Parameterization, geometric modeling, and isogeometric analysis of tricuspid valves

2021_HsuMingChen_ParameterizationGeometric.pdf (8 MB)

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Johnson, Emily
Laurence, Devin
Xu, Fei
Crisp, Caroline
Mir, Arshid
Burkhart, Harold
Lee, Chung-Hao
Hsu, Ming-Chen
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Approximately 1.6 million patients in the United States are affected by tricuspid valve regurgitation, which occurs when the tricuspid valve does not close properly to prevent backward blood flow into the right atrium. Despite its critical role in proper cardiac function, the tricuspid valve has received limited research attention compared to the mitral and aortic valves on the left side of the heart. As a result, proper valvular function and the pathologies that may cause dysfunction remain poorly understood. To promote further investigations of the biomechanical behavior and response of the tricuspid valve, this work establishes a parameter-based approach that provides a template for tricuspid valve modeling and simulation. The proposed tricuspid valve parameterization presents a comprehensive description of the leaflets and the complex chordae tendineae for capturing the typical three-leaflet structural deformation observed from medical data. This simulation framework develops a practical procedure for modeling tricuspid valves and offers a robust, flexible approach to analyze the performance and effectiveness of various valve configurations using isogeometric analysis. The proposed methods also establish a baseline to examine the tricuspid valve’s structural deformation, perform future investigations of native valve configurations under healthy and disease conditions, and optimize prosthetic valve designs.


This is a manuscript of an article published as Johnson, Emily L., Devin W. Laurence, Fei Xu, Caroline E. Crisp, Arshid Mir, Harold M. Burkhart, Chung-Hao Lee, and Ming-Chen Hsu. "Parameterization, geometric modeling, and isogeometric analysis of tricuspid valves." Computer Methods in Applied Mechanics and Engineering 384 (2021): 113960. DOI: 10.1016/j.cma.2021.113960. Posted with permission.

Isogeometric analysis, Tricuspid valves, Atrioventricular valves, Valvular heart disease, Parametric modeling, Template-based approach