Dynamical Characteristics of a Hodgkin-Huxley neuron
Huijie Yang, Fangcui Zhao, Yizhong Zhuo, Xizhen Wu, Zhuxia Li
Abstract
By means of the concepts of factorial moment, return map and NM estimator, we analyze some responses of a HH neuron to various types of spike-train inputs. The corresponding fractal dimensions and values of NM estimators can describe the correlation characteristics quantitatively. It is found that all the intervals of successive output spikes may obey a power-law for some conditions. And in time scale the output series for a HH model for each type of inputs is correlated with typical correlation length and correlation strength. These power-law and correlation characteristics may be useful in the coding and decoding process of HH neurons. These concepts may distinguish different inputs quantitatively. PACS number(s): 87.18.Sn, 84.35.+i, 05.45.Tp
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