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Updated: Jun 19, 2026

Real-time Electrophysiology: Using Closed-loop Protocols to Probe Neuronal Dynamics and Beyond
Published on: June 24, 2015
Fokker-Planck description of conductance-based integrate-and-fire neuronal networks
Gregor Kovacic1, Louis Tao, Aaditya V Rangan
1Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
Abstract:
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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