title: A meshfree method for solving cardiac electrical propagation.
abstract: We present a novel numerical scheme to accurately and efficiently simulate the spatiotemporal electrical propagation for three dimensional heart model. A meshfree particle representation of myocardial volume is first developed, upon which the electrical propagation can be obtained using the element-free Galerkin (EFG) method for the FitzHugh-Nagumo model. This method is based on a sufficient amount of sampling nodes of the three-dimensional myocardial volume, but without the needs to construct the often expensive and complicated mesh structure between these nodes. Compared to the traditional finite element method, this new approach provides a more efficient numerical method to model the effects of the myocardial geometrical complexity and material inhomogeneity/anisotropicness. Experiments on synthetic and real heart geometries with uniform and nonuniform diffuse materials are presented. Related implementation issues are also discussed.
authors.affiliation: Department of Electrical and Electronic Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong. eezhy@ust.hk.
authors.forename: Heye
authors.initials: H
authors.lastname: Zhang
authors.forename: Pengcheng
authors.initials: P
authors.lastname: Shi