Renewal theory as a universal quantitative framework to characterize phase singularity regeneration in mammalian cardiac fibrillation

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dc.contributor.authorDharmaprani, D.
dc.contributor.authorSchopp, M.
dc.contributor.authorKuklik, P.
dc.contributor.authorChapman, D.
dc.contributor.authorLahiri, A.
dc.contributor.authorDykes, L.
dc.contributor.authorXiong, F.
dc.contributor.authorAguilar, M.
dc.contributor.authorStrauss, B.
dc.contributor.authorMitchell, L.
dc.contributor.authorPope, K.
dc.contributor.authorMeyer, C.
dc.contributor.authorWillems, S.
dc.contributor.authorAkar, F.G.
dc.contributor.authorNattel, S.
dc.contributor.authorMcGavigan, A.D.
dc.contributor.authorGanesan, A.N.
dc.date.issued2019
dc.description.abstractBACKGROUND: Despite a century of research, no clear quantitative framework exists to model the fundamental processes responsible for the continuous formation and destruction of phase singularities (PS) in cardiac fibrillation. We hypothesized PS formation/destruction in fibrillation could be modeled as self-regenerating Poisson renewal processes, producing exponential distributions of interevent times governed by constant rate parameters defined by the prevailing properties of each system. METHODS: PS formation/destruction were studied in 5 systems: (1) human persistent atrial fibrillation (n=20), (2) tachypaced sheep atrial fibrillation (n=5), (3) rat atrial fibrillation (n=4), (5) rat ventricular fibrillation (n=11), and (5) computer-simulated fibrillation. PS time-to-event data were fitted by exponential probability distribution functions computed using maximum entropy theory, and rates of PS formation and destruction (λf/λd) determined. A systematic review was conducted to cross-validate with source data from literature. RESULTS: In all systems, PS lifetime and interformation times were consistent with underlying Poisson renewal processes (human: λf, 4.2%/ms±1.1 [95% CI, 4.0-5.0], λd, 4.6%/ms±1.5 [95% CI, 4.3-4.9]; sheep: λf, 4.4%/ms [95% CI, 4.1-4.7], λd, 4.6%/ms±1.4 [95% CI, 4.3-4.8]; rat atrial fibrillation: λf, 33%/ms±8.8 [95% CI, 11-55], λd, 38%/ms [95% CI, 22-55]; rat ventricular fibrillation: λf, 38%/ms±24 [95% CI, 22-55], λf, 46%/ms±21 [95% CI, 31-60]; simulated fibrillation λd, 6.6-8.97%/ms [95% CI, 4.1-6.7]; R2 ≥0.90 in all cases). All PS distributions identified through systematic review were also consistent with an underlying Poisson renewal process. CONCLUSIONS: Poisson renewal theory provides an evolutionarily preserved universal framework to quantify formation and destruction of rotational events in cardiac fibrillation.
dc.description.statementofresponsibilityDhani Dharmaprani, Madeline Schopp, Pawel Kuklik, Darius Chapman, Anandaroop Lahiri ... Lewis Mitchell ... et al.
dc.identifier.citationCirculation: Arrhythmia and Electrophysiology, 2019; 12(12):e007569-e007569
dc.identifier.doi10.1161/CIRCEP.119.007569
dc.identifier.issn1941-3084
dc.identifier.issn1941-3084
dc.identifier.orcidDharmaprani, D. [0000-0003-4660-0119]
dc.identifier.orcidKuklik, P. [0000-0001-8440-654X]
dc.identifier.orcidMitchell, L. [0000-0001-8191-1997]
dc.identifier.urihttp://hdl.handle.net/2440/122741
dc.language.isoen
dc.publisherAmerican Heart Association
dc.relation.granthttp://purl.org/au-research/grants/nhmrc/1063754
dc.rights© 2019 American Heart Association, Inc.
dc.source.urihttps://doi.org/10.1161/circep.119.007569
dc.subjectatrial fibrillation
dc.subjectphase singularities
dc.subjectrenewal theory
dc.subjectstochastic processes
dc.subjectventricular fibrillation
dc.titleRenewal theory as a universal quantitative framework to characterize phase singularity regeneration in mammalian cardiac fibrillation
dc.typeJournal article
pubs.publication-statusPublished

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