Multi-resolution geometric modeling of the mitral heart valve leaflets

Area of Science:

• Biomedical Engineering
• Computational Biology
• Cardiovascular Research

Background:

• The mitral valve (MV) is crucial for cardiac function, directing blood flow.
• Computational simulations aid in understanding valvular function and MV disease treatments.
• Accurate quantification and representation of MV leaflet geometry remain challenging.

Purpose of the Study:

• To present a novel pipeline for quantitative characterization and representation of mitral valve leaflet surface geometry.
• To develop customizable computational models of the mitral valve.
• To identify the necessary geometric complexity for accurate predictive MV simulations.

Main Methods:

• Utilized a two-part additive decomposition to separate macro-level and fine-scale geometric features.
• Modeled general leaflet shapes using superquadric surfaces.
• Quantified and reconstructed fine-scale details using 2D Fourier analysis with sparsity constraints.

Main Results:

• The methodology successfully characterized and represented MV leaflet surface geometry.
• A spectral approach allowed adjustable control over geometric detail in reconstructions.
• Developed robust and accurate MV-specific models with adjustable spatial resolution.

Conclusions:

• The novel pipeline offers a robust and accurate method for mitral valve modeling.
• Customizable models enable simulations at varying geometric accuracies.
• This approach facilitates identifying the required complexity for predictive cardiovascular simulations.