We compared the behavior of the Hodgkin}Huxley (HH) model subjected to two input regimes: "rstly, discrete pulses from a Poisson process, and then to a di!usion approximation, constructed to share statistical properties with the discrete pulse input. The results show that under a wide range of physiologically plausible input conditions the di!usion process is equivalent to the pulse process, in terms of output interspike interval distribution. In this respect, the HH model di!ers from the integrate and "re model, which has been widely used to address a variety of questions in computational neuroscience.
Abstract. We examine the effects of changing the coefficient of variation (CV) of the inter-stimulus interval on the CV of the output interspike interval (ISI), using constant magnitude, supra-threshold pointprocess stimuli of the membrane potential variable in the FitzHughNagumo model. The coefficient of variation of the input is changed within the context of a displaced exponential distribution. We find that for some values of mean inter-stimulus interval, CV of ISI has an inverse relationship with input coefficient of variation, whereas for other mean stimulation rates, CV of ISI increases with input coefficient of variation. Over a wide range of input regularity CV of ISI is approximately constant, and is less than 0.4.
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