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

Oleksandr Makeyev,Javier Garcia-Casado,Gema Prats-Boluda,Mark Musngi,Larry Moore,Yiyao Ye-Lin

doi:10.3390/app9204279

Oleksandr Makeyev, Javier Garcia-Casado + Show 4 more

Open Access

https://doi.org/10.3390/app9204279

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Abstract

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.

Highlights

Surface bioelectric signals, such as an electrocardiogram (ECG) or electroencephalogram became an essential tool in clinical diagnosis
Differences of less than 5% between the modeling derived ratios of Relative and Maximum Errors of Laplacian estimation and respective analytic ratios of truncation term coefficients have been reported for combinations of linearly increasing inter-ring distances (LIIRD), constant inter-ring distances (CIRD), and linearly decreasing inter-ring distances tripolar CREs (TCREs) and quadripolar
The proposed comparison framework is implemented for the LIIRD and CIRD TCRE configurations

Summary

Introduction

Surface bioelectric signals, such as an electrocardiogram (ECG) or electroencephalogram became an essential tool in clinical diagnosis. When recorded with conventional disc electrodes surface bioelectric signals have an outstanding temporal resolution but poor spatial one because of the blurring effect. It is due to the configuration of conventional disc electrodes and different conductivities of the body volume conductor [1,2]. To overcome this drawback, surface Laplacian estimation was proposed. Laplacian estimation allows an improvement in picking up the bioelectric dipoles closest to the electrodes and rejection of distant bioelectric dipole sources when compared to bipolar signals from conventional disc electrodes [6]

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