李成祥, 王淑慧, 吴浩, 张媛媛, 王恩照. 脉冲参数对激活动作电位强度阈值影响的仿真研究[J]. 高电压技术, 2021, 47(4): 1451-1460. DOI: 10.13336/j.1003-6520.hve.20200528018
引用本文: 李成祥, 王淑慧, 吴浩, 张媛媛, 王恩照. 脉冲参数对激活动作电位强度阈值影响的仿真研究[J]. 高电压技术, 2021, 47(4): 1451-1460. DOI: 10.13336/j.1003-6520.hve.20200528018
LI Chengxiang, WANG Shuhui, WU Hao, ZHANG Yuanyuan, WANG Enzhao. Simulation Study on the Effect of Pulse Parameters on Intensity Threshold for Action Potential Activation[J]. High Voltage Engineering, 2021, 47(4): 1451-1460. DOI: 10.13336/j.1003-6520.hve.20200528018
Citation: LI Chengxiang, WANG Shuhui, WU Hao, ZHANG Yuanyuan, WANG Enzhao. Simulation Study on the Effect of Pulse Parameters on Intensity Threshold for Action Potential Activation[J]. High Voltage Engineering, 2021, 47(4): 1451-1460. DOI: 10.13336/j.1003-6520.hve.20200528018

脉冲参数对激活动作电位强度阈值影响的仿真研究

Simulation Study on the Effect of Pulse Parameters on Intensity Threshold for Action Potential Activation

  • 摘要: 电刺激激活神经元动作电位的最小刺激强度(强度阈值)与所施加脉冲的参数有关。然而,目前学者大多关注于刺激脉宽对强度阈值的影响,而频率作为重要刺激参数,其对强度阈值的影响鲜有报道。为此,基于HH模型和电缆模型,建立神经元动作电位传输模型,在初步探索电脉冲刺激激活神经元动作电位阈值效应的基础上,系统探讨脉冲宽度、频率对该强度阈值的影响关系。研究结果表明:当刺激强度大于强度阈值时,动作电位激活并沿神经元轴向传导,轴向各处动作电位仅时延不同;当刺激强度小于该强度阈值时,无动作电位产生,轴向各处跨膜电位受外部刺激影响产生波动,且距离刺激点越远,波动越小。当刺激脉宽较宽(> 3 ms)、频率较低(< 100 Hz)时,电刺激激活动作电位的强度阈值几乎不随刺激参数的变化而变化;当脉宽较窄(< 3 ms)时,脉宽越宽,该强度阈值越低,且在对数坐标轴中随脉宽的增加线性下降;当频率较高(> 300 Hz)时,频率对强度阈值的影响与脉宽相似,强度阈值随频率的增加而显著下降,且在对数坐标轴中为线性降低。该研究可为后续电刺激疗法中脉冲发生器的设计和神经调控技术中刺激参数的选择提供理论支撑与指导。

     

    Abstract: The minimum intensity(threshold) for activating action potential by pulse electrical stimulation is related to stimulus parameters. However, researchers mainly focus on duration-threshold relationships. The effects of frequency, one of the important pulse parameters, on the intensity threshold of action potential are rarely available in the literature. Consequently, on the basis of the HH model and cable model, we constructed a neuron action potential transmission simulation model. By analyzing action potential activation under different impulse stimulus, we investigated the influences of pulse width and frequency on threshold of action potential activation. Results show that the action potential can be induced by the supraliminal stimulation, and action potential can conduct along the axial direction. Time delay for each axial position is different. The subthreshold stimulation can not activate the action potential. Transmembrane potential will fluctuate along the axial direction as a result of external stimulus, and the farther away from the stimulation point, the smaller the fluctuation. With a wide pulse width (> 3 ms) and low frequency (< 100 Hz), the threshold of action potential activation hardly change with the stimulus parameters. When the pulse width decreases (< 3 ms), the wider the pulse width, the lower the threshold. The threshold decreases linearly with the increase of pulse width in log-log scale. When the frequency increases (> 300 Hz), the effects of frequency on intensity threshold is similar to that of pulse width and the threshold decreases significantly with the increase of frequency, which is also linearly correlated in log-log scale. This study may provide theoretical references for the design of pulse generator in electrical stimulation therapy and the selection of stimulus parameters in neural regulation.

     

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