Development of a Computational Method for Simulating Tricuspid Valve Dynamics

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Annals of Biomedical Engineering ( 2019) https://doi.org/10.1007/s10439-019-02243-y

Development of a Computational Method for Simulating Tricuspid Valve Dynamics SHELLY SINGH-GRYZBON,1 VAHID SADRI,1 MILAN TOMA,1,2 ERIC L. PIERCE,1 ZHENGLUN A. WEI,1 and AJIT P. YOGANATHAN 1 1 The Wallace H. Coulter School of Biomedical Engineering, Georgia Institute of Technology & Emory University, Technology Enterprise Park, 387 Technology Circle, Atlanta, GA 30313-2412, USA; and 2Department of Mechanical Engineering, School of Engineering & Computing Sciences, New York Institute of Technology, New York, NY, USA

(Received 12 September 2018; accepted 6 March 2019) Associate Editor Umberto Morbiducci oversaw the review of this article.

Abstract—Computational modeling can be used to improve understanding of tricuspid valve (TV) biomechanics and supplement knowledge gained from benchtop and large animal experiments. The aim of this study was to develop a computational model of the TV using high resolution microcomputed tomography (lCT) imaging and fluid–structure interaction simulations. A three-dimensional TV model, incorporating detailed leaflet and chordal geometries, was reconstructed from lCT images of an excised porcine TV obtained under diastolic conditions. The leaflets were described using non-linear stress–strain relations and chordal properties were iteratively adjusted until valve closure was obtained. The leaflet coaptation zone obtained from simulation of valve closure was validated against lCT images of the TV captured at peak systole. The computational model was then used to simulate a regurgitant TV morphology and investigate changes in closure dynamics. Overall, the mean stresses in the leaflet belly region and the chordae tendinae of the regurgitant TV were 7% and 3% higher than the same regions of the normal TV. The maximum principal strain in the leaflet belly of the regurgitant TV was also 9% higher than the same regions of the normal TV. It is anticipated that this computational model can be used in future studies for further understanding of TV biomechanics and associated percutaneous repairs.

ABBREVIATIONS 3D AL APM CFD CRHS CT FE FSI PL PPM PM SL SPH SPM TR TTV TV

Three dimensional Anterior leaflet Anterior papillary muscle Computational fluid dynamics Cylindrical right heart simulator Computed tomography Finite element Fluid–structure interaction Posterior leaflet Posterior papillary muscle Papillary muscle Septal leaflet Smooth particle hydrodynamics Septal papillary muscle Tricuspid regurgitation Transcatheter tricuspid valve Tricuspid valve

INTRODUCTION Keywords—Biomechanics, SPH, Tricuspid regurgitation, Micro-CT, Fluid–structure interaction.

Address correspondence to Ajit P. Yoganathan, The Wallace H. Coulter School of Biomedical Engineering, Georgia Institute of Technology & Emory University, Technology Enterprise Park, 387 Technology Circle, Atlanta, GA 30313-2412, USA. Electronic mail: [email protected]

The tricuspid valve (TV) is the largest heart valve and is responsible for regulating