期刊
COMPUTER AIDED GEOMETRIC DESIGN
卷 43, 期 -, 页码 27-38出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cagd.2016.02.016
关键词
Extraordinary nodes; Finite element analysis; Cubic-Hermite hexahedral elements; Cardiac modeling; Isogeometric analysis
资金
- NIH [NHLBI 1 R01 HL96544, NHLBI 1 R01 HL091036, NHLBI 5 T32 HL007089, NHLBI 1 T32 HL105373, NIBIB 1 T32 EB009380, NIGMS 8 P41 GM103426]
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. (C) 2016 Elsevier B.V. All rights reserved.
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