Dhani Dharmaprani, Kathryn Tiver, Sobhan Salari Shahrbabaki, Evan V Jenkins, Darius Chapman, Campbell Strong, Jing X Quah, Ivaylo Tonchev, Luke O'Loughlin, Lewis Mitchell, Matthew Tung, Waheed Ahmad, Nik Stoyanov, Martin Aguilar, Steven A Niederer, Caroline H Roney, Martyn P Nash, Richard H Clayton, Stanley Nattel, Anand N Ganesan
{"title":"Observable Atrial and Ventricular Fibrillation Episode Durations Are Conformant With a Power Law Based on System Size and Spatial Synchronization.","authors":"Dhani Dharmaprani, Kathryn Tiver, Sobhan Salari Shahrbabaki, Evan V Jenkins, Darius Chapman, Campbell Strong, Jing X Quah, Ivaylo Tonchev, Luke O'Loughlin, Lewis Mitchell, Matthew Tung, Waheed Ahmad, Nik Stoyanov, Martin Aguilar, Steven A Niederer, Caroline H Roney, Martyn P Nash, Richard H Clayton, Stanley Nattel, Anand N Ganesan","doi":"10.1161/CIRCEP.123.012684","DOIUrl":null,"url":null,"abstract":"<p><strong>Background: </strong>Atrial fibrillation (AF) and ventricular fibrillation (VF) episodes exhibit varying durations, with some spontaneously ending quickly while others persist. A quantitative framework to explain episode durations remains elusive. We hypothesized that observable self-terminating AF and VF episode lengths, whereby durations are known, would conform with a power law based on the ratio of system size and correlation length ([Formula: see text].</p><p><strong>Methods: </strong>Using data from computer simulations (2-dimensional sheet and 3-dimensional left-atrial), human ischemic VF recordings (256-electrode sock, n=12 patients), and human AF recordings (64-electrode basket-catheter, n=9 patients; 16-electrode high definition-grid catheter, n=42 patients), conformance with a power law was assessed using the Akaike information criterion, Bayesian information criterion, coefficient of determination (R<sup>2</sup>, significance=<i>P</i><0.05) and maximum likelihood estimation. We analyzed fibrillatory episode durations and [Formula: see text], computed by taking the ratio between system size ([Formula: see text], chamber/simulation size) and correlation length (xi, estimated from pairwise correlation coefficients over electrode/node distance).</p><p><strong>Results: </strong>In all computer models, the relationship between episode durations and [Formula: see text] was conformant with a power law (Aliev-Panfilov R<sup>2</sup>: 0.90, <i>P</i><0.001; Courtemanche R<sup>2</sup>: 0.91, <i>P</i><0.001; Luo-Rudy R<sup>2</sup>: 0.61, <i>P</i><0.001). Observable clinical AF/VF durations were also conformant with a power law relationship (VF R<sup>2</sup>: 0.86, <i>P</i><0.001; AF basket R<sup>2</sup>: 0.91, <i>P</i><0.001; AF grid R<sup>2</sup>: 0.92, <i>P</i><0.001). [Formula: see text] also differentiated between self-terminating and sustained episodes of AF and VF (<i>P</i><0.001; all systems), as well as paroxysmal versus persistent AF (<i>P</i><0.001). In comparison, other electrogram metrics showed no statistically significant differences (dominant frequency, Shannon Entropy, mean voltage, peak-peak voltage; <i>P</i>>0.05).</p><p><strong>Conclusions: </strong>Observable fibrillation episode durations are conformant with a power law based on system size and correlation length.</p>","PeriodicalId":10319,"journal":{"name":"Circulation. Arrhythmia and electrophysiology","volume":null,"pages":null},"PeriodicalIF":9.1000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11254206/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Circulation. Arrhythmia and electrophysiology","FirstCategoryId":"3","ListUrlMain":"https://doi.org/10.1161/CIRCEP.123.012684","RegionNum":1,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/6/28 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"CARDIAC & CARDIOVASCULAR SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
Background: Atrial fibrillation (AF) and ventricular fibrillation (VF) episodes exhibit varying durations, with some spontaneously ending quickly while others persist. A quantitative framework to explain episode durations remains elusive. We hypothesized that observable self-terminating AF and VF episode lengths, whereby durations are known, would conform with a power law based on the ratio of system size and correlation length ([Formula: see text].
Methods: Using data from computer simulations (2-dimensional sheet and 3-dimensional left-atrial), human ischemic VF recordings (256-electrode sock, n=12 patients), and human AF recordings (64-electrode basket-catheter, n=9 patients; 16-electrode high definition-grid catheter, n=42 patients), conformance with a power law was assessed using the Akaike information criterion, Bayesian information criterion, coefficient of determination (R2, significance=P<0.05) and maximum likelihood estimation. We analyzed fibrillatory episode durations and [Formula: see text], computed by taking the ratio between system size ([Formula: see text], chamber/simulation size) and correlation length (xi, estimated from pairwise correlation coefficients over electrode/node distance).
Results: In all computer models, the relationship between episode durations and [Formula: see text] was conformant with a power law (Aliev-Panfilov R2: 0.90, P<0.001; Courtemanche R2: 0.91, P<0.001; Luo-Rudy R2: 0.61, P<0.001). Observable clinical AF/VF durations were also conformant with a power law relationship (VF R2: 0.86, P<0.001; AF basket R2: 0.91, P<0.001; AF grid R2: 0.92, P<0.001). [Formula: see text] also differentiated between self-terminating and sustained episodes of AF and VF (P<0.001; all systems), as well as paroxysmal versus persistent AF (P<0.001). In comparison, other electrogram metrics showed no statistically significant differences (dominant frequency, Shannon Entropy, mean voltage, peak-peak voltage; P>0.05).
Conclusions: Observable fibrillation episode durations are conformant with a power law based on system size and correlation length.
期刊介绍:
Circulation: Arrhythmia and Electrophysiology is a journal dedicated to the study and application of clinical cardiac electrophysiology. It covers a wide range of topics including the diagnosis and treatment of cardiac arrhythmias, as well as research in this field. The journal accepts various types of studies, including observational research, clinical trials, epidemiological studies, and advancements in translational research.