Khramov R N, Krinskiĭ V I
Biofizika. 1977 May-Jun;22(3):512-7.
Pulse propagation in a model of excitable fibre is analyzed. Fibre membrane is described by a nonlinear system of 2 differential equations with small parameter (reduced system of the Hodgkin--Huxley type [1]). Both fast and slow ionic currents of excitable membrane are incorporated into the model. Explicit expressions for fast (stable pulse) and low (unstable pulse) velocities are obtained by using perturbation method. The growth of fast ionic current was shown to result in increase in fast and decrease of slow velocities while the growth of slow ionic current results in increase in slow velocity, fast velocity being almost constant.
分析了可兴奋纤维模型中的脉冲传播。纤维膜由具有小参数的2个微分方程的非线性系统描述(霍奇金 - 赫胥黎型的简化系统[1])。可兴奋膜的快速和慢速离子电流都纳入了该模型。通过微扰方法获得了快速(稳定脉冲)和慢速(不稳定脉冲)速度的显式表达式。结果表明,快速离子电流的增加会导致快速速度增加和慢速速度降低,而慢速离子电流的增加会导致慢速速度增加,快速速度几乎保持不变。