Durand D
Biophys J. 1984 Nov;46(5):645-53. doi: 10.1016/S0006-3495(84)84063-1.
The derivation of the equations for an electrical model of nerve cells is presented. The model consists of an equivalent cylinder, a lumped somatic impedance, and a variable shunt at the soma. This shunt was introduced to take into account the fast voltage decays observed following the injections of current pulses in some motoneurons and hippocampal granule cells that could not be explained by existing models. The shunt can be interpreted either by penetration damage with the electrode or by a lower membrane specific resistance at the soma than in the dendrites. A solution of the model equations is presented that allows the estimation of the electrotonic length L, the membrane time constant tau m, the dendritic dominance ratio rho, and the shunt parameter epsilon, based only on the measurement of the first two coefficients and time constants in the multiexponential voltage response to injected current pulses.
本文介绍了神经细胞电模型方程的推导。该模型由一个等效圆柱体、一个集总躯体阻抗和躯体处的可变分流组成。引入这个分流是为了考虑在一些运动神经元和海马颗粒细胞中注入电流脉冲后观察到的快速电压衰减，而现有模型无法解释这种现象。分流可以解释为电极造成的穿透损伤，或者是躯体处的膜比树突处具有更低的比电阻。给出了模型方程的一个解，该解仅基于对注入电流脉冲的多指数电压响应中的前两个系数和时间常数的测量，就能估计电紧张长度L、膜时间常数τm、树突优势比ρ和分流参数ε。
