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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, Jahrgang 12, Nr. 12, 12.2019, S. e007569.

Publikationen: SCORING: Beitrag in Fachzeitschrift/Zeitung › SCORING: Zeitschriftenaufsatz › Forschung › Begutachtung

Harvard

Dharmaprani, D, Schopp, M, Kuklik, P, Chapman, D, Lahiri, A, Dykes, L, Xiong, F, Aguilar, M, Strauss, B, Mitchell, L, Pope, K, Meyer, C, Willems, S, Akar, FG, Nattel, S, McGavigan, AD & Ganesan, AN 2019, 'Renewal Theory as a Universal Quantitative Framework to Characterize Phase Singularity Regeneration in Mammalian Cardiac Fibrillation', CIRC-ARRHYTHMIA ELEC, Jg. 12, Nr. 12, S. e007569. https://doi.org/10.1161/CIRCEP.119.007569

APA

Dharmaprani, D., Schopp, M., Kuklik, P., Chapman, D., Lahiri, A., Dykes, L., Xiong, F., Aguilar, M., Strauss, B., Mitchell, L., Pope, K., Meyer, C., Willems, S., Akar, F. G., Nattel, S., McGavigan, A. D., & Ganesan, A. N. (2019). Renewal Theory as a Universal Quantitative Framework to Characterize Phase Singularity Regeneration in Mammalian Cardiac Fibrillation. CIRC-ARRHYTHMIA ELEC, 12(12), e007569. https://doi.org/10.1161/CIRCEP.119.007569

Vancouver

Dharmaprani D, Schopp M, Kuklik P, Chapman D, Lahiri A, Dykes L et al. Renewal Theory as a Universal Quantitative Framework to Characterize Phase Singularity Regeneration in Mammalian Cardiac Fibrillation. CIRC-ARRHYTHMIA ELEC. 2019 Dez;12(12):e007569. https://doi.org/10.1161/CIRCEP.119.007569

Bibtex

@article{6084ca6fe76a43c19d821e0147bae32c,
title = "Renewal Theory as a Universal Quantitative Framework to Characterize Phase Singularity Regeneration in Mammalian Cardiac Fibrillation",
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.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.",
keywords = "Action Potentials, Animals, Atrial Fibrillation/physiopathology, Biological Evolution, Computer Simulation, Disease Models, Animal, Heart Conduction System/physiopathology, Heart Rate, Humans, Models, Cardiovascular, Multicenter Studies as Topic, Observational Studies as Topic, Rats, Reproducibility of Results, Sheep, Domestic, Stochastic Processes, Time Factors, Ventricular Fibrillation/diagnosis",
author = "Dhani Dharmaprani and Madeline Schopp and Pawel Kuklik and Darius Chapman and Anandaroop Lahiri and Lukah Dykes and Feng Xiong and Martin Aguilar and Benjamin Strauss and Lewis Mitchell and Kenneth Pope and Christian Meyer and Stephan Willems and Akar, {Fadi G} and Stanley Nattel and McGavigan, {Andrew D} and Ganesan, {Anand N}",
year = "2019",
month = dec,
doi = "10.1161/CIRCEP.119.007569",
language = "English",
volume = "12",
pages = "e007569",
journal = "CIRC-ARRHYTHMIA ELEC",
issn = "1941-3149",
publisher = "Lippincott Williams and Wilkins",
number = "12",

}

RIS

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 -