Linear algebraic transformations of the bidomain equations: implications for numerical methods.


Journal Article

A mathematical framework is presented for the treatment of the bidomain equations used to model propagation in cardiac tissue. This framework is independent of the model used to represent membrane ionic currents and incorporates boundary conditions and other constraints. By representing the bidomain equations in the operator notation L phi = F, various algebraic transformations can be expressed as PLQ-1 psi = PF, where P and Q are linear operators. The authors show how previous work fits into this framework and discuss the implications of various transformation for numerical methods of solution. Although such transformations allow many choices of independent variable, these results emphasize the fundamental importance of the transmembrane potential.

Full Text

Duke Authors

Cited Authors

  • Hooke, N; Henriquez, CS; Lanzkron, P; Rose, D

Published Date

  • April 1, 1994

Published In

Volume / Issue

  • 120 / 2

Start / End Page

  • 127 - 145

PubMed ID

  • 8204981

Pubmed Central ID

  • 8204981

Electronic International Standard Serial Number (EISSN)

  • 1879-3134

International Standard Serial Number (ISSN)

  • 0025-5564

Digital Object Identifier (DOI)

  • 10.1016/0025-5564(94)90049-3


  • eng