Theoretical connections between mathematical neuronal models corresponding to different expressions of noise

DOI10.1016/j.jtbi.2016.06.022zbMath1344.92034arXiv1602.03764OpenAlexW2265189501WikidataQ47707769 ScholiaQ47707769MaRDI QIDQ309126

Grégory Dumont, Carmen Oana Tarniceriu, Jacques Henry

Publication date: 7 September 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03764

zbMATH Keywords

Fokker-Planck equationage structured modelescape rateneural noisenoisy leaky integrate-and-fire model

Mathematics Subject Classification ID

Neural biology (92C20) Applications of branching processes (60J85) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (6)

Noisy threshold in neuronal models: connections with the noisy leaky integrate-and-fire 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 ⋮ Mapping input noise to escape noise in integrate-and-fire neurons: a level-crossing approach ⋮ A note on a neuron network model with diffusion ⋮ A theoretical connection between the Noisy Leaky integrate-and-fire and the escape rate models: The non-autonomous case

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