Pastushenko V F, Chizmadzhev Iu A, Markin V S
Biofizika. 1975 Sep-Oct;20(5):880-6.
The influence of sodium current activation on the value of nerve excitation conduction velocity is investigated on the basis of Hodgkin-Huxley model. The potassium activation and sodium inactivation are considered as slow processes which do not develop to an appreciable extent in the region of conduction velocity formation. The system of equations was derived and solved analytically after neglecting the dependency of sodium relaxation time on potential; the approximation of steady-state sodium activation was also used with the help of Hevyside function. The algebraic equation for conduction velocity was obtained; its solution has a simple analytical form in two limits of rapid and slow sodium current relaxation. The comparison with the experimental data has shown that at not very high temperatures the slow (compared to the potential dynamics) sodium current relaxation approximation is more appropriate. The dependency of impulse velocity on capacitance and conductance of the fiber was analyzed.
基于霍奇金 - 赫胥黎模型，研究了钠电流激活对神经兴奋传导速度值的影响。钾离子激活和钠离子失活被视为缓慢过程，在传导速度形成区域内不会发展到可观的程度。在忽略钠松弛时间对电位的依赖性后，推导并解析求解了方程组；还借助海维赛德函数使用了稳态钠激活近似。得到了传导速度的代数方程；其解在快速和缓慢钠电流松弛的两个极限情况下具有简单的解析形式。与实验数据的比较表明，在温度不是非常高时，（与电位动力学相比）缓慢的钠电流松弛近似更合适。分析了脉冲速度对纤维电容和电导的依赖性。
