Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data

While progress has been made in design optimization of concentric ring electrodes maximizing the accuracy of the surface Laplacian estimation, it was based exclusively on the negligible dimensions model of the electrode. Recent proof of concept of the new finite dimensions model that adds the radius...

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Main Authors: Oleksandr Makeyev, Mark Musngi, Larry Moore, Yiyao Ye-Lin, Gema Prats-Boluda, Javier Garcia-Casado
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/9/20/4279
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spelling doaj-073f084f52c84e5caecbfe1423c8971d2020-11-25T00:10:07ZengMDPI AGApplied Sciences2076-34172019-10-01920427910.3390/app9204279app9204279Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram DataOleksandr Makeyev0Mark Musngi1Larry Moore2Yiyao Ye-Lin3Gema Prats-Boluda4Javier Garcia-Casado5Department of Mathematics, Diné College, Tsaile, AZ 86556, USADepartment of Mathematics, Diné College, Tsaile, AZ 86556, USADepartment of Mathematics, Diné College, Tsaile, AZ 86556, USACentro de Investigación e Innovación en Bioingeniería, Universitat Politècnica de València, 46022 Valencia, SpainCentro de Investigación e Innovación en Bioingeniería, Universitat Politècnica de València, 46022 Valencia, SpainCentro de Investigación e Innovación en Bioingeniería, Universitat Politècnica de València, 46022 Valencia, SpainWhile progress has been made in design optimization of concentric ring electrodes maximizing the accuracy of the surface Laplacian estimation, it was based exclusively on the negligible dimensions model of the electrode. Recent proof of concept of the new finite dimensions model that adds the radius of the central disc and the widths of concentric rings to the previously included number of rings and inter-ring distances provides an opportunity for more comprehensive design optimization. In this study, the aforementioned proof of concept was developed into a framework allowing direct comparison of any two concentric ring electrodes of the same size and with the same number of rings. The proposed framework is illustrated on constant and linearly increasing inter-ring distances tripolar concentric ring electrode configurations and validated on electrocardiograms from 20 human volunteers. In particular, ratios of truncation term coefficients between the two electrode configurations were used to demonstrate the similarity between the negligible and the finite dimension models analytically (<i>p</i> = 0.077). Laplacian estimates based on the two models were calculated on electrocardiogram data for emulation of linearly increasing inter-ring distances tripolar concentric ring electrode. The difference between the estimates was not statistically significant (<i>p</i> &gt;&gt; 0.05) which is consistent with the analytic result.https://www.mdpi.com/2076-3417/9/20/4279electrocardiographyelectrophysiologybiopotentialsmeasurementwearable sensorsnoninvasiveconcentric ring electrodeslaplacianestimationmodeling
collection DOAJ
language English
format Article
sources DOAJ
author Oleksandr Makeyev
Mark Musngi
Larry Moore
Yiyao Ye-Lin
Gema Prats-Boluda
Javier Garcia-Casado
spellingShingle Oleksandr Makeyev
Mark Musngi
Larry Moore
Yiyao Ye-Lin
Gema Prats-Boluda
Javier Garcia-Casado
Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data
Applied Sciences
electrocardiography
electrophysiology
biopotentials
measurement
wearable sensors
noninvasive
concentric ring electrodes
laplacian
estimation
modeling
author_facet Oleksandr Makeyev
Mark Musngi
Larry Moore
Yiyao Ye-Lin
Gema Prats-Boluda
Javier Garcia-Casado
author_sort Oleksandr Makeyev
title Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data
title_short Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data
title_full Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data
title_fullStr Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data
title_full_unstemmed Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data
title_sort validating the comparison framework for the finite dimensions model of concentric ring electrodes using human electrocardiogram data
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2019-10-01
description While progress has been made in design optimization of concentric ring electrodes maximizing the accuracy of the surface Laplacian estimation, it was based exclusively on the negligible dimensions model of the electrode. Recent proof of concept of the new finite dimensions model that adds the radius of the central disc and the widths of concentric rings to the previously included number of rings and inter-ring distances provides an opportunity for more comprehensive design optimization. In this study, the aforementioned proof of concept was developed into a framework allowing direct comparison of any two concentric ring electrodes of the same size and with the same number of rings. The proposed framework is illustrated on constant and linearly increasing inter-ring distances tripolar concentric ring electrode configurations and validated on electrocardiograms from 20 human volunteers. In particular, ratios of truncation term coefficients between the two electrode configurations were used to demonstrate the similarity between the negligible and the finite dimension models analytically (<i>p</i> = 0.077). Laplacian estimates based on the two models were calculated on electrocardiogram data for emulation of linearly increasing inter-ring distances tripolar concentric ring electrode. The difference between the estimates was not statistically significant (<i>p</i> &gt;&gt; 0.05) which is consistent with the analytic result.
topic electrocardiography
electrophysiology
biopotentials
measurement
wearable sensors
noninvasive
concentric ring electrodes
laplacian
estimation
modeling
url https://www.mdpi.com/2076-3417/9/20/4279
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