Crago Patrick E, Makowski Nathaniel S
Department of Biomedical Engineering, Case Western Reserve University, Cleveland, OH 44106, USA. Cleveland Functional Electrical Stimulation (FES) Center, Cleveland, OH 44106 USA.
J Neural Eng. 2014 Oct;11(5):056016. doi: 10.1088/1741-2560/11/5/056016. Epub 2014 Aug 27.
Stimulation of peripheral nerves is often superimposed on ongoing motor and sensory activity in the same axons, without a quantitative model of the net action potential train at the axon endpoint.
We develop a model of action potential patterns elicited by superimposing constant frequency axonal stimulation on the action potentials arriving from a physiologically activated neural source. The model includes interactions due to collision block, resetting of the neural impulse generator, and the refractory period of the axon at the point of stimulation.
Both the mean endpoint firing rate and the probability distribution of the action potential firing periods depend strongly on the relative firing rates of the two sources and the intersite conduction time between them. When the stimulus rate exceeds the neural rate, neural action potentials do not reach the endpoint and the rate of endpoint action potentials is the same as the stimulus rate, regardless of the intersite conduction time. However, when the stimulus rate is less than the neural rate, and the intersite conduction time is short, the two rates partially sum. Increases in stimulus rate produce non-monotonic increases in endpoint rate and continuously increasing block of neurally generated action potentials. Rate summation is reduced and more neural action potentials are blocked as the intersite conduction time increases. At long intersite conduction times, the endpoint rate simplifies to being the maximum of either the neural or the stimulus rate.
This study highlights the potential of increasing the endpoint action potential rate and preserving neural information transmission by low rate stimulation with short intersite conduction times. Intersite conduction times can be decreased with proximal stimulation sites for muscles and distal stimulation sites for sensory endings. The model provides a basis for optimizing experiments and designing neuroprosthetic interventions involving motor or sensory stimulation.
外周神经刺激常常叠加在同一轴突正在进行的运动和感觉活动之上,而在轴突端点处却没有关于净动作电位序列的定量模型。
我们构建了一个动作电位模式模型,该模型通过将恒定频率的轴突刺激叠加在来自生理激活神经源的动作电位上而引发。该模型包括由于碰撞阻滞、神经冲动发生器的重置以及刺激点处轴突的不应期所产生的相互作用。
动作电位发放周期的平均端点发放率和概率分布都强烈依赖于两个源的相对发放率以及它们之间的位点间传导时间。当刺激频率超过神经频率时,神经动作电位无法到达端点,且端点动作电位的频率与刺激频率相同,与位点间传导时间无关。然而,当刺激频率小于神经频率且位点间传导时间较短时,两种频率会部分相加。刺激频率的增加会使端点频率非单调增加,并持续增加对神经产生的动作电位的阻滞。随着位点间传导时间增加,频率相加作用减弱,更多的神经动作电位被阻滞。在位点间传导时间较长时,端点频率简化为神经频率或刺激频率中的最大值。
本研究强调了通过短位点间传导时间的低频率刺激来提高端点动作电位频率并保留神经信息传递的潜力。对于肌肉,可通过近端刺激位点来减少位点间传导时间;对于感觉末梢,可通过远端刺激位点来减少位点间传导时间。该模型为优化实验以及设计涉及运动或感觉刺激的神经假体干预措施提供了基础。