Title :
Forward Euler Stability of the Bidomain Model of Cardiac Tissue
Author :
Puwal, S. ; Roth, B.J.
Author_Institution :
Dept. of Phys., Oakland Univ., Rochester, MI
fDate :
5/1/2007 12:00:00 AM
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
Keywords :
bioelectric phenomena; cardiology; numerical stability; physiological models; anisotropic electrical properties; bidomain equations; bidomain model; cardiac tissue; forward Euler stability; Anisotropic magnetoresistance; Biomembranes; Cardiac tissue; Conductivity; Equations; Extracellular; Numerical stability; Physics; Stability analysis; Tensile stress; Bidomain; Euler method; cardiac; numerical stability; Computer Simulation; Electric Conductivity; Electric Stimulation; Electrophysiology; Heart; Membrane Potentials; Models, Cardiovascular; Models, Theoretical; Myocardium; Numerical Analysis, Computer-Assisted;
Journal_Title :
Biomedical Engineering, IEEE Transactions on
DOI :
10.1109/TBME.2006.889204
