Response of Spiking Neurons to Correlated Inputs

Rubén Moreno, Jaime de la Rocha, Alfonso Renart, and Néstor Parga
Phys. Rev. Lett. 89, 288101 – Published 27 December 2002

Abstract

The effect of a temporally correlated afferent current on the firing rate of a leaky integrate-and-fire neuron is studied. This current is characterized in terms of rates, autocorrelations, and cross correlations, and correlation time scale τc of excitatory and inhibitory inputs. The output rate νout is calculated in the Fokker-Planck formalism in the limit of both small and large τc compared to the membrane time constant τ of the neuron. By simulations we check the analytical results, provide an interpolation valid for all τc, and study the neuron's response to rapid changes in the correlation magnitude.

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  • Received 3 July 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.288101

©2002 American Physical Society

Authors & Affiliations

Rubén Moreno, Jaime de la Rocha, Alfonso Renart*, and Néstor Parga

  • Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain

  • *Present address: Center for Complex Systems, Brandeis University, Waltham, MA 02454.
  • To whom correspondence should be addressed.

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Issue

Vol. 89, Iss. 28 — 31 December 2002

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