Clark J, Plonsey R
Biophys J. 1966 Jan;6(1):95-112. doi: 10.1016/S0006-3495(66)86642-0.
This paper is a mathematical evaluation of the core conductor model where its three dimensionality is taken into account. The problem considered is that of a single, active, unmyelinated nerve fiber situated in an extensive, homogeneous, conducting medium. Expressions for the various core conductor parameters have been derived in a mathematically rigorous manner according to the principles of electromagnetic theory. The purpose of employing mathematical rigor in this study is to bring to light the inherent assumptions of the one dimensional core conductor model, providing a method of evaluating the accuracy of this linear model. Based on the use of synthetic squid axon data, the conclusion of this study is that the linear core conductor model is a good approximation for internal but not external parameters.
本文是对考虑了三维特性的核心导体模型的数学评估。所考虑的问题是一根位于广阔、均匀导电介质中的单一、活跃、无髓神经纤维的问题。根据电磁理论原理，以数学上严格的方式推导出了各种核心导体参数的表达式。本研究采用数学严格性的目的是揭示一维核心导体模型的内在假设，提供一种评估该线性模型准确性的方法。基于对合成鱿鱼轴突数据的使用，本研究的结论是线性核心导体模型对于内部参数是一个很好的近似，但对于外部参数则不然。
