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7 May 2003 Nonrenewal spike trains generated by stochastic neuron models
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Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003)
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States
Many of the stochastic neuron models employed in the neurobiological literature generate renewal point processes, i.e., successive intervals between spikes are statistically uncorrelated. Recently, however, much experimental evidence for positive and negative correlations in the interspike interval (ISI) sequence of real neurons has been accumulated. It has been shown that these correlations can have implications for neuronal functions. We study a leaky integrate-and-fire (LIF) model with a dynamical threshold or an adaptation current both of which lead to negative correlations. Conditions are identified where these models are equivalent. The ISI statistics, the serial correlation coefficient, and the power spectrum of the spike train, are numerically investigated for various parameter sets.
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Benjamin Lindner and Andre Longtin "Nonrenewal spike trains generated by stochastic neuron models", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003);

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