Application of complexity theory to the analysis of progression of 4:1 to higher degrees of atrioventricular block

F. Moleiro, V. Ruesta, H. Acosta, A. Castellanos, R. J. Myerburg

Research output: Contribution to journalArticlepeer-review

Abstract

It has been postulated that complexity (com) theory (as proposed by the Sante Fe Institute), which examines the patterns emerging between order and chaos (at the edge of chaos), may fulfill a role in the analysis of certain arrhythmias such as the progression of atrial flutter (AF) with 2:1 to 3:1 and 4:1 block (B). To determine its applicability to conduction ratios (ra) occurring between "stable" 4:1 B considered as order and maximal irregularity of ra (considered as chaos) we studied Holler recordings in 6 medicated patients in whom AF with 4:1 B progressed to higher (up to 2 10:1) degrees of block. The ra in each episode (ep) were expressed numerically as well as M (number of atrial deflections):N (number of ventricular complexes). In stage 1 (com) 1,325 ep of 4:1 B progressed (letter representation in parentheses) to one (4N+2:N) or several cycles of 6:1 B and to one (4N+4:N) or several cycles of 8:1 B. In these ep the ra between adjacent M:N and M':N' ra could be expressed as M+M':N+N' in hypothetical direct 4:1 to 6:1 and 4:1 to 8:1 steps of the so called devil's staircase. In the 398 ep of stage 2, 4:1 B progressed in multiple ways which could not be categorized as in the previous stage: a) to 5:1 to 6:1; b) to 6:1 to 8:1; and c) to 6:1 to 8:1 to a 10 B. This maximal irregularity of ra was categorized as chaos. In summary: 1) stage 1 is compatible with the postulates of com theory since it appeared between stability and apparent randomness of ra.

Original languageEnglish (US)
Pages (from-to)210a
JournalJournal of Investigative Medicine
Volume44
Issue number3
StatePublished - Jan 1 1996

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)

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