Comprehensive optimization of the tripolar concentric ring electrode with respect to the accuracy of Laplacian estimation based on the finite dimensions model of the electrode
Comprehensive optimization of the tripolar concentric ring electrode with respect to the accuracy of Laplacian estimation based on the finite dimensions model of the electrode
复制标题
基于电极有限维模型的三极同心环电极拉普拉斯估计精度综合优化
DOI：
10.3390/ecsa-7-08167
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
O. Makeyev
中科院分区：
文献类型：
--
作者：
O. Makeyev
在这项研究中进行的优化是基于同心环电极的有限尺寸模型，而不是在过去广泛使用的可忽略的尺寸模型。这使得优化问题全面，因为所有的电极参数，包括，第一次，中心盘的半径和同心环的各个宽度，同时优化。所使用的优化标准是最大化表面拉普拉斯估计的准确性，因为估计每个电极处的拉普拉斯的能力构成同心环电极的主要生物医学意义。尽管在三极（两个同心环）电极上说明了所获得的结果和定义最佳电极配置的导出原理，但它们也被四极（三环）和五极（四环）电极证实，并且可能继续适用于任何更高数量的同心环。对于三极同心环电极，将最佳配置与先前提出的配置进行比较，在相同尺寸的配置中线性增加环间距离和恒定环间距离，并且基于电极的相同有限尺寸模型。所获得的结果表明，以前提出的配置对应于几乎两倍和三倍以上的拉普拉斯估计误差的增加，分别相比，在本研究中提出的最佳配置。
Optimization performed in this study is based on the finite dimensions model of the concentric ring electrode as opposed to the negligible dimensions model widely used in the past. This makes the optimization problem comprehensive since all of the electrode parameters, including, for the first time, the radius of the central disc and individual widths of concentric rings, are optimized simultaneously. The optimization criterion used is maximizing the accuracy of the surface Laplacian estimation since the ability to estimate the Laplacian at each electrode constitutes the primary biomedical significance of concentric ring electrodes. Even though the obtained results and derived principles defining optimal electrode configurations are illustrated on tripolar (two concentric rings) electrodes, they were also confirmed for quadripolar (three rings) and pentapolar (four rings) electrodes and are likely to continue to hold for any higher number of concentric rings. For tripolar concentric ring electrodes, the optimal configuration was compared to previously proposed, linearly increasing inter-ring distances and constant inter-ring distances in configurations of the same size and based on the same finite dimensions model of the electrode. The obtained results suggest that previously proposed configurations correspond to almost two-fold and more than three-fold increases in Laplacian estimation error, respectively, compared to the optimal configuration proposed in this study.
影响因子：
2.7
作者：
Makeyev, Oleksandr;Musngi, Mark;Garcia-Casado, Javier
通讯作者：
Garcia-Casado, Javier
影响因子：
1.9
作者：
Liu, Xiang;Makeyev, Oleksandr;Besio, Walter
通讯作者：
Besio, Walter