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Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Cardiac Electrophysiology: From Cell to Bedside
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The Problem of Excitability
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The geometry and motion of reaction-diffusion waves on closed two-dimensional manifolds
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Three-dimensional waves in excitable reaction-diffusion systems
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On the formation of circulating patterns of excitation in anisotropic excitable media
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Understanding the patterns in the BZ reagent
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Kinematic approach to the description of autowave processes in active media
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Nerve conduction theory: Some mathematical consequences of Bernstein's model
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Constant velocity waves in oscillating chemical reactions
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A mathematical model for the vulnerable phase in myocardium
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Nonlinear dynamics in cardiac conduction
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Simulation of wave processes in excitable media
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Nonlinear waves in active media
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Oscillations and traveling waves in chemical systems
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Singular filaments organize chemical waves in three dimensions
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Singular filaments organize chemical waves in three dimensions II. Twisted waves
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Quasi-harmonic rotating waves in distributed active systems
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Singular filaments organize chemical waves in three dimensions
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Rotating spiral waves in a modified Fitz-Hugh-Nagumo model
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Singular filaments organize chemical waves in three dimensions
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Wavefront geometry in excitable media
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Organizing centers in a cellular excitable medium
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Dynamical simulations of twisted scroll rings in three-dimensional excitable media
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Spiral waves in the Belousov-Zhabotinskii reaction
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A computational study of twisted linked scroll waves in excitable media
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Spiral waves in a model of myocardium
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Two-dimensional spectrophotometry of spiral wave propagation in the Belousov-Zhabotinskii reaction
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Two regimes of the scroll ring drift in the three-dimensional active media
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Singular perturbation theory of traveling waves in excitable media (a review)
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The dynamics of three-dimensional scroll waves in excitable media
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Winding numbers for the supercritical sine circle map
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Dynamical stability of untwisted scroll rings in excitable media
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Spiral waves of cyclic amp in a model of slime mold aggregation
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Evolution of twist of an autowave vortex
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An integral invariant for scroll rings in a reaction-diffusion system
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Knotted scroll wave filaments in excitable media
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Stable three-dimensional action potential circulation in the Fitzhugh-Nagumo model
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A trial phase function method for a class of λ-ω reaction-diffusion systems: Reduction to a Schrödinger type problem in an eigen sub-domain
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Twisted scroll waves in active three-dimensional media
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Spatial and Temporal Organization in the Zhabotinsky Reaction
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Vortex re-entry in healthy myocardium
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Stably Rotating Patterns of Reaction and Diffusion
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Elementary Differential Geometry
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Impulses and Physiological States in Theoretical Models of Nerve Membrane
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Traveling Wave Solutions of a Nerve Conduction Equation
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Simulation analysis of excitation conduction in the heart: Propagation of excitation in different tissues
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Electrical instability in cardiac muscle: Phase singularities and rotors
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On-line epicardial mapping of intraoperative ventricular arrhythmias: Initial clinical experience
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Chemical vortex dynamics in the Belousov-Zhabotinskii reaction and in the two-variable oregonator model
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Regular and irregular spatial patterns in an immobilized-catalyst Belousov-Zhabotinskii reaction
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Three-dimensional scroll ring dynamics in the Belousov-Zhabotinskii reagent and in the two-variable Oregonator model
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Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System
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Chemical vortex dynamics in three-dimensional excitable media
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Simple finite-element model accounts for wide range of cardiac dysrhythmias.
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Critical size and curvature of wave formation in an excitable chemical medium
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What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
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Bifurcation analysis of a normal form for excitable media: Are stable dynamical alternans on a ring possible?
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Twisted vortex filaments in the three-dimensional complex Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1063/1.462025openalex-snapshot
Reactive dynamics in a multispecies lattice-gas automaton
inferred← citeshttps://doi.org/10.1063/5.0044396openalex-snapshot
Hyperscroll dynamics: Vortices in four-dimensional networks
inferred← citeshttps://doi.org/10.1073/pnas.112026199openalex-snapshot
Minimal principle for rotor filaments
inferred← citeshttps://doi.org/10.1080/10724117.1998.11975060openalex-snapshot
Bug Bands and Monkey Saddles
inferred← citeshttps://doi.org/10.1088/0031-9155/47/10/312openalex-snapshot
Dynamics and interaction of filaments in a computational model of re-entrant ventricular fibrillation
inferred← citeshttps://doi.org/10.1088/0253-6102/51/4/09openalex-snapshot
Evolution of Spiral Waves in Excitable Systems
inferred← citeshttps://doi.org/10.1088/0256-307x/24/6/052openalex-snapshot
Topological Constraints on Scroll and Spiral Waves in Excitable Media
inferred← citeshttps://doi.org/10.1088/0266-5611/29/1/015001openalex-snapshot
Large-scale parameter extraction in electrocardiology models through Born approximation
inferred← citeshttps://doi.org/10.1088/1361-6544/aafbb3openalex-snapshot
Dynamics of linked filaments in excitable media
inferred← citeshttps://doi.org/10.1088/1367-2630/ab096aopenalex-snapshot
A quantitative theory for phase-locking of meandering spiral waves in a rotating external field
inferred← citeshttps://doi.org/10.1088/1751-8121/aaa1baopenalex-snapshot
Rings on strings in excitable media
inferred← citeshttps://doi.org/10.1098/rspa.1992.0159openalex-snapshot
Helicity and the Călugăreanu invariant
inferred← citeshttps://doi.org/10.1098/rsta.1994.0070openalex-snapshot
Tension of organizing filaments of scroll waves
inferred← citeshttps://doi.org/10.1098/rsta.1994.0075openalex-snapshot
Dynamics of scroll waves in inhomogeneous excitable media
inferred← citeshttps://doi.org/10.1103/physreve.53.3933openalex-snapshot
Interface proliferation and the growth of labyrinths in a reaction-diffusion system
inferred← citeshttps://doi.org/10.1103/physreve.55.5657openalex-snapshot
Microscopic model for FitzHugh-Nagumo dynamics
inferred← citeshttps://doi.org/10.1103/physreve.65.051606openalex-snapshot
Growth pulsations in symmetric dendritic crystallization in thin polymer blend films
inferred← citeshttps://doi.org/10.1103/physreve.65.066107openalex-snapshot
Excitability transitions and wave dynamics under spatiotemporal structured noise
inferred← citeshttps://doi.org/10.1103/physreve.66.036214openalex-snapshot
Large-excitability asymptotics for scroll waves in three-dimensional excitable media
inferred← citeshttps://doi.org/10.1103/physreve.68.016218openalex-snapshot
Stability of knots in excitable media
inferred← citeshttps://doi.org/10.1103/physreve.69.036213openalex-snapshot
Rotating spiral waves with phase-randomized core in nonlocally coupled oscillators
inferred← citeshttps://doi.org/10.1103/physreve.70.056201openalex-snapshot
Expanding scroll rings and negative tension turbulence in a model of excitable media
inferred← citeshttps://doi.org/10.1103/physreve.70.067201openalex-snapshot
Suppression of scroll wave turbulence by noise
inferred← citeshttps://doi.org/10.1103/physreve.94.010204openalex-snapshot
Linked and knotted chimera filaments in oscillatory systems
inferred← citeshttps://doi.org/10.1103/physreve.99.012211openalex-snapshot
Stable and unstable vortex knots in excitable media
inferred← citeshttps://doi.org/10.1103/physrevlett.123.258102openalex-snapshot
Threaded Rings that Swim in Excitable Media
inferred← citeshttps://doi.org/10.1103/physrevlett.66.2539openalex-snapshot
Oscillations and waves in a reactive lattice-gas automaton
inferred← citeshttps://doi.org/10.1103/physrevlett.72.1120openalex-snapshot
Nonlocal contour dynamics model for chemical front motion
inferred← citeshttps://doi.org/10.1103/physrevlett.77.767openalex-snapshot
Links, Knots, and Knotted Labyrinths in Bistable Systems
inferred← citeshttps://doi.org/10.1103/physrevlett.78.2012openalex-snapshot
Motion of Scroll Wave Filaments in the Complex Ginzburg-Landau Equation
inferred← citeshttps://doi.org/10.1103/physrevlett.80.5671openalex-snapshot
Coiling and Supercoiling of Vortex Filaments in Oscillatory Media
inferred← citeshttps://doi.org/10.1103/physrevlett.84.2738openalex-snapshot
Topological Constraint on Scroll Wave Pinning
inferred← citeshttps://doi.org/10.1103/physrevlett.86.175openalex-snapshot
Selection of Twisted Scroll Waves in Three-Dimensional Excitable Media
inferred← citeshttps://doi.org/10.1103/physrevlett.88.028101openalex-snapshot
Scroll Waves in the Presence of Slowly Varying Anisotropy with Application to the Heart
inferred← citeshttps://doi.org/10.1109/cic.1992.269502openalex-snapshot
Reentry in a model of myocardium with fractal uncoupling
inferred← citeshttps://doi.org/10.1109/cic.1993.378461openalex-snapshot
Simulation of ECG using a heart model with reaction-diffusion action potentials
inferred← citeshttps://doi.org/10.1111/j.1540-8167.1990.tb01073.xopenalex-snapshot
The Electrical Thresholds of Ventricular Myocardium
inferred← citeshttps://doi.org/10.1111/j.1540-8167.1997.tb00835.xopenalex-snapshot
Nonsustained Reentry Following Successive Stimulation of Cardiac Tissue Through a Unipolar Electrode
inferred← citeshttps://doi.org/10.1111/j.1749-6632.1990.tb15089.xopenalex-snapshot
Vortex Action Potentials in Normal Ventricular Musclea
inferred← citeshttps://doi.org/10.1134/s0006350907010113openalex-snapshot
Dynamics of a transmural scroll wave in ground squirrel myocardium
inferred← citeshttps://doi.org/10.1134/s0006350909060116openalex-snapshot
Dynamics of a vortex with the U-shaped filament (ends “anchored”) in the heart of the ground squirrel
inferred← citeshttps://doi.org/10.1137/090780055openalex-snapshot
The Large Core Limit of Spiral Waves in Excitable Media: A Numerical Approach
inferred← citeshttps://doi.org/10.1137/1034001openalex-snapshot
The Dynamics of Scroll Waves in Excitable Media
inferred← citeshttps://doi.org/10.1139/p90-100openalex-snapshot
Helical organizing centers in excitable media
inferred← citeshttps://doi.org/10.1142/9789812796073_0013openalex-snapshot
KNOTS IN BISTABLE REACTING SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0218127498000917openalex-snapshot
Spiral Waves are Stable in Discrete Element Models of Two-Dimensional Homogeneous Excitable Media
inferred← citeshttps://doi.org/10.1142/s0218127498000929openalex-snapshot
Validation and Calibration of Models for Reaction–Diffusion Systems
inferred← citeshttps://doi.org/10.1142/s0218202504003489openalex-snapshot
A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
inferred← citeshttps://doi.org/10.1161/01.cir.91.9.2454openalex-snapshot
Nonstationary Vortexlike Reentrant Activity as a Mechanism of Polymorphic Ventricular Tachycardia in the Isolated Rabbit Heart
inferred← citeshttps://doi.org/10.17537/2018.13.187openalex-snapshot
Nonlinear Concave Spiral Autowaves in Active Media, Transferring Energy, Their Application in Biology and Medicine
inferred← citeshttps://doi.org/10.47749/t/unicamp.2005.366049openalex-snapshot
Dinamica e controle não lineares de um sistema neuronal ideal e nã-ideal
inferred← citeshttps://doi.org/10.48550/arxiv.patt-sol/9712007openalex-snapshot
Validation and Calibration of Models for Reaction-Diffusion Systems
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