频率编码和调制原理在Hodgkin-Huxley系统上的应用  

Theory of Frequency Encoding and Modulation with Application to the Hodgkin-Huxley System

作　　者：唐伟伟[1] 檀结庆[1] 唐元华 

机构地区：[1]合肥工业大学数学学院,合肥230009 [2]Research Bioinformatics,Complete Genomics,Inc.

出　　处：《大学数学》2015年第1期14-20,共7页College Mathematics

摘　　要：频率编码指感觉神经元在受到刺激后产生膜电位的周期变化,变化的频率往往与刺激的强度成正比.本文在Hodgkin-Huxley系统的基础上,对其微分方程进行简化;对于频率编码,给出去耦时间尺度上的微分方程系统;研究在单一参数系统下,频率编码行为的变化规律.Sensory neurons respond to stimulatory signals with periodic firings of the membrane potential.The frequency of firing is often proportional to the intensity of stimulus,and one says that the stimulus is frequency encoded.Here based on the original Hodgkin-Huxley system,we simplify its differential equations;for frequency encoding,develop systems described by with decoupling time scales;study different modes of frequency encoding arise as a single parameter of the system is varied.

关 键 词：神经刺激 频率编码 Hodgkin-Huxley系统 奇异摄动系统 调频机制 

分 类 号：O193[理学—数学]