Gauss-Markov processes in the presence of a reflecting boundary and applications in neuronal models

DOI10.1016/j.amc.2014.01.143zbMath1410.60079OpenAlexW2083655037WikidataQ63434419 ScholiaQ63434419MaRDI QIDQ1646179

Enrica Pirozzi, Luigia Caputo, Aniello Buonocore, Amelia G. Nobile

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.143

zbMATH Keywords

simulationOrnstein-Uhlenbeck processVolterra integral equationintegrate-and-fire modelfiring densities

Mathematics Subject Classification ID

Neural biology (92C20) Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (12)

Corrigendum to: ``Gauss-Markov processes in the presence of a reflecting boundary and applications in neuronal models ⋮ The entropy production paradox for fractional master equations ⋮ Generating random variates from PDF of Gauss-Markov processes with a reflecting boundary ⋮ A prediction method based on wavelet transform and multiple models fusion for chaotic time series ⋮ Closed-form solutions for the first-passage-time problem and neuronal modeling ⋮ On a time-inhomogeneous diffusion process with discontinuous drift ⋮ On the dynamics of axonal membrane: ion channel as the basic unit of a deterministic model ⋮ A fractional PDE for first passage time of time-changed Brownian motion and its numerical solution ⋮ Simulation of sample paths for Gauss-Markov processes in the presence of a reflecting boundary ⋮ First-passage times and related moments for continuous-time birth-death chains ⋮ Inference on the effect of non homogeneous inputs in Ornstein-Uhlenbeck neuronal modeling ⋮ On the construction of a special class of time-inhomogeneous diffusion processes

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