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论文摘要

分数阶神经型脉冲振荡器

Fractional-Order Neural Pulse Oscillator

作者:陈庆利(四川大学计算机学院);蒲亦非(四川大学计算机学院);黄果(四川大学计算机学院);周激流(四川大学计算机学院)

Author:Chen Qing-Li(School of Computer,Sichuan Univ.,Chengdu,China);PU Yi-fei(School of Computer,Sichuan Univ.,Chengdu,China);HUANG Guo(School of Computer,Sichuan Univ.,Chengdu,China);ZHOU Ji-liu(School of Computer,Sichuan Univ.,Chengdu,China)

收稿日期:2010-01-20          年卷(期)页码:2011,43(1):123-128

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:分数阶微分,神经脉冲,振荡器,分数维

Key words:Fractional derivatives,Neural pulse,Oscillator,Fractal dimension

基金项目:国家自然科学基金(60972131)

中文摘要

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,本文在分数阶微分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,它可望为未来神经功能修复提供一种技术支撑。从而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。

英文摘要

In order to simulate the nerve impulse waveform characteristic of the creature,a Riemann-Liouville fractional-order neural pulse oscillator was put forward in this paper,and it was used to simulate biologic neural signal.The computer simulation showed that it was a fractal dimension oscillator and it’s parameters can be adjusted according to the actual biologic neural signal, it’s output was not square wave or not rectangular wave,it can simulated 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.

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