Klee M
Biophys J. 1973 Aug;13(8):822-31. doi: 10.1016/S0006-3495(73)86029-1.
Two properties of the intracellular potentials and electric fields resulting from static extracellular stimulation are obtained for arbitrarily shaped cells. First, the values of intracellular potential are shown to be bounded by the maximum and minimum values of extracellular potential on the surface of the cell. Second, the volume average of the magnitude of intracellular electric field is shown to have an upper bound given by the ratio of the magnitude of the largest extracellular potential difference on the surface of the cell to a generalized length constant lambda = sigma(intra)V(cell)/(sigma(memb)A(cell)), where V(cell) and A(cell) are the volume and surface area of the cell, sigma(intra) is the intracellular conductivity (reciprocal ohms per centimeter), and sigma(memb) is the membrane conductivity (reciprocal ohms per square centimeter). The use of the upper bound on the volume average of the magnitude of intracellular electric field as an estimate for intracellular isopotentiality is discussed and the use of the generalized length constant for electrically describing arbitrary cells is illustrated for cylindrical- and spheroidal-shaped cells.
对于任意形状的细胞，可得出由静态细胞外刺激产生的细胞内电位和电场的两个特性。首先，细胞内电位的值被证明受细胞表面细胞外电位的最大值和最小值限制。其次，细胞内电场强度的体积平均值被证明有一个上限，该上限由细胞表面最大细胞外电位差的大小与一个广义长度常数λ的比值给出，其中λ = σ(intra)V(cell)/(σ(memb)A(cell))，这里V(cell)和A(cell)分别是细胞的体积和表面积，σ(intra)是细胞内电导率（每厘米倒数欧姆），σ(memb)是膜电导率（每平方厘米倒数欧姆）。讨论了将细胞内电场强度体积平均值的上限用作细胞内等电位估计的情况，并针对圆柱形和球形细胞说明了广义长度常数在电学描述任意细胞方面的应用。
