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Renewal Theory as a Universal Quantitative Framework to Characterize Phase Singularity Regeneration in Mammalian Cardiac Fibrillation.
- Source :
-
Circulation. Arrhythmia and electrophysiology [Circ Arrhythm Electrophysiol] 2019 Dec; Vol. 12 (12), pp. e007569. Date of Electronic Publication: 2019 Dec 09. - Publication Year :
- 2019
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Abstract
- Background: 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.<br />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 (λ <subscript>f</subscript> /λ <subscript>d</subscript> ) determined. A systematic review was conducted to cross-validate with source data from literature.<br />Results: In all systems, PS lifetime and interformation times were consistent with underlying Poisson renewal processes (human: λ <subscript>f</subscript> , 4.2%/ms±1.1 [95% CI, 4.0-5.0], λ <subscript>d</subscript> , 4.6%/ms±1.5 [95% CI, 4.3-4.9]; sheep: λ <subscript>f</subscript> , 4.4%/ms [95% CI, 4.1-4.7], λ <subscript>d</subscript> , 4.6%/ms±1.4 [95% CI, 4.3-4.8]; rat atrial fibrillation: λ <subscript>f</subscript> , 33%/ms±8.8 [95% CI, 11-55], λ <subscript>d</subscript> , 38%/ms [95% CI, 22-55]; rat ventricular fibrillation: λ <subscript>f</subscript> , 38%/ms±24 [95% CI, 22-55], λ <subscript>f</subscript> , 46%/ms±21 [95% CI, 31-60]; simulated fibrillation λ <subscript>d</subscript> , 6.6-8.97%/ms [95% CI, 4.1-6.7]; R <superscript> 2 </superscript> ≥0.90 in all cases). All PS distributions identified through systematic review were also consistent with an underlying Poisson renewal process.<br />Conclusions: Poisson renewal theory provides an evolutionarily preserved universal framework to quantify formation and destruction of rotational events in cardiac fibrillation.
- Subjects :
- Animals
Biological Evolution
Computer Simulation
Disease Models, Animal
Humans
Multicenter Studies as Topic
Observational Studies as Topic
Rats
Reproducibility of Results
Sheep, Domestic
Stochastic Processes
Time Factors
Ventricular Fibrillation diagnosis
Action Potentials
Atrial Fibrillation physiopathology
Heart Conduction System physiopathology
Heart Rate
Models, Cardiovascular
Ventricular Fibrillation physiopathology
Subjects
Details
- Language :
- English
- ISSN :
- 1941-3084
- Volume :
- 12
- Issue :
- 12
- Database :
- MEDLINE
- Journal :
- Circulation. Arrhythmia and electrophysiology
- Publication Type :
- Academic Journal
- Accession number :
- 31813270
- Full Text :
- https://doi.org/10.1161/CIRCEP.119.007569