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Three-dimensional waves in excitable reaction-diffusion systems

https://doi.org/10.1007/bf00275497
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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-662-22492-2openalex-snapshot
The Geometry of Biological Time
inferredcites →https://doi.org/10.1007/bf00275496openalex-snapshot
The geometry and motion of reaction-diffusion waves on closed two-dimensional manifolds
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Singular filaments organize chemical waves in three dimensions
inferredcites →https://doi.org/10.1016/0167-2789(84)90279-3openalex-snapshot
Singular filaments organize chemical waves in three dimensions
inferredcites →https://doi.org/10.1016/0375-9474(67)90589-1openalex-snapshot
Tables of integrals, series and products
inferredcites →https://doi.org/10.1038/304611a0openalex-snapshot
Three-dimensional chemical waves in the Belousov–Zhabotinskii reaction
inferredcites →https://doi.org/10.1063/1.2811674openalex-snapshot
When Time Breaks Down: The Three-Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias
inferredcites →https://doi.org/10.1088/0305-4470/15/5/009openalex-snapshot
Pattern synthesis from singular solutions in the Debye limit: helical waves and twisted toroidal scroll structures
inferredcites →https://doi.org/10.1119/1.15756openalex-snapshot
Tables of Integrals, Series, and Products
inferredcites →https://doi.org/10.1137/0146062openalex-snapshot
A Geometrical Theory for Spiral Waves in Excitable Media
inferredcites →https://doi.org/10.1201/9781439864548openalex-snapshot
Asymptotics and Special Functions
inferredcites →https://doi.org/10.2307/2005590openalex-snapshot
Asymptotics and Special Functions
inferredcites →https://doi.org/10.2307/2153347openalex-snapshot
Table of Integrals, Series, and Products.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-1-4899-3683-7_20openalex-snapshot
Three-Dimensional Waves in Excitable Reaction-Diffusion Systems: the Eikonal Approximation
inferred← citeshttps://doi.org/10.1007/978-1-4899-3683-7_29openalex-snapshot
A Model of Excitation Wavefronts Spreading in the Anisotropic Cardiac Tissue
inferred← citeshttps://doi.org/10.1007/978-3-031-83217-8_6openalex-snapshot
Wave Propagation in Excitable Systems
inferred← citeshttps://doi.org/10.1007/bf00163143openalex-snapshot
Wavefront propagation in an activation model of the anisotropic cardiac tissue: asymptotic analysis and numerical simulations
inferred← citeshttps://doi.org/10.1007/bf02461489openalex-snapshot
One-way blocks in cardiac tissue: A mechanism for propagation failure in Purkinje fibres
inferred← citeshttps://doi.org/10.1016/0025-5564(90)90020-yopenalex-snapshot
Mathematical modeling of the excitation process in myocardial tissue: influence of fiber rotation on wavefront propagation and potential field
inferred← citeshttps://doi.org/10.1016/0025-5564(93)90001-qopenalex-snapshot
Spreading of excitation in 3-d models of the anisotropic cardiac tissue. I. validation of the eikonal model
inferred← citeshttps://doi.org/10.1016/0167-2789(88)90062-0openalex-snapshot
Singular perturbation theory of traveling waves in excitable media (a review)
inferred← citeshttps://doi.org/10.1016/0167-2789(88)90070-xopenalex-snapshot
A plausible mechanism for the motion of untwisted scroll rings in excitable media
inferred← citeshttps://doi.org/10.1016/0167-2789(89)90230-3openalex-snapshot
Higher-dimensional localized patterns in excitable media
inferred← citeshttps://doi.org/10.1016/0167-2789(90)90139-gopenalex-snapshot
Diversity of three-dimensional chemical waves
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90197-hopenalex-snapshot
The eikonal equation: stability of reaction-diffusion waves on a sphere
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00213-8openalex-snapshot
The eikonal approximation to excitable reaction-diffusion systems: travelling non-planar wave fronts on the plane
inferred← citeshttps://doi.org/10.1016/0960-0779(95)95763-hopenalex-snapshot
Reaction-diffusion waves in the vicinity of obstacles: The eikonal approach
inferred← citeshttps://doi.org/10.1016/0960-0779(95)95764-iopenalex-snapshot
One-way blocks in excitable media
inferred← citeshttps://doi.org/10.1016/j.cam.2004.12.027openalex-snapshot
Spiral waves on static and moving spherical domains
inferred← citeshttps://doi.org/10.1016/j.chaos.2022.112336openalex-snapshot
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart
inferred← citeshttps://doi.org/10.1016/j.cnsns.2004.08.003openalex-snapshot
Diffraction of reaction-diffusion waves: the conformal-mapped eikonal equation
inferred← citeshttps://doi.org/10.1098/rspa.1991.0040openalex-snapshot
A geometrical approach to wave-type solutions of excitable reaction-diffusion systems
inferred← citeshttps://doi.org/10.1098/rspa.1995.0035openalex-snapshot
The geometry and motion of sharp fronts within geochemical transport problems
inferred← citeshttps://doi.org/10.1098/rspa.1996.0147openalex-snapshot
Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction—diffusion systems
inferred← citeshttps://doi.org/10.1098/rspa.2002.0997openalex-snapshot
Knotted reaction—diffusion waves
inferred← citeshttps://doi.org/10.1137/1032001openalex-snapshot
Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
inferred← citeshttps://doi.org/10.1143/jpsj.63.1311openalex-snapshot
Curve Lengthening Equation and Its Solutions
inferred← citeshttps://doi.org/10.1143/jpsj.64.1501openalex-snapshot
Reaction-Diffusion System in a Curved Space and the KPZ Equation
inferred← citeshttps://doi.org/10.1143/jpsj.64.403openalex-snapshot
On the Level-Set Formulation of Geometrical Models
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