Renewal Theory as a Universal Quantitative Framework to Characterize Phase Singularity Regeneration in Mammalian Cardiac Fibrillation
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Renewal Theory as a Universal Quantitative Framework to Characterize Phase Singularity Regeneration in Mammalian Cardiac Fibrillation. / Dharmaprani, Dhani; Schopp, Madeline; Kuklik, Pawel; Chapman, Darius; Lahiri, Anandaroop; Dykes, Lukah; Xiong, Feng; Aguilar, Martin; Strauss, Benjamin; Mitchell, Lewis; Pope, Kenneth; Meyer, Christian; Willems, Stephan; Akar, Fadi G; Nattel, Stanley; McGavigan, Andrew D; Ganesan, Anand N.
In: CIRC-ARRHYTHMIA ELEC, Vol. 12, No. 12, 12.2019, p. e007569.Research output: SCORING: Contribution to journal › SCORING: Journal article › Research › peer-review
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TY - JOUR
T1 - Renewal Theory as a Universal Quantitative Framework to Characterize Phase Singularity Regeneration in Mammalian Cardiac Fibrillation
AU - Dharmaprani, Dhani
AU - Schopp, Madeline
AU - Kuklik, Pawel
AU - Chapman, Darius
AU - Lahiri, Anandaroop
AU - Dykes, Lukah
AU - Xiong, Feng
AU - Aguilar, Martin
AU - Strauss, Benjamin
AU - Mitchell, Lewis
AU - Pope, Kenneth
AU - Meyer, Christian
AU - Willems, Stephan
AU - Akar, Fadi G
AU - Nattel, Stanley
AU - McGavigan, Andrew D
AU - Ganesan, Anand N
PY - 2019/12
Y1 - 2019/12
N2 - 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.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.
AB - 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.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.
KW - Action Potentials
KW - Animals
KW - Atrial Fibrillation/physiopathology
KW - Biological Evolution
KW - Computer Simulation
KW - Disease Models, Animal
KW - Heart Conduction System/physiopathology
KW - Heart Rate
KW - Humans
KW - Models, Cardiovascular
KW - Multicenter Studies as Topic
KW - Observational Studies as Topic
KW - Rats
KW - Reproducibility of Results
KW - Sheep, Domestic
KW - Stochastic Processes
KW - Time Factors
KW - Ventricular Fibrillation/diagnosis
U2 - 10.1161/CIRCEP.119.007569
DO - 10.1161/CIRCEP.119.007569
M3 - SCORING: Journal article
C2 - 31813270
VL - 12
SP - e007569
JO - CIRC-ARRHYTHMIA ELEC
JF - CIRC-ARRHYTHMIA ELEC
SN - 1941-3149
IS - 12
ER -