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Inhibition of repetitive activity by weak noise in the spatial Hodgkin-Huxley system
Henry Tuckwell and Jürgen Jost
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.