On Feedback Resonant Drift and Interaction with the Boundaries in Circular and Annular Excitable Media

E.V.Nikolaev , V.N.Biktashev , and A.V.Holden

March 3, 1997

Abstract:

Resonant drift has been proposed as a means of controlling cardiac arrhythmias. We study resonant drift in circular and annular media in which it is induced by (1) forcing at a fixed frequency (2) feedback controlled by the orientation of the tip of the spiral wave and (3) feedback controlled via monitoring the arrival of the wavefront at a recording point. Trapping resonantly drifting spirals by the holes, their freezing at a fixed site at the outer boundary or in contrast their detaching from the outer boundary produced by the interaction between the resonantly drifting spiral and holes and boundaries are described and explained.

Department of Physiology, University of Leeds, Leeds LS2 9JT, UK
Institute for Mathematical Problems in Biology, Pushchino, Moscow Region, 142292, Russia
Author to whom correspondence should be addressed

• Introduction
• Model formulation
  • Mathematical model
  • Boundary conditions
  • Computational model
  • Parameters
  • Tip position, phase, and instantaneous frequency of wavetip rotation
  • External time forcing
  • Initiation of spiral wave
  • Grid anisotropy
• Results
  • Constant frequency resonant drift
  • Feedback resonant drift monitored by wavetip orientation
  • Feedback resonant drift monitored by a recording electrode
• Conclusion and discussion
• References