A meshfree method for simulating myocardial electrical activity
type: Item
instance of: scholarly article
title: A meshfree method for simulating myocardial electrical activity
zbMATH Open document ID: 1401.92048
DOI: 10.1155/2012/936243
author: Heye Zhang
author: Huajun Ye
author: Wenhua Huang
published in: Computational \& Mathematical Methods in Medicine
publication date: 2012-10-10T00:00:00Z
review text: Summary: An element-free Galerkin method (EFGM) is proposed to simulate the propagation of myocardial electrical activation without explicit mesh constraints using a monodomain model. In our framework the geometry of myocardium is first defined by a meshfree particle representation that is, a sufficient number of sample nodes without explicit connectivities are placed in and inside the surface of myocardium. Fiber orientations and other material properties of myocardium are then attached to sample nodes according to their geometrical locations, and over the meshfree particle representation spatial variation of these properties is approximated using the shape function of EFGM. After the monodomain equations are converted to their Galerkin weak form and solved using EFGM, the propagation of myocardial activation can be simulated over the meshfree particle representation. The derivation of this solution technique is presented along a series of numerical experiments and a solution of monodomain model using a FitzHugh-Nagumo (FHN) membrane model in a canine ventricular model and a human-heart model which is constructed from digitized virtual Chinese dataset.
Mathematics Subject Classification ID: 92C30
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6092400
zbMATH Keywords: myocardial electrical activity
zbMATH Keywords: element-free Galerkin method
Wikidata QID: Q36240939
describes a project that uses: Mfree2D
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/936243
OpenAlex ID: W2050006395
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DBLP publication ID: journals/cmmm/ZhangYH12
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description: scientific article; zbMATH DE number 6092400