ArticleMedical image analysis2013
A three-dimensional finite element model of human atrial anatomy: new methods for cubic Hermite meshes with extraordinary vertices.
Article in Medical image analysis, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 34 papers.
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Who cites it
34 citing papers in PubMed.
- First Clinical Results of Novel Haemodynamic Simulation Software for Patient-Specific Qp:Qs Quantification in Patients with Atrial Septal Defect Using Routine 2D Echocardiographic Data.Journal of clinical medicine · 2026Article
- Impact of Catheter Configuration on the Mapping of Atrial Fibrillation.Circulation. Arrhythmia and electrophysiology · 2026Article
- Iterated Residual Graph Convolutional Neural Network for Personalized Three-Dimensional Reconstruction of Left Myocardium from Cardiac MR Images.Sensors (Basel, Switzerland) · 2023Article
- The physics of heart rhythm disorders.Physics reports · 2022Article
- Forward-Solution Noninvasive Computational Arrhythmia Mapping: The VMAP Study.Circulation. Arrhythmia and electrophysiology · 2022Article
- Rule-based definition of muscle bundles in patient-specific models of the left atrium.Frontiers in physiology · 2022Article
- High-Order Cardiomyopathy Human Heart Model and Mesh Generation.Computing in cardiology · 2021Article
- Computational investigation of left ventricular hemodynamics following bioprosthetic aortic and mitral valve replacement.Mechanics research communications · 2021Article
- Structural Responses of Integrated Parametric Aortic Valve in an Electro-Mechanical Full Heart Model.Annals of biomedical engineering · 2021Article
- Feature Enhancement in Medical Ultrasound Videos Using Contrast-Limited Adaptive Histogram Equalization.Journal of digital imaging · 2020Article
- Imaging of subendocardial adipose tissue and fiber orientation distributions in the human left atrium using optical coherence tomography.Journal of cardiovascular electrophysiology · 2019Article
- A framework for biomechanics simulations using four-chamber cardiac models.Journal of biomechanics · 2019Article
- Personalized computational modeling of left atrial geometry and transmural myofiber architecture.Medical image analysis · 2018Article
- Atlas-Based Computational Analysis of Heart Shape and Function in Congenital Heart Disease.Journal of cardiovascular translational research · 2018Review
- Rotors exhibit greater surface ECG variation during ventricular fibrillation than focal sources due to wavebreak, secondary rotors, and meander.Journal of cardiovascular electrophysiology · 2017Article
- Non-invasive, model-based measures of ventricular electrical dyssynchrony for predicting CRT outcomes.Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology · 2016Article
- Cardiac image modelling: Breadth and depth in heart disease.Medical image analysis · 2016Review
- Automated classification of optical coherence tomography images of human atrial tissue.Journal of biomedical optics · 2016Article
- Comparison of Detailed and Simplified Models of Human Atrial Myocytes to Recapitulate Patient Specific Properties.PLoS computational biology · 2016Article
- Lessons from computer simulations of ablation of atrial fibrillation.The Journal of physiology · 2016Review
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Authors and funding
11 authors.
Funding
Abstract
High-order cubic Hermite finite elements have been valuable in modeling cardiac geometry, fiber orientations, biomechanics, and electrophysiology, but their use in solving three-dimensional problems has been limited to ventricular models with simple topologies. Here, we utilized a subdivision surface scheme and derived a generalization of the "local-to-global" derivative mapping scheme of cubic Hermite finite elements to construct bicubic and tricubic Hermite models of the human atria with extraordinary vertices from computed tomography images of a patient with atrial fibrillation. To an accuracy of 0.6 mm, we were able to capture the left atrial geometry with only 142 bicubic Hermite finite elements, and the right atrial geometry with only 90. The left and right atrial bicubic Hermite meshes were G1 continuous everywhere except in the one-neighborhood of extraordinary vertices, where the mean dot products of normals at adjacent elements were 0.928 and 0.925. We also constructed two biatrial tricubic Hermite models and defined fiber orientation fields in agreement with diagrammatic data from the literature using only 42 angle parameters. The meshes all have good quality metrics, uniform element sizes, and elements with aspect ratios near unity, and are shared with the public. These new methods will allow for more compact and efficient patient-specific models of human atrial and whole heart physiology.
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