On the return process with refractoriness for a non-homogeneous Ornstein-Uhlenbeck neuronal model
From MaRDI portal
Publication:395731
DOI10.3934/mbe.2014.11.285zbMath1279.60104OpenAlexW2326555655WikidataQ51140477 ScholiaQ51140477MaRDI QIDQ395731
Publication date: 30 January 2014
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2014.11.285
Related Items
Stein's neuronal model with pooled renewal input ⋮ Successive spike times predicted by a stochastic neuronal model with a variable input signal ⋮ A note on the first passage time of diffusions with holding and jumping boundary ⋮ Inferring time non-homogeneous Ornstein Uhlenbeck type stochastic process ⋮ On short-term loan interest rate models: a first passage time approach ⋮ Continuous‐time multi‐type Ehrenfest model and related Ornstein–Uhlenbeck diffusion on a star graph ⋮ Detecting time-changes in \(PM_{10}\) during covid pandemic by means of an Ornstein Uhlenbeck type process ⋮ On the construction of a special class of time-inhomogeneous diffusion processes ⋮ Restricted Ornstein-Uhlenbeck process and applications in neuronal models with periodic input signals
Cites Work
- Unnamed Item
- Unnamed Item
- The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time
- The parameters of the stochastic leaky integrate-and-fire neuronal model
- On the evaluation of firing densities for periodically driven neuron models
- A new integral equation for the evaluation of first-passage-time probability densities
- 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
- The Ornstein-Uhlenbeck neuronal model with signal-dependent noise
This page was built for publication: On the return process with refractoriness for a non-homogeneous Ornstein-Uhlenbeck neuronal model