Division of Cognitive Neuroscience, New York State Psychiatric Institute, New York, NY, USA.
Clin Neurophysiol. 2012 Dec;123(12):2328-45. doi: 10.1016/j.clinph.2012.06.005. Epub 2012 Jul 15.
The topographic ambiguity and reference-dependency that has plagued EEG/ERP research throughout its history are largely attributable to volume conduction, which may be concisely described by a vector form of Ohm's Law. This biophysical relationship is common to popular algorithms that infer neuronal generators via inverse solutions. It may be further simplified as Poisson's source equation, which identifies underlying current generators from estimates of the second spatial derivative of the field potential (Laplacian transformation). Intracranial current source density (CSD) studies have dissected the "cortical dipole" into intracortical sources and sinks, corresponding to physiologically-meaningful patterns of neuronal activity at a sublaminar resolution, much of which is locally cancelled (i.e., closed field). By virtue of the macroscopic scale of the scalp-recorded EEG, a surface Laplacian reflects the radial projections of these underlying currents, representing a unique, unambiguous measure of neuronal activity at scalp. Although the surface Laplacian requires minimal assumptions compared to complex, model-sensitive inverses, the resulting waveform topographies faithfully summarize and simplify essential constraints that must be placed on putative generators of a scalp potential topography, even if they arise from deep or partially-closed fields. CSD methods thereby provide a global empirical and biophysical context for generator localization, spanning scales from intracortical to scalp recordings.
脑电/事件相关电位研究历史上一直受到拓扑模糊性和参照依赖性的困扰,这些问题主要归因于容积传导,它可以用欧姆定律的向量形式简洁地描述。这种生物物理关系是通过逆解推断神经元发生器的流行算法所共有的。它可以进一步简化为泊松源方程,该方程根据电场势(拉普拉斯变换)的二阶空间导数估计来识别潜在的电流发生器。颅内电流源密度(CSD)研究将“皮质偶极子”分解为皮质内源和汇,对应于亚层分辨率下具有生理意义的神经元活动模式,其中大部分在局部被抵消(即闭合场)。由于头皮记录的脑电图的宏观尺度,表面拉普拉斯反映了这些潜在电流的径向投影,代表头皮上神经元活动的独特、明确的测量。尽管与复杂的、敏感于模型的反演相比,表面拉普拉斯的假设较少,但所得的波形拓扑忠实地总结和简化了头皮电位拓扑的潜在发生器必须满足的基本约束条件,即使它们来自深部或部分闭合的场。CSD 方法因此为发生器定位提供了全局经验和生物物理背景,涵盖了从皮质内到头皮记录的尺度。