Abstract
The effects of noise on a spike train propagating on a nerve fiber during the relative refractory period are studied by using a stochastic version of the Hodgkin-Huxley model. Fluctuations in spike speeds due to the noise cause negative correlation between adjacent interspike intervals, while the dispersion relation due to the refractory causes positive correlation. A kinematic description of spike propagation yields expressions for changes in the autocorrelation and power spectrum of the interspike intervals during propagation. The power spectrum of the interspike intervals of an initially regular spike train first grows in proportion to 1 - cos(?) and then becomes a white noise spectrum. Computer simulation shows that the form of the power spectrum is considerably changed on a small nerve fiber.
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