分数阶神经型脉冲振荡器

Fractional-order Neural Pulse Oscillator

为了使仿生神经振荡器能比较正确地模仿实际生物神经冲动的波形特征,在分数阶微分R-L定义和三角波函数的基础上构造出分数阶神经振荡器,并用该振荡器仿真各种人体活动的生物神经信号。实验表明该神经振荡器是一种可根据实际生物神经特性调整参数的分数维神经振荡器,其输出波形为非方波或非矩形波;能很好地模拟声带外展肌-环杓后肌神经电脉冲信号、动作电位AP、神经元兴奋和神经元仰制等神经信号,可望为未来神经功能修复提供一种技术支撑。证明了生物神经冲动的内在本质规律不是整数维的,可能和分数维有关。

In order to simulate the nerve impulse waveform characteristic of the creature,a Riemann-Liouville fractional-order neural pulse oscillator was put forward,and used to simulate biologic neural signal.The computer simulation showed that it was a fractal dimension oscillator,it＇s parameters can be adjusted according to the actual biologic neural signal,and it＇s output was neither a square wave nor a rectangular wave.This oscillator can simulated the shape characteristic of the actual biology neural signal such as neural pulse signal of the posterior cricoarytenoid muscle,action potential and so on by and large,it can provide technical support for neuronal function restoration in the future.These simulations indicated that the essence of the biology neural pulse was fractal dimension,not integral dimension.