Cazenave-Loustalet Vincent, Qiao Qing-Li, Li Li-Ming, Ren Qiu-Shi
Institute for Laser Medicine and Bio-Photonics, Department of Biomedical Engineering, Shanghai Jiaotong University, Shanghai, China.
Neurosci Bull. 2007 Nov;23(6):348-56. doi: 10.1007/s12264-007-0052-8.
The optic nerve is a key component regarding research on visual prosthesis. Previous pharmacological and electrical studies has pinned down the main features of the mechanisms underlying the nerve impulse in the rat optic nerve, and this work proposed a mathematical model to simulate these phenomena.
The main active nodal channels: fast Na+, persistent Na+, slow K+ and a fast repolarizing K+ (A-current) were added on a double layer representation of the axon. A simplified representation of K+ accumulation and clearance in the vicinity of the Ranvier node was integrated in this model.
The model was able to generate the following features. In the presence of 4-aminopyridine (4-AP), spike duration increased and a depolarizing afterpotential (DAP) appeared. In the presence of 4-AP and tetraethylammonium (TEA), the DAP was followed by a hyperpolarizing afterpotential (AHP) and the amplitude of this AHP increased with the frequency of the stimulation. In normal conditions (no drugs): DAP and AHP were absent after a single action potential (AP) and a short train of AP; there was a relative refractoriness in amplitude lasting for 30 ms after an AP; an early AHP was revealed by a continuous depolarizing current; and there was a partial spike adaptation for a long current step stimulus.
The model successfully reproduced previous experiments results including long-lasting stimulation experiment, which is known to modify nerve physiological parameter values and is a key issue for visual prosthesis research.
视神经是视觉假体研究的关键组成部分。先前的药理学和电学研究已经确定了大鼠视神经神经冲动机制的主要特征,并且这项工作提出了一个数学模型来模拟这些现象。
在轴突的双层表示上添加主要的活性节点通道:快速钠通道、持续性钠通道、慢速钾通道和快速复极化钾通道(A电流)。该模型整合了郎飞结附近钾离子积累和清除的简化表示。
该模型能够产生以下特征。在存在4-氨基吡啶(4-AP)的情况下,动作电位持续时间增加且出现去极化后电位(DAP)。在存在4-AP和四乙铵(TEA)的情况下,DAP之后是超极化后电位(AHP),并且该AHP的幅度随刺激频率增加。在正常条件下(无药物):单个动作电位(AP)和短串AP后不存在DAP和AHP;AP后幅度存在持续30毫秒的相对不应期;连续去极化电流显示出早期AHP;并且对于长电流阶跃刺激存在部分动作电位适应性。
该模型成功再现了先前的实验结果,包括已知会改变神经生理参数值的长效刺激实验,这是视觉假体研究的关键问题。