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Open AccessArticle

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

1
Department of Mathematics, Diné College, Tsaile, AZ 86556, USA
2
Centro de Investigación e Innovación en Bioingeniería, Universitat Politècnica de València, 46022 Valencia, Spain
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(20), 4279; https://doi.org/10.3390/app9204279
Received: 12 July 2019 / Revised: 3 October 2019 / Accepted: 9 October 2019 / Published: 12 October 2019
(This article belongs to the Special Issue Signals in Health Care)
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 (p = 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 (p >> 0.05) which is consistent with the analytic result. View Full-Text
Keywords: electrocardiography; electrophysiology; biopotentials; measurement; wearable sensors; noninvasive; concentric ring electrodes; Laplacian; estimation; modeling electrocardiography; electrophysiology; biopotentials; measurement; wearable sensors; noninvasive; concentric ring electrodes; Laplacian; estimation; modeling
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MDPI and ACS Style

Makeyev, O.; Musngi, M.; Moore, L.; Ye-Lin, Y.; Prats-Boluda, G.; Garcia-Casado, J. Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data. Appl. Sci. 2019, 9, 4279.

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