Current injection into a two-dimensional anisotropic bidomain
TLDR
This work has shown that when the anisotropy ratios of the intracellular and extracellular spaces are not equal, the injection of current into the tissue induces a transmembrane potential that has a complicated spatial dependence, including adjacent regions of depolarized and hyperpolarized tissue.About:
This article is published in Biophysical Journal.The article was published on 1989-05-01 and is currently open access. It has received 367 citations till now. The article focuses on the topics: Bidomain model.read more
Citations
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The electrophysiological mechanism of ventricular arrhythmias in the long QT syndrome. Tridimensional mapping of activation and recovery patterns.
TL;DR: High-resolution tridimensional isochronal mapping of both activation and repolarization patterns in puppies exposed to AP-A that developed LQTS and polymorphic ventricular tachyarrhythmias (VTs) shows that the initial beat of polymorphic VT consistently arose as focal activity from a subend cardiac site, whereas subsequent beats were due to successive subendocardial focal activity, reentrant excitation, or a combination of both.
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Virtual electrodes in cardiac tissue: a common mechanism for anodal and cathodal stimulation
TL;DR: Epifluorescence imaging of the transmembrane potential during and after stimulation of both refractory and excitable tissue shows distinctive regions of simultaneous depolarization and hyperpolarization during stimulation that act as virtual cathodes and anodes that confirm bidomain model predictions that the onset of a stimulus induces propagation from the virtual cathode.
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Wave-front curvature as a cause of slow conduction and block in isolated cardiac muscle.
Candido Cabo,Arkady M. Pertsov,William T. Baxter,Jorge M. Davidenko,Richard A. Gray,José Jalife +5 more
TL;DR: The overall results demonstrate that the curvature of the wave front plays an important role in propagation in two-dimensional cardiac muscle and that changes in curvature may cause slow conduction or block.
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Solvers for the cardiac bidomain equations.
TL;DR: An overview of the bidomain equations and the methods by which they have been solved is given, of particular note are recent developments in multigrid methods, which have proven to be the most efficient.
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Computational techniques for solving the bidomain equations in three dimensions
TL;DR: It was possible to speed up solution of the bidomain equations by an order of magnitude with a slight decrease in accuracy, and direct methods were faster than iterative methods by at least 50% when a good estimate of the extracellular potential was required.
References
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The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
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The Four-Electrode Resistivity Technique as Applied to Cardiac Muscle
Robert Plonsey,Roger C. Barr +1 more
TL;DR: Cardiac tissue consists of two conducting regions, the intracellular and the interstitial, which are separated by a plasma membrane, and therefore constitutes a bidomain, as distinct from a single (monodomain) conducting region.
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Propagation of excitation in idealized anisotropic two-dimensional tissue.
Roger C. Barr,Robert Plonsey +1 more
TL;DR: In this article, a simulation of propagation for anisotropic two-dimensional cardiac tissue was performed, where the tissue structure was assumed to be that of a Hodgin-Huxley membrane separating inside and outside a 2D media, obeying Ohm's law in each case.
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Electric potential in three-dimensional electrically syncytial tissues
TL;DR: The problem of calculating the potential induced in an electrical syncytium by a point source of current is studied and an asymptotic expansion of the potential is developed.