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arXiv · 1311.4206

Fluctuations and information filtering in coupled populations of spiking neurons with adaptation

Moritz Deger·Tilo Schwalger·Richard Naud·Wulfram Gerstner
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Abstract

Finite-sized populations of spiking elements are fundamental to brain function, but also used in many areas of physics. Here we present a theory of the dynamics of finite-sized populations of spiking units, based on a quasi-renewal description of neurons with adaptation. We derive an integral equation with colored noise that governs the stochastic dynamics of the population activity in response to time-dependent stimulation and calculate the spectral density in the asynchronous state. We show that systems of coupled populations with adaptation can generate a frequency band in which sensory information is preferentially encoded. The theory is applicable to fully as well as randomly connected networks, and to leaky integrate-and-fire as well as to generalized spiking neurons with adaptation on multiple time scales.

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Moritz Deger, Tilo Schwalger, Richard Naud, Wulfram Gerstner. 2013-11-17. Fluctuations and information filtering in coupled populations of spiking neurons with adaptation. https://doi.org/10.1103/physreve.90.062704

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