Paper Info
Title
Biomechanics simulations using cubic Hermite meshes with extraordinary nodes for isogeometric cardiac modeling.
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.
Year
DOI
Venue
2016
10.1016/j.cagd.2016.02.016
Computer Aided Geometric Design
Keywords
Field
DocType
Cardiac Modeling,Cubic-Hermite Hexahedral Elements,Extraordinary Nodes,Finite Element Analysis,Isogeometric Analysis
Convergence (routing),Topology,Hexahedron,Mathematical optimization,Polygon mesh,Isogeometric analysis,Hermite polynomials,Finite element method,Cardiac cycle,Tetrahedron,Mathematics
Journal
Volume
Issue
ISSN
43
C
0167-8396
Citations 
PageRank 
References 
0
0.34
9
Authors
5
Name
Order
Citations
PageRank
Adarsh Krishnamurthy110712.51
M J Gonzales28634.12
Gregory M. Sturgeon381.86
William P Segars491.81
Andrew D. McCulloch513719.05