Fast {\large\it Cl-}type inhibitory neuron with delayed feedback has non-markov output statistics

Abstract

For a class of fast {\it Cl-}type inhibitory spiking neuron models with delayed feedback fed with a Poisson stochastic process of excitatory impulses, it is proven that the stream of output interspike intervals cannot be presented as a Markov process of any order.

22 pages, 2 figures, 43 Refs. arXiv admin note: text overlap with arXiv:1503.03312

References in corpus (3)

• Adaptation Reduces Variability of the Neuronal Population Code
• A discrete time neural network model with spiking neurons II. Dynamics with noise
• Firing statistics of inhibitory neuron with delayed feedback. II. Non-Markovian behavior

Cited by in corpus (1)

• Relation between firing statistics of spiking neuron with delayed fast inhibitory feedback and without feedback