Institute for Biomagnetism and Biosignal Analysis, University of Münster, Münster, Germany.
J Neural Eng. 2014 Feb;11(1):016002. doi: 10.1088/1741-2560/11/1/016002. Epub 2013 Dec 5.
We investigate volume conduction effects in transcranial direct current stimulation (tDCS) and present a guideline for efficient and yet accurate volume conductor modeling in tDCS using our newly-developed finite element (FE) approach.
We developed a new, accurate and fast isoparametric FE approach for high-resolution geometry-adapted hexahedral meshes and tissue anisotropy. To attain a deeper insight into tDCS, we performed computer simulations, starting with a homogenized three-compartment head model and extending this step by step to a six-compartment anisotropic model.
We are able to demonstrate important tDCS effects. First, we find channeling effects of the skin, the skull spongiosa and the cerebrospinal fluid compartments. Second, current vectors tend to be oriented towards the closest higher conducting region. Third, anisotropic WM conductivity causes current flow in directions more parallel to the WM fiber tracts. Fourth, the highest cortical current magnitudes are not only found close to the stimulation sites. Fifth, the median brain current density decreases with increasing distance from the electrodes.
Our results allow us to formulate a guideline for volume conductor modeling in tDCS. We recommend to accurately model the major tissues between the stimulating electrodes and the target areas, while for efficient yet accurate modeling, an exact representation of other tissues is less important. Because for the low-frequency regime in electrophysiology the quasi-static approach is justified, our results should also be valid for at least low-frequency (e.g., below 100 Hz) transcranial alternating current stimulation.
我们研究了经颅直流电刺激(tDCS)中的容积传导效应,并提出了一种使用我们新开发的有限元(FE)方法在 tDCS 中进行高效且准确的容积导体建模的指南。
我们开发了一种新的、准确且快速的等参 FE 方法,用于高分辨率几何自适应六面体网格和组织各向异性。为了更深入地了解 tDCS,我们从均匀的三分区头部模型开始进行计算机模拟,并逐步扩展到六分区各向异性模型。
我们能够展示重要的 tDCS 效应。首先,我们发现皮肤、颅骨松质骨和脑脊液腔的通道效应。其次,电流向量倾向于朝向最近的高导电区域。第三,各向异性 WM 电导率导致电流沿更平行于 WM 纤维束的方向流动。第四,最高的皮质电流幅度不仅在靠近刺激部位的地方找到。第五,脑内电流密度的中位数随距离电极的增加而降低。
我们的结果使我们能够制定 tDCS 中容积导体建模的指南。我们建议在刺激电极和目标区域之间准确地模拟主要组织,而对于高效且准确的建模,其他组织的精确表示则不那么重要。由于在电生理学中低频范围是合理的准静态方法,因此我们的结果也应该至少适用于低频(例如,低于 100 Hz)经颅交流电刺激。