title: Forward Euler stability of the bidomain model of cardiac tissue.
abstract: The bidomain model describes the anisotropic electrical properties of cardiac tissue. One common numerical technique for solving the bidomain equations is the explicit forward Euler method. In this communication we derive a relationship between the time and space steps that ensures the stability of this numerical method.
authors.affiliation: Department of Physics, Oakland University, Rochester, MI 48309, USA. smpuwal2@oakland.edu
authors.forename: Steffan
authors.initials: S
authors.lastname: Puwal
authors.forename: Bradley J
authors.initials: BJ
authors.lastname: Roth
mesh_terms: D003198:Computer Simulation; D004553:Electric Conductivity; D004558:Electric Stimulation; D004594:Electrophysiology; D006321:Heart / Q000502:physiology*; D008564:Membrane Potentials / Q000502:physiology; D008955:Models, Cardiovascular; D008962:Models, Theoretical; D009206:Myocardium; D009716:Numerical Analysis, Computer-Assisted