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Journal ArticleDOI

A Comparison of Finite Element and Integral Equation Formulations for the Calculation of Electrocardiographic Potentials-II

TLDR
A comparison of the major methodologies utilized in computer simulations of electrocardiographic potential calculations suggests that the use of a basic finite element formulation improves the accuracy over that obtainable with integral equations, and the improvement in accuracy is particularly notable for inverse estimation.
Abstract
This paper is a comparison of the major methodologies utilized in computer simulations of electrocardiographic potential calculations. Two integral equation methods (Green's theorem and the equivalent single layer) and finite element methods are compared for forward and inverse solutions. The results suggest that the differences in accuracy between the two integral equation formulations are small. However, the use of a basic finite element formulation improves the accuracy over that obtainable with integral equations, and the improvement in accuracy is particularly notable for inverse estimation.

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Citations
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Journal ArticleDOI

On the theory of the electrocardiogram

TL;DR: The theoretical results form the basis of a computer model of the electrocardiogram that relates skin potentials to the spatial and temporal distribution of action potentials in the heart.
Journal ArticleDOI

The potential gradient field created by epicardial defibrillation electrodes in dogs.

TL;DR: There is a markedly uneven distribution of potential gradients for epicardial defibrillation electrodes with most of the voltage drop occurring near the electrodes, the potential gradient field is significant because it determines where shocks fail to halt fibrillation, and determination of the possible gradient field should lead to the development of improved electrode locations fordefibrillation.
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Recent progress in inverse problems in electrocardiology

TL;DR: It seems more important to find solutions to practical inverse problems, which will move the field toward wider acceptance and credibility, than to studies using analytically tractable models, the authors feel.
Journal ArticleDOI

Method to reduce blur distortion from EEG's using a realistic head model

TL;DR: Simulations indicate that deblurring is numerically stable, and a comparison of deblurred data with a direct cortical recording from a neurosurgery patient suggests that the procedure is valid and merits further development.
Journal ArticleDOI

High resolution EEG: a new model-dependent spatial deblurring method using a realistically-shaped MR-constructed subject's head model.

TL;DR: It was shown that the new MDSD method improved markedly the spatial resolution of the simulated surface potentials and scalp-recorded event-related potentials, and could be satisfactorily used for high resolution EEG studies.
References
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Journal ArticleDOI

Singular value decomposition and least squares solutions

TL;DR: The decomposition of A is called the singular value decomposition (SVD) and the diagonal elements of ∑ are the non-negative square roots of the eigenvalues of A T A; they are called singular values.
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Relating Epicardial to Body Surface Potential Distributions by Means of Transfer Coefficients Based on Geometry Measurements

TL;DR: A method for finding transfer coefficients that relate the epicardial and body surface potential distributions to each other is provided, based on knowing the geometric location of each electrode, and on having enough electrodes to establish the geometric shape and the potential distribution of closed epicardials and body surfaces.
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The Solid Angle of a Plane Triangle

TL;DR: An analytical expression is presented for the solid angle subtended by a plane triangle at some arbitrary point in space, and the time required for numerical computation is cut down to one third.
Journal ArticleDOI

The application of electromagnetic theory to electrocardiology. II. Numerical solution of the integral equations.

TL;DR: A rigorous derivation of the integro-differential equations for the potential is presented, containing, for the first time, the effects of the time dependence of the source and the dielectric properties of the medium.
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