On the evaluation of firing densities for periodically driven neuron models

DOI10.1016/j.mbs.2008.02.003zbMath1143.92002OpenAlexW2169852748WikidataQ47830722 ScholiaQ47830722MaRDI QIDQ938705

Aniello Buonocore, Enrica Pirozzi, Luigia Caputo

Publication date: 27 August 2008

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2008.02.003

zbMATH Keywords

Fokker-Planck equationintegral equationsleaky integrate-and-fire modelfirst-passage-time

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Neural biology (92C20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (8)

On the return process with refractoriness for a non-homogeneous Ornstein-Uhlenbeck neuronal model ⋮ Closed-form solutions for the first-passage-time problem and neuronal modeling ⋮ The first passage time problem for Gauss-diffusion processes: algorithmic approaches and applications to LIF neuronal model ⋮ Fractional Ornstein-Uhlenbeck process with stochastic forcing, and its applications ⋮ Asymptotics of two-boundary first-exit-time densities for Gauss-Markov processes ⋮ Inference on the effect of non homogeneous inputs in Ornstein-Uhlenbeck neuronal modeling ⋮ Restricted Ornstein-Uhlenbeck process and applications in neuronal models with periodic input signals ⋮ Stochastic modeling of the firing activity of coupled neurons periodically driven

Cites Work

• Unnamed Item
• Unnamed Item
• A first-passage-time analysis of the periodically forced noisy leaky integrate-and-fire model
• A note on the moments of the first-passage time of the Ornstein-Uhlenbeck process with a reflecting boundary
• Neuron firing in driven nonlinear integrate-and-fire models
• Exponential trends of Ornstein–Uhlenbeck first-passage-time densities
• Exponential trends of first-passage-time densities for a class of diffusion processes with steady-state distribution
• A new integral equation for the evaluation of first-passage-time probability densities
• First-passage-time density and moments of the ornstein-uhlenbeck process
• Diffusion approximation and first passage time problem for a model neuron
• On the asymptotic behaviour of first-passage-time densities for one-dimensional diffusion processes and varying boundaries

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