The effects of various spatial distributions of weak noise on rhythmic spiking.

Journal of Computational Neuroscience
Henry C Tuckwell, Jürgen Jost

Abstract

We consider the response of the classical Hodgkin-Huxley (HH) spatial system in the weak to intermediate noise regime near the bifurcation to repetitive spiking. The deterministic component of the input (signal) is restricted to a small segment near the origin whereas noise, with parameter σ, occurs either only in the signal region or throughout the whole neuron. In both cases small noise inhibits the spiking and there is a minimum in the spike counts at σ ≈ 0.15. At the same value of σ, the variance of the spike counts undergoes a pronounced maximum. For spatially restricted noise, the spike count continues to increase beyond the minimum until σ=0.5, but in the case of spatially extended noise the spike count begins to decline around σ=0.35 to give a local maximum. For both spatial distributions of noise, the variance of the spike count is found to also have a local minimum at about σ=0.4. Examples are given of the probability distributions of the spike counts and the spatial distributions of spikes with varying noise level. The differences in behaviours of the spike counts as noise increases beyond 0.3 are attributable to noise-induced spiking outside the signal region, which has a larger probability of occurrence when the no...Continue Reading

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Jun 5, 2010·PLoS Computational Biology·Henry C Tuckwell, Jürgen Jost

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Citations

Sep 4, 2012·Cognitive Neurodynamics·Daqing Guo
Jan 20, 2016·Journal of Computational Neuroscience·Martin Sauer, Wilhelm Stannat
Jun 16, 2015·Frontiers in Computational Neuroscience·Guo-Sheng YiBin Deng
Mar 12, 2015·Network : Computation in Neural Systems·Mark D McDonnellLawrence M Ward
Jun 21, 2011·Nature Reviews. Neuroscience·Mark D McDonnell, Lawrence M Ward
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Muhammet UzuntarlaErnest Barreto
Feb 18, 2017·Physical Review. E·Muhammet UzuntarlaErnest Barreto
Jul 12, 2017·PLoS Computational Biology·Muhammet UzuntarlaJoaquin J Torres

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