A numerical scheme for modeling wavefront propagation on a monolayer of arbitrary geometry.

Journal Article (Journal Article)

The majority of models of wavefront propagation in cardiac tissue have assumed relatively simple geometries. Extensions to complicated three-dimensional (3-D) representations are computationally challenging due to issues related both to problem size and to the correct implementation of flux conservation. In this paper, we present a generalized finite difference scheme (GDFS) to simulate the reaction-diffusion system on a 3-D monolayer of arbitrary shape. GDFS is a vertex-centered variant of the finite-volume method that ensures local flux conservation. Owing to an effectively lower dimensionality, the overall computation time is reduced compared to full 3-D models at the same spatial resolution. We present the theoretical background to compute both the wavefront conduction and local electrograms using a matrix formulation. The same matrix is used for both these quantities. We then give some results of simulation for simple monolayers and complex monolayers resembling a human atria.

Full Text

Duke Authors

Cited Authors

  • Zozor, S; Blanc, O; Jacquemet, V; Virag, N; Vesin, J-M; Pruvot, E; Kappenberger, L; Henriquez, C

Published Date

  • April 2003

Published In

Volume / Issue

  • 50 / 4

Start / End Page

  • 412 - 420

PubMed ID

  • 12723052

Electronic International Standard Serial Number (EISSN)

  • 1558-2531

International Standard Serial Number (ISSN)

  • 0018-9294

Digital Object Identifier (DOI)

  • 10.1109/tbme.2003.809505


  • eng