Tuckwell H C
School of Mathematical Sciences, Institute of Advanced Studies, Australian National University, Canberra, ACT.
Eur Biophys J. 1993;22(1):71-7. doi: 10.1007/BF00205814.
Exact cable theory is used to calculate voltage distributions along fully myelinated axons and those with various patterns of demyelination. The model employed uses an R-C circuit for the soma, an equivalent cable for the dendrites, a myelinated axon with n internodes and a cable representing telodendria. For the case of a voltage clamp at the soma, a system of 2n + 1 equations must be solved to obtain the potential distribution and this is done for arbitrary n. An explicit calculation is performed for one internode whereas computer-generated solutions are obtained for several internodes. The relative importance of the position of a single demyelinated internode is determined. An approximate expression is given for the critical internodal length necessary for action potential generation.
精确电缆理论用于计算沿完全髓鞘化轴突以及具有各种脱髓鞘模式的轴突的电压分布。所采用的模型为：胞体用一个R-C电路表示，树突用等效电缆表示，有n个节间的髓鞘化轴突以及代表终树突的电缆。对于胞体电压钳制的情况，必须求解一个由2n + 1个方程组成的系统以获得电位分布，并且针对任意n进行此操作。对一个节间进行了显式计算，而对多个节间则通过计算机生成解。确定了单个脱髓鞘节间位置的相对重要性。给出了产生动作电位所需的临界节间长度的近似表达式。
