

Preprint 77/2009
Inhibition of repetitive activity by weak noise in the spatial Hodgkin-Huxley system
Henry Tuckwell and Jürgen Jost
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Submission date: 09. Dec. 2009
Pages: 6
Bibtex
Keywords and phrases: Hodgkin-Huxley model, SPDE
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Abstract:
We consider the response of the Hodgkin-Huxley (HH) spatial system in the weak noise
regime near the bifurcation to repetitive spiking. The signal is
restricted to a small segment and noise occurs over a region which may overlap
or not the signal region. As in the point model,
weak noise can inhibit or terminate the spiking activity
with a minimum in spike count as noise level increases, but only if
signal and noise overlap in space.
If signal and noise are applied on disjoint intervals,
then weak noise has no effect on the spiking activity, no matter how large its region of application.