Non-Markovian spiking statistics of a neuron with delayed feedback in presence of refractoriness

DOI10.3934/MBE.2014.11.81zbMath1279.60059arXiv1210.3229OpenAlexW2325831307WikidataQ44356789 ScholiaQ44356789MaRDI QIDQ395711

Kseniia Kravchuk, Alexander K. Vidybida

Publication date: 30 January 2014

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

Full work available at URL: https://arxiv.org/abs/1210.3229

zbMATH Keywords

delayed feedbackISI probability distributionnon-Markovian statisticsnon-renewal statisticsrefractorinessreverberating neural networks

Mathematics Subject Classification ID

Stochastic programming (90C15) Neural biology (92C20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• On dependency properties of the ISIs generated by a two-compartmental neuronal model
• A Markov model for interspike interval distributions of auditory cortical neurons that do not show periodic firings
• Output stream of a binding neuron
• MARKOVIAN PROJECTION ONTO A DISPLACED DIFFUSION: GENERIC FORMULAS WITH APPLICATIONS

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