Smit Jacoba E, Hanekom Tania, Hanekom Johan J
Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Lynnwood Road, Pretoria 0002, South Africa.
Biol Cybern. 2009 Aug;101(2):115-30. doi: 10.1007/s00422-009-0324-7. Epub 2009 Jul 5.
The objective of this study was to determine if a recently developed human Ranvier node model, which is based on a modified version of the Hodgkin-Huxley model, could predict the excitability behaviour in human peripheral sensory nerve fibres with diameters ranging from 5.0 to 15.0 microm. The Ranvier node model was extended to include a persistent sodium current and was incorporated into a generalised single cable nerve fibre model. Parameter temperature dependence was included. All calculations were performed in Matlab. Sensory nerve fibre excitability behaviour characteristics predicted by the new nerve fibre model at different temperatures and fibre diameters compared well with measured data. Absolute refractory periods deviated from measured data, while relative refractory periods were similar to measured data. Conduction velocities showed both fibre diameter and temperature dependence and were underestimated in fibres thinner than 12.5 microm. Calculated strength-duration time constants ranged from 128.5 to 183.0 micros at 37 degrees C over the studied nerve fibre diameter range, with chronaxie times about 30% shorter than strength-duration time constants. Chronaxie times exhibited temperature dependence, with values overestimated by a factor 5 at temperatures lower than body temperature. Possible explanations include the deviated absolute refractory period trend and inclusion of a nodal strangulation relationship.
本研究的目的是确定一种最近开发的基于霍奇金-赫胥黎模型改进版本的人类郎飞结模型,是否能够预测直径在5.0至15.0微米范围内的人类外周感觉神经纤维的兴奋性表现。郎飞结模型被扩展以纳入持续性钠电流,并被整合到一个广义的单电缆神经纤维模型中。考虑了参数的温度依赖性。所有计算均在Matlab中进行。新神经纤维模型预测的不同温度和纤维直径下的感觉神经纤维兴奋性表现特征与实测数据吻合良好。绝对不应期与实测数据存在偏差,而相对不应期与实测数据相似。传导速度显示出纤维直径和温度依赖性,并且在直径小于12.5微米的纤维中被低估。在37摄氏度下,在所研究的神经纤维直径范围内,计算得到的强度-时间常数范围为128.5至183.0微秒,时值比强度-时间常数短约30%。时值表现出温度依赖性,在低于体温的温度下,其值被高估了5倍。可能的解释包括绝对不应期趋势的偏差以及节点绞窄关系的纳入。