On the return process with refractoriness for a non-homogeneous Ornstein-Uhlenbeck neuronal model

An Ornstein-Uhlenbeck diffusion process is considered as a model for the membrane potential activity of a single neuron. We assume that the neuron is subject to a sequence of inhibitory and excitatory post-synaptic potentials that occur with time-dependent rates. The resulting process is characteriz...

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Bibliographic Details
Main Authors: Virginia Giorno, Serena Spina
Format: Article
Language:English
Published: AIMS Press 2013-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.285
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