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Alternans amplification following a two-stimulations protocol in a one-dimensional cardiac ionic model of reentry: from annihilation to double-wave quasiperiodic reentry

2003/10/07 by Philippe Comtois, Comtois, Philippe, Alain Vinet +1
Biochemistry, Genetics and Molecular Biology · Chemistry · Computer Science · Medicine · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Cardiac electrophysiology and arrhythmias #Electrochemical Analysis and Applications #FOS: Biological sciences #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Tissues and Organs (q-bio.TO) #physics.bio-ph #q-bio.TO

paper · pdf · doi:10.48550/arxiv.physics/0310031

33 pages, 8 figures, 3 appendices

arxiv created 2003/10/07 · openalex publication_date 2003/10/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Electrical pacing is a common procedure that is used in both experimental and clinical settings for studying and/or annihilating anatomical reentry. In a recent study [Comtois and Vinet, Chaos 12, 903 (2002)], new ways to terminate the one-dimensional reentry using a simple protocol consisting of only two stimulations were discovered. The probability of annihilating the reentrant activity is much more probable by these new scenarios than by the usual local unidirectional block. This paper is an extension of the previous study in which the sensitivity of the new scenarios of annihilation to the pathway length is studied. It follows that reentry can be stopped over a limited interval of the pathway length and that increasing the length beyond the upper limit of this interval yields to a transition to sustained double-wave reentry. A similar dynamical mechanism, labeled alternans amplification, is found to be responsible for both behaviors.

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