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On the formation of circulating patterns of excitation in anisotropic excitable media

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory

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Intercalated discs as a cause for discontinuous propagation in cardiac muscle: A theoretical simulation

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A computer model of atrial fibrillation

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The conduction of the cardiac impulse

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The conduction of the cardiac impulse

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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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The dependence of impulse propagation speed on firing frequency, dispersion, for the Hodgkin-Huxley model

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Chemical Signals of Social Amoebae

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Sudden Cardiac Death: A Problem in Topology

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Simple finite-element model accounts for wide range of cardiac dysrhythmias.

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Directional differences of impulse spread in trabecular muscle from mammalian heart.

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Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells

inferredcites →https://doi.org/10.1152/ajpcell.1983.244.1.c3openalex-snapshot

Nonenzymatic separation of myocardial cell nuclei from whole heart tissue

inferredcites →https://doi.org/10.1152/ajpheart.1983.244.1.h3openalex-snapshot

The nature of electrical propagation in cardiac muscle

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Fibrillation Threshold of Premature Ventricular Responses

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Computer simulation of arrhythmias in a network of coupled excitable elements.

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The discontinuous nature of propagation in normal canine cardiac muscle. Evidence for recurrent discontinuities of intracellular resistance that affect the membrane currents.

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Effects of the discrete pattern of electrical coupling on propagation through an electrical syncytium.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Spatio-temporal Complexity in Biological Systems

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Visuelle Wahrnehmung und Augenbewegungen: Neurale Mechanismen der Sakkadenkontrolle

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Further Developments of the Sai Method

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How the anisotropy of the intracellular and extracellular conductivities influences stimulation of cardiac muscle

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Initiation and stability of reentry in two coupled excitable fibers

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Well-Posedness for Fractional Cauchy Problems Involving Discrete Convolution Operators

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A spatially discrete model for aggregating populations

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The Relative Role of Refractoriness and Source–Sink Relationship in Reentry Generation during Simulated Acute Ischemia

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Existence of traveling wavefront solutions for the discrete Nagumo equation

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A mathematical model for the vulnerable phase in myocardium

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Singular perturbation theory of traveling waves in excitable media (a review)

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Excitation wave propagation within narrow pathways: Geometric configurations facilitating unidirectional block and reentry

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Pattern formation in excitable media

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Propagation phenomena in systems of excitable cells—solution of an inverse problem

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A mathematical model for the initiation of ventricular tachycardia in myocardium

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Intercellular conduction velocity variability as the basis for re-entrant arrhythmias in the ischemic myocardium

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The collicular motor map as modelled by a two-dimensional mapped neural field

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Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity

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The induction of reentry in cardiac tissue. The missing link: How electric fields alter transmembrane potential

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Lattice Dynamical Systems Associated with a Fractional Laplacian

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Numerical Simulations of Fractionated Electrograms and Pathological Cardiac Action Potential

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Formation of shocks and breakup of wave patterns in anisotropic excitable media

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Frequency locking of meandering spiral waves in cardiac tissue

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On Turing instability in two diffusely coupled systems

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A Mechanism for Anisotropic Reentry in Electrically Active Tissue

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Reentry: Insights From Theoretical Simulations in a Fixed Pathway

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Frequency Dependent Decoupling of Parallel Excitable Fibres

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Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media

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Heart Muscle as a Reaction–Diffusion Medium: The Roles of Electric Potential Diffusion, Activation Front Curvature, and Anisotropy

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Ventricular Fibrillation: Mechanisms of Initiation and Maintenance

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Mechanisms of ventricular arrhythmias: a dynamical systems-based perspective

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