring method. , 2010, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.

[4]  Gil Marom,et al.  Aortic root numeric model: annulus diameter prediction of effective height and coaptation in post-aortic valve repair. , 2013, The Journal of thoracic and cardiovascular surgery.

[5]  K. J. Grande,et al.  Stress Variations in the Human Aortic Root and Valve: The Role of Anatomic Asymmetry , 1998, Annals of Biomedical Engineering.

[6]  T. Schmitz-Rode,et al.  The geometry of the aortic root in health, at valve disease and after valve replacement. , 1990, Journal of biomechanics.

[7]  F P T Baaijens,et al.  A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. , 2003, Journal of biomechanics.

[8]  Robert H. Anderson,et al.  Anatomy of the Aortic Valvar Complex and Its Implications for Transcatheter Implantation of the Aortic Valve , 2008, Circulation. Cardiovascular interventions.

[9]  Alberto Redaelli,et al.  FINITE ELEMENT SIMULATIONS OF THE PHYSIOLOGICAL AORTIC ROOT AND VALVE SPARING CORRECTIONS , 2006 .

[10]  Karyn S Kunzelman,et al.  A coupled fluid-structure finite element model of the aortic valve and root. , 2003, The Journal of heart valve disease.

[11]  C. Lamberti,et al.  A Study of Functional Anatomy of Aortic-Mitral Valve Coupling Using 3D Matrix Transesophageal Echocardiography , 2009, Circulation. Cardiovascular imaging.

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

[13]  I. C. Howard,et al.  On the opening mechanism of the aortic valve: some observations from simulations , 2003, Journal of medical engineering & technology.

[14]  C M Otto,et al.  The bicuspid aortic valve: an integrated phenotypic classification of leaflet morphology and aortic root shape , 2008, Heart.

[15]  Robert H. Anderson,et al.  A 'hemispherical' model of aortic valvar geometry. , 2008, The Journal of heart valve disease.

[16]  K S Kunzelman,et al.  Aortic root and valve relationships. Impact on surgical repair. , 1994, The Journal of thoracic and cardiovascular surgery.

[17]  Alberto Redaelli,et al.  Mitral valve finite-element modelling from ultrasound data: a pilot study for a new approach to understand mitral function and clinical scenarios , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[18]  Paul Schoenhagen,et al.  Three-dimensional imaging of the aortic valve and aortic root with computed tomography: new standards in an era of transcatheter valve repair/implantation. , 2009, European heart journal.

[19]  Wei Sun,et al.  Fluid Simulation of a Transcatheter Aortic Valve Deployment into a Patient-Specific Aortic Root , 2011 .

[20]  Andrew E. Arai,et al.  Aortic valve disease in Turner syndrome. , 2008, Journal of the American College of Cardiology.

[21]  Nassir Navab,et al.  Patient-Specific Modeling and Quantification of the Aortic and Mitral Valves From 4-D Cardiac CT and TEE , 2010, IEEE Transactions on Medical Imaging.

[22]  Michel R Labrosse,et al.  Geometric modeling of functional trileaflet aortic valves: development and clinical applications. , 2006, Journal of biomechanics.

[23]  Eli J Weinberg,et al.  Transient, Three-dimensional, Multiscale Simulations of the Human Aortic Valve , 2007, Cardiovascular engineering.