ArticlePhysical review. E2019
Extinction dynamics of spiral defect chaos.
Article in Physical review. E, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
- Turing-driven spiral defect chaos with stationary spiral tips: universal criticality in a time-discrete oscillatory system.Scientific reports · 2026Article
- Single-cell chiral symmetry breaking under confinement.bioRxiv : the preprint server for biology · 2026Article
- Spatial Autocorrelation Dimension (Arrhythmia & electrophysiology review · 2026Review
- Article
- Spiral defect chaos with intermittency increases mean termination time.Physical review. E · 2025Article
- Particle model of creation and annihilation captures termination dynamics of spiral defect chaos.Chaos (Woodbury, N.Y.) · 2025Article
- Prediction of excitable wave dynamics using machine learning.Chaos, solitons, and fractals · 2025Article
- Annihilation dynamics during spiral defect chaos revealed by particle models.Chaos (Woodbury, N.Y.) · 2024Article
- Spatially Conserved Spiral Wave Activity During Human Atrial Fibrillation.Circulation. Arrhythmia and electrophysiology · 2024Article
- Article
- The physics of heart rhythm disorders.Physics reports · 2022Article
- Role of interatrial conduction in atrial fibrillation: Mechanistic insights from renewal theory-based fibrillatory dynamic analysis.Heart rhythm O2 · 2022Article
- Intermittent trapping of spiral waves in a cardiac model.Physical review. E · 2022Article
- The inspection paradox: An important consideration in the evaluation of rotor lifetimes in cardiac fibrillation.Frontiers in physiology · 2022Article
- Stochastic termination of spiral wave dynamics in cardiac tissue.Frontiers in network physiology · 2022Article
- Mapping atrial fibrillation : An overview of potential mechanisms underlying atrial fibrillation.Herz · 2021Review
- Reconceptualising Atrial Fibrillation Using Renewal Theory: A Novel Approach to the Assessment of Atrial Fibrillation Dynamics.Arrhythmia & electrophysiology review · 2021Review
- Three dimensional reconstruction to visualize atrial fibrillation activation patterns on curved atrial geometry.PloS one · 2021Article
Corrections and comments
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Authors and funding
2 authors.
Funding
Abstract
Spatially extended excitable systems can exhibit spiral defect chaos (SDC) during which spiral waves continuously form and disappear. To address how this dynamical state terminates using simulations can be computationally challenging, especially for large systems. To circumvent this limitation, we treat the number of spiral waves as a stochastic population with a corresponding birth-death equation and use techniques from statistical physics to determine the mean episode duration of SDC. Motivated by cardiac fibrillation, during which the heart's electrical activity becomes disorganized and shows fragmenting spiral waves, we use generic models of cardiac electrophysiology. We show that the duration can be computed in minimal computational time and that it depends exponentially on domain size. Therefore, the approach can result in efficient and accurate predictions of mean episode duration which may be extended to more complex geometries and models.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.