Onset of negative interspike interval correlations in adapting neurons

Eugenio Urdapilleta
Phys. Rev. E 84, 041904 – Published 3 October 2011

Abstract

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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  • Received 7 February 2011

DOI:https://doi.org/10.1103/PhysRevE.84.041904

©2011 American Physical Society

Authors & Affiliations

Eugenio Urdapilleta*

  • División de Física Estadística e Interdisciplinaria & Instituto Balseiro, Centro Atómico Bariloche, Avenida E. Bustillo Km 9.500, S.C. de Bariloche (8400), Río Negro, Argentina

  • *urdapile@ib.cnea.gov.ar

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Vol. 84, Iss. 4 — October 2011

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