Adaptive Mesh Refinement and Adaptive Time Integration for Electrical Wave Propagation on the Purkinje System.

Journal Article

A both space and time adaptive algorithm is presented for simulating electrical wave propagation in the Purkinje system of the heart. The equations governing the distribution of electric potential over the system are solved in time with the method of lines. At each timestep, by an operator splitting technique, the space-dependent but linear diffusion part and the nonlinear but space-independent reactions part in the partial differential equations are integrated separately with implicit schemes, which have better stability and allow larger timesteps than explicit ones. The linear diffusion equation on each edge of the system is spatially discretized with the continuous piecewise linear finite element method. The adaptive algorithm can automatically recognize when and where the electrical wave starts to leave or enter the computational domain due to external current/voltage stimulation, self-excitation, or local change of membrane properties. Numerical examples demonstrating efficiency and accuracy of the adaptive algorithm are presented.

Full Text

Duke Authors

Cited Authors

  • Ying, W; Henriquez, CS

Published Date

  • January 2015

Published In

Volume / Issue

  • 2015 /

Start / End Page

  • 137482 -

PubMed ID

  • 26581455

Electronic International Standard Serial Number (EISSN)

  • 2314-6141

International Standard Serial Number (ISSN)

  • 2314-6133

Digital Object Identifier (DOI)

  • 10.1155/2015/137482

Language

  • eng