Annihilation and reflection of spiral waves at a boundary for the Beeler-Reuter model.
We employ a reaction diffusion equation with local dynamics specified by the Beeler-Reuter model to study the meandering of spiral waves. With the appropriate choice for the conductances of sodium and calcium channels, the trajectory of the tip of a spiral wave lies on a straight line. The phenomenon of annihilation or reflection of a spiral at the boundaries of the domain is studied. This phenomenon is analyzed in terms of the variable j , which controls the reactivation of the sodium channel in the Beeler-Reuter model. The results presented can have potential applications in the study of cardiac arrhythmias by providing insight on the interaction between spiral waves and obstacles in the heart.
Institute of Applied Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1. daniel@iam.ubc.ca
Daniel
D
Olmos
Bernie D
BD
Shizgal
D000200:Action Potentials; D000465:Algorithms; D001145:Arrhythmias, Cardiac / Q000473:pathology; D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D006321:Heart; D006329:Heart Conduction System; D006352:Heart Ventricles / Q000473:pathology; D007700:Kinetics; D008566:Membranes / Q000737:chemistry; D008955:Models, Cardiovascular; D008962:Models, Theoretical; D032383:Myocytes, Cardiac; D017711:Nonlinear Dynamics; D015222:Sodium Channels / Q000737:chemistry
D015222:Sodium Channels