Weak noise approximation for the Kolmogorov forward equation for a leaky integrate-and-fire neuron subject to stochastic stimulation

Autor: Oleg A. Goryunov, Vladimir V. Klinshov
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100834- (2024)
Druh dokumentu: article
ISSN: 2666-8181
DOI: 10.1016/j.padiff.2024.100834
Popis: We develop a weak noise approximation for the Kolmogorov forward equation governing the dynamics of a leaky integrate-and-fire neuron subject to white noise. Although being very simple, our approximation provides accurate results as far the magnitude of noise-induced fluctuations Δ remains much smaller than the distance A between the mean potential (center of mass) and the excitation threshold. The error for the firing rate is 3 for the stationary stimuli and if A/Δ>5 for time-varying stimuli.
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