The inverse first passage time method for a two dimensional Ornstein Uhlenbeck process with neuronal application

DOI10.3934/mbe.2019412zbMath1471.60122arXiv1903.04927OpenAlexW2973071318WikidataQ91168134 ScholiaQ91168134MaRDI QIDQ2045589

Cristina Zucca, Alessia Civallero

Publication date: 13 August 2021

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

Full work available at URL: https://arxiv.org/abs/1903.04927

zbMATH Keywords

gammainverse Gaussianinverse first-passage-time problemtwo-compartment leaky integrate and fire modeltwo-dimensional Ornstein Uhlenbeck process

Mathematics Subject Classification ID

Neural biology (92C20) Diffusion processes (60J60)

Related Items (2)

The inverse first-passage time problem as hydrodynamic limit of a particle system ⋮ Special issue: Neural coding 2018

Cites Work

• On the classification of experimental data modeled via a stochastic leaky integrate and fire model through boundary values
• The gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model
• The inverse first-passage problem and optimal stopping
• The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time
• An inverse first-passage problem for one-dimensional diffusions with random starting point
• Existence and uniqueness of solutions to the inverse boundary crossing problem for diffusions
• On the inverse first-passage-time problem for a Wiener process
• Two-compartment stochastic model of a neuron
• On Cox processes and gamma renewal processes
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