Document Detail

A generalized finite difference method for modeling cardiac electrical activation on arbitrary, irregular computational meshes.
MedLine Citation:
PMID:  16140344     Owner:  NLM     Status:  MEDLINE    
A generalized finite difference (GFD) method is presented that can be used to solve the bi-domain equations modeling cardiac electrical activity. Classical finite difference methods have been applied by many researchers to the bi-domain equations. However, these methods suffer from the limitation of requiring computational meshes that are structured and orthogonal. Finite element or finite volume methods enable the bi-domain equations to be solved on unstructured meshes, although implementations of such methods do not always cater for meshes with varying element topology. The GFD method solves the bi-domain equations on arbitrary and irregular computational meshes without any need to specify element basis functions. The method is useful as it can be easily applied to activation problems using existing meshes that have originally been created for use by finite element or finite difference methods. In addition, the GFD method employs an innovative approach to enforcing nodal and non-nodal boundary conditions. The GFD method performs effectively for a range of two and three-dimensional test problems and when computing bi-domain electrical activation moving through a fully anisotropic three-dimensional model of canine ventricles.
Mark L Trew; Bruce H Smaill; David P Bullivant; Peter J Hunter; Andrew J Pullan
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't     Date:  2005-09-06
Journal Detail:
Title:  Mathematical biosciences     Volume:  198     ISSN:  0025-5564     ISO Abbreviation:  Math Biosci     Publication Date:  2005 Dec 
Date Detail:
Created Date:  2005-11-28     Completed Date:  2006-01-25     Revised Date:  2009-11-11    
Medline Journal Info:
Nlm Unique ID:  0103146     Medline TA:  Math Biosci     Country:  United States    
Other Details:
Languages:  eng     Pagination:  169-89     Citation Subset:  IM    
Bioengineering Institute, The University of Auckland, Private Bag 92019, Auckland, New Zealand.
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MeSH Terms
Finite Element Analysis
Heart Ventricles / anatomy & histology
Models, Cardiovascular*
Ventricular Function

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

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