Woodbury J W, Crill W E
Biophys J. 1970 Nov;10(11):1076-83. doi: 10.1016/S0006-3495(70)86353-6.
An approximate differential equation is developed describing the potential in the gap (intercalated disc) between two closely abutting, coaxial cylindrical cardiac muscle cells. This permits approximate calculation of the degree of current spread from an active to an inactive cell. The equation has a closed solution in terms of the zero-order Bessel function I(0)(x). This result is different from one given by Woodbury and Crill (1961). The source of the original mistake is given and the magnitude of the error estimated. The new solution is compared with the exact, series solution to this problem given by Heppner and Plonsey (1970) in the preceding paper. It is shown analytically that our approximate solution differs negligibly from the series solution for the parameter values chosen. The closed solution not only considerably simplifies calculations but yields additional insights into the nature of the coupling resistances R and r used by Heppner and Plonsey in their detailed analysis of the cell-to-cell transmission process.
推导了一个近似微分方程，用于描述两个紧密邻接的同轴圆柱形心肌细胞之间间隙（闰盘）中的电位。这使得能够近似计算从活动细胞到非活动细胞的电流传播程度。该方程具有关于零阶贝塞尔函数I(0)(x)的封闭解。这个结果与伍德伯里和克里尔（1961年）给出的结果不同。给出了原始错误的来源并估计了误差的大小。将新解与赫普纳和普隆西（1970年）在前一篇论文中给出的该问题的精确级数解进行了比较。分析表明，对于所选择的参数值，我们的近似解与级数解的差异可以忽略不计。该封闭解不仅大大简化了计算，还对赫普纳和普隆西在其对细胞间传输过程的详细分析中使用的耦合电阻R和r的性质提供了更多见解。
