ArticleComputer aided geometric design2016
Biomechanics Simulations Using Cubic Hermite Meshes with Extraordinary Nodes for Isogeometric Cardiac Modeling.
Article in Computer aided geometric design, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed, 20 citations in OpenAlex.
- Long-term inhaling ultrafine zinc particles increases cardiac wall stresses elevated by myocardial infarction.Biomedical engineering online · 2024Article
- Current progress toward isogeometric modeling of the heart biophysics.Biophysics reviews · 2023Review
- Cell to whole organ global sensitivity analysis on a four-chamber heart electromechanics model using Gaussian processes emulators.PLoS computational biology · 2023Article
- A Computationally Efficient Approach to Simulate Heart Rate Effects Using a Whole Human Heart Model.Bioengineering (Basel, Switzerland) · 2022Article
- Computational investigation of left ventricular hemodynamics following bioprosthetic aortic and mitral valve replacement.Mechanics research communications · 2021Article
- Simulating ventricular systolic motion in a four-chamber heart model with spatially varying robin boundary conditions to model the effect of the pericardium.Journal of biomechanics · 2020Article
- Speckle tracking echocardiography could detect the difference of pressure overload-induced myocardial remodelling between young and adult rats.Journal of the Royal Society, Interface · 2020Article
- A framework for biomechanics simulations using four-chamber cardiac models.Journal of biomechanics · 2019Article
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Authors and funding
5 authors at 5 institutions in 1 country.
Funding
Abstract
Cubic Hermite hexahedral finite element meshes have some well-known advantages over linear tetrahedral finite element meshes in biomechanical and anatomic modeling using isogeometric analysis. These include faster convergence rates as well as the ability to easily model rule-based anatomic features such as cardiac fiber directions. However, it is not possible to create closed complex objects with only regular nodes; these objects require the presence of extraordinary nodes (nodes with 3 or >= 5 adjacent elements in 2D) in the mesh. The presence of extraordinary nodes requires new constraints on the derivatives of adjacent elements to maintain continuity. We have developed a new method that uses an ensemble coordinate frame at the nodes and a local-to-global mapping to maintain continuity. In this paper, we make use of this mapping to create cubic Hermite models of the human ventricles and a four-chamber heart. We also extend the methods to the finite element equations to perform biomechanics simulations using these meshes. The new methods are validated using simple test models and applied to anatomically accurate ventricular meshes with valve annuli to simulate complete cardiac cycle simulations.
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