Dynamical Characteristics of a Hodgkin-Huxley neuron

Details Dynamical Characteristics of a Hodgkin-Huxley neuron Dynamical Characteristics of a Hodgkin-Huxley neuron

2002-01-14

arxiv.org/abs/cond-mat/0201206v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 2 figures

Scientific paper

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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