Steady dynamics of coupled conductance-based, integrate-and-fire neuronal networks in the limit of small fluctuations is studied via the equilibrium states of a Fokker-Planck equation. An asymptotic approximation for the membrane potential probability density function is derived and the corresponding gain curves are found. Validity conditions are discussed for the Fokker-Planck description and verified via direct numerical simulations.

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This work was partly supported by the National Science Foundation through grants IGMS-0308943 and DMS-0506287.

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