Modelling myocardial excitation wavefront propagation in ventricles by finite element solution of an eikonal equation

Author

Tomlinson, K.A. ; Pullan, A.J. ; Hunter, P.J.

Author_Institution

Dept. of Eng. Sci., Auckland Univ., New Zealand

Volume

2

fYear

1999

fDate

36434

Abstract

The spreading of excitation in ventricular myocardium is modelled by treating the thin region of rapidly depolarizing tissue as a propagating wavefront. The model determines tissue excitation time using an eikonal equation that includes the effects of wavefront orientation in the myocardial structure and wavefront curvature. Use of a Petrov-Galerkin finite element method with a no-inflow boundary condition enables the eikonal equation to be solved on reasonably coarse meshes of cubic Hermite elements. The method is applied successfully on a model of the complete canine ventricular myocardium

Keywords

Galerkin method; bioelectric potentials; biological tissues; cardiology; finite element analysis; inverse problems; muscle; physiological models; Petrov-Galerkin finite element method; coarse meshes; complete canine ventricular myocardium; cubic Hermite elements; eikonal equation; excitation spreading; finite element solution; myocardial excitation wavefront propagation; myocardial structure; no-inflow boundary condition; propagating wavefront; rapidly depolarizing tissue; thin region; tissue excitation time; ventricles; ventricular myocardium; wavefront curvature; wavefront orientation; Biomembranes; Boundary conditions; Electric potential; Finite element methods; Heart; Inverse problems; Myocardium; Nonlinear equations; Surface reconstruction; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

[Engineering in Medicine and Biology, 1999. 21st Annual Conference and the 1999 Annual Fall Meetring of the Biomedical Engineering Society] BMES/EMBS Conference, 1999. Proceedings of the First Joint

Conference_Location

Atlanta, GA

ISSN

1094-687X

Print_ISBN

0-7803-5674-8

Type

conf

DOI

10.1109/IEMBS.1999.804365

Filename

804365