Ramon Ceon, Freeman Walter J, Holmes Mark, Ishimaru A, Haueisen Jens, Schimpf Paul H, Rezvanian Elham
Department of Electrical Engineering, University of Washington, Seattle, WA 98195, USA.
Brain Topogr. 2009 Nov;22(3):191-6. doi: 10.1007/s10548-009-0104-7. Epub 2009 Jun 26.
Electrical dipoles oriented perpendicular to the cortical surface are the primary source of the scalp EEGs and MEGs. Thus, in particular, gyri and sulci structures on the cortical surface have a definite possibility to influence the EEGs and MEGs. This was examined by comparing the spatial power spectral density (PSD) of the upper portion of the human cortex in MRI slices to that of simulated scalp EEGs and MEGs. The electrical activity was modeled with 2,650 dipolar sources oriented normal to the local cortical surface. The resulting scalp potentials were calculated with a finite element model of the head constructed from 51 segmented sagittal MR images. The PSD was computed after taking the fast Fourier transform of scalp potentials. The PSD of the cortical contour in each slice was also computed. The PSD was then averaged over all the slices. This was done for sagittal and coronal view both. The PSD of EEG and MEG showed two broad peaks, one from 0.05 to 0.22 cycles/cm (wavelength 20-4.545 cm) and the other from 0.22 to 1.2 cycles/cm (wavelength 4.545-0.834 cm). The PSD of the cortex showed a broad peak from 0.08 to 0.32 cycles/cm (wavelength 12.5-3.125 cm) and other two peaks within the range of 0.32 to 0.9 cycles/cm (wavelength 3.125-1.11 cm). These peaks are definitely due to the gyri structures and associated larger patterns on the cortical surface. Smaller peaks in the range of 1-3 cycles/cm were also observed which are possibly due to sulci structures. These results suggest that the spatial information was present in the EEG and MEG at the spatial frequencies of gyri. This also implies that the practical Nyquist frequency for sampling scalp EEGs should be 3.0 cycles/cm and an optimal interelectrode spacing of about 3 mm is needed for extraction of cortical patterns from scalp EEGs in humans.
垂直于皮质表面排列的电偶极是头皮脑电图(EEG)和脑磁图(MEG)的主要来源。因此,皮质表面的脑回和脑沟结构尤其有可能影响脑电图和脑磁图。通过比较MRI切片中人类皮质上部的空间功率谱密度(PSD)与模拟头皮脑电图和脑磁图的空间功率谱密度对此进行了研究。电活动由2650个垂直于局部皮质表面的偶极源建模。用由51张矢状面MR图像分割构建的头部有限元模型计算产生的头皮电位。在对头皮电位进行快速傅里叶变换后计算功率谱密度。还计算了每个切片中皮质轮廓的功率谱密度。然后对所有切片的功率谱密度进行平均。矢状面和冠状面视图均如此。脑电图和脑磁图的功率谱密度显示出两个宽峰,一个在0.05至0.22周期/厘米(波长20 - 4.545厘米)之间,另一个在0.22至1.2周期/厘米(波长4.545 - 0.834厘米)之间。皮质的功率谱密度显示出一个在0.08至0.32周期/厘米(波长12.5 - 3.125厘米)之间的宽峰以及在0.32至0.9周期/厘米(波长3.125 - 1.11厘米)范围内的另外两个峰。这些峰肯定是由于皮质表面的脑回结构和相关的更大模式。还观察到1 - 3周期/厘米范围内的较小峰,这可能是由于脑沟结构。这些结果表明,在脑回的空间频率处,脑电图和脑磁图中存在空间信息。这也意味着采样头皮脑电图的实际奈奎斯特频率应为3.0周期/厘米,并且从人类头皮脑电图中提取皮质模式需要约3毫米的最佳电极间距。