A theoretical connection between the Noisy Leaky integrate-and-fire and the escape rate models: The non-autonomous case

DOI10.1051/mmnp/2020017zbMath1473.35571arXiv1702.01391OpenAlexW3023358247MaRDI QIDQ5001326

Grégory Dumont, Carmen Oana Tarniceriu, Jacques Henry

Publication date: 19 July 2021

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01391

zbMATH Keywords

neural noisenoisy leaky integrate-and-fire modelescape rate model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) White noise theory (60H40) PDEs with randomness, stochastic partial differential equations (35R60) Biological rhythms and synchronization (92B25) Fokker-Planck equations (35Q84)

Related Items (4)

A multiple time renewal equation for neural assemblies with elapsed time model ⋮ Oscillations in a fully connected network of leaky integrate-and-fire neurons with a Poisson spiking mechanism ⋮ Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods ⋮ An elapsed time model for strongly coupled inhibitory and excitatory neural networks

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