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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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> >> 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> >> 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 |
work_keys_str_mv |
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