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Cytrynbaum EN, MacKay V, Nahman-Lévesque O, Dobbs M, Bub G, Shrier A, Glass L. Double-wave reentry in excitable media. CHAOS (WOODBURY, N.Y.) 2019; 29:073103. [PMID: 31370409 DOI: 10.1063/1.5092982] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/15/2019] [Accepted: 06/13/2019] [Indexed: 06/10/2023]
Abstract
A monolayer of chick embryo cardiac cells grown in an annular geometry supports two simultaneous reentrant excitation waves that circulate as a doublet. We propose a mechanism that can lead to such behavior. The velocity restitution gives the instantaneous velocity of a wave as a function of the time since the passage of the previous wave at a given point in space. Nonmonotonic restitution relationships will lead to situations in which various spacings between circulating waves are possible. In cardiology, the situation in which two waves travel in an anatomically defined circuit is referred to as double-wave reentry. Since double-wave reentry may arise as a consequence of pacing during cardiac arrhythmias, understanding the dynamic features of double-wave reentry may be helpful in understanding the physiological properties of cardiac tissue and in the design of therapy.
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Affiliation(s)
- Eric N Cytrynbaum
- Department of Mathematics, University of British Columbia, 1984 Mathematics Rd #121, Vancouver, British Columbia V6T 1Z2, Canada
| | - Vincent MacKay
- Department of Physiology, McGill University, 3655 Promenade Sir William Osler, Montreal, Quebec H3G 1Y6, Canada
| | - Olivier Nahman-Lévesque
- Department of Physiology, McGill University, 3655 Promenade Sir William Osler, Montreal, Quebec H3G 1Y6, Canada
| | - Matt Dobbs
- Department of Physics, McGill University, 3600 rue University, Montreal, Quebec H3A 2T8, Canada
| | - Gil Bub
- Department of Physiology, McGill University, 3655 Promenade Sir William Osler, Montreal, Quebec H3G 1Y6, Canada
| | - Alvin Shrier
- Department of Physiology, McGill University, 3655 Promenade Sir William Osler, Montreal, Quebec H3G 1Y6, Canada
| | - Leon Glass
- Department of Physiology, McGill University, 3655 Promenade Sir William Osler, Montreal, Quebec H3G 1Y6, Canada
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