Onset of negative interspike interval correlations in adapting neurons

Details Onset of negative interspike interval correlations in adapting neurons Onset of negative interspike interval correlations in adapting neurons

2011-10-03

arxiv.org/abs/1110.0452v1

Phys. Rev. E 84, 041904 (2011)

Biology

Quantitative Biology

Neurons and Cognition

12 pages (10 pages in the journal version), 6 figures, published in Phys. Rev. E; http://link.aps.org/doi/10.1103/PhysRevE.84.

Scientific paper

10.1103/PhysRevE.84.041904

Negative serial correlations in single spike trains are an effective method to reduce the variability of spike counts. One of the factors contributing to the development of negative correlations between successive interspike intervals is the presence of adaptation currents. In this work, based on a hidden Markov model and a proper statistical description of conditional responses, we obtain analytically these correlations in an adequate dynamical neuron model resembling adaptation. We derive the serial correlation coefficients for arbitrary lags, under a small adaptation scenario. In this case, the behavior of correlations is universal and depends on the first-order statistical description of an exponentially driven time-inhomogeneous stochastic process.

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