Edlinger G, Wach P, Pfurtscheller G
Department of Medical Informatics, Ludwig-Boltzmann Institute of Medical Informatics and Neuroinformatics, Graz, Austria.
IEEE Trans Biomed Eng. 1998 Jun;45(6):736-45. doi: 10.1109/10.678608.
The analytic solution of the harmonic downward continuation of the scalp potential field in an N-shell heterogeneous, but isotropic, spherical volume conductor model has been derived. The objective of this paper was to investigate the realization of a so-called "high-resolution electroencephalogram (EEG)": by enhancing the poor spatial resolution of EEG recordings. To this end, the forward problem for a dipolar source arbitrarily located at the source point Q = Q(rs, phi s, theta s) has been determined in a compact matrix notation. It is possible to transfer the potential field given on the outer surface of a spherically shaped volume conductor to an arbitrary inner surface (e.g., to the cortical surface) under consideration of the electrical and geometrical properties of the model. For the application of the proposed method to real-world problems, the coefficients of the series expansion describing the cortical potential distribution are determined by minimizing the squared curvature of the scalp potential field integrated over the scalp surface. Simulation results for distributed sources show that the proposed method is superior to the surface Laplacian method for interelectrode distances below 2.5 cm.
已推导了N层非均匀但各向同性的球形容积导体模型中头皮电位场谐波向下延拓的解析解。本文的目的是研究所谓“高分辨率脑电图(EEG)”的实现:通过提高EEG记录较差的空间分辨率。为此,已用紧凑矩阵表示法确定了位于源点Q = Q(rs, phi s, theta s)的偶极源的正问题。考虑到模型的电学和几何特性,有可能将球形容积导体外表面上给定的电位场转移到任意内表面(例如,皮质表面)。为了将所提出的方法应用于实际问题,通过最小化在头皮表面上积分的头皮电位场的平方曲率来确定描述皮质电位分布的级数展开系数。分布式源的模拟结果表明,对于电极间距离小于2.5 cm的情况,所提出的方法优于表面拉普拉斯方法。