Dimitrova N A, Dimitrov G V
Central Laboratory of Bioinstrumentation and Automation, Bulgarian Academy of Sciences, Sofia.
Gen Physiol Biophys. 1992 Feb;11(1):69-83.
Effects of variation of the stimulus pulse shape on the excitation of a nonmyelinated nerve fibre were studied using a mathematical model based on the Hodgkin-Huxley equations. Efficiency of smoothly changing pulses was compared with that of rectangular pulses. For pulses shorter than the time to excitation, the rate of the stimulus rise did not determine the ability of a smoothly changing pulse to excite the fibre. For a given stimulus duration, the main factor was the pulse area or the charge delivered by the pulse. The strength-duration curve for smoothly changing pulses was a nonmonotonic function, in contrast to the curve for rectangular pulses. The dependence of latency on changes in the pulse area was non-linear. It would be nonmonotonic when the pulse area variation were due to the stimulus duration or the stimulus rise duration. More that one propagating intracellular action potential (IAP) could arise upon fibre activation by a long smoothly changing threshold stimulus. Upon activation of relatively short fibres the IAP could arise not at the site of the smoothly changing stimulus injection. The rectangular pulses of long duration were more efficient than the corresponding smoothly changing ones. Irrespective of the shape, the pulses whose duration at the foot is 1-2 ms, are more suitable for a prolonged threshold fibre activation.
使用基于霍奇金-赫胥黎方程的数学模型,研究了刺激脉冲形状变化对无髓神经纤维兴奋的影响。将平滑变化脉冲的效率与矩形脉冲的效率进行了比较。对于短于兴奋时间的脉冲,刺激上升速率并不决定平滑变化脉冲激发纤维的能力。对于给定的刺激持续时间,主要因素是脉冲面积或脉冲传递的电荷量。与矩形脉冲的曲线不同,平滑变化脉冲的强度-持续时间曲线是一个非单调函数。潜伏期对脉冲面积变化的依赖性是非线性的。当脉冲面积变化是由于刺激持续时间或刺激上升持续时间引起时,它将是非单调的。通过长时间平滑变化的阈值刺激激活纤维时,可能会出现多个传播的细胞内动作电位(IAP)。在激活相对较短的纤维时,IAP可能不会出现在平滑变化刺激注入的部位。长时间的矩形脉冲比相应的平滑变化脉冲更有效。无论形状如何,足部持续时间为1-2毫秒的脉冲更适合于长时间的阈值纤维激活。