Preprint 77/2009

Inhibition of repetitive activity by weak noise in the spatial Hodgkin-Huxley system

Henry Tuckwell and Jürgen Jost

Contact the author: Please use for correspondence this email.
Submission date: 09. Dec. 2009
Pages: 6
Bibtex
Keywords and phrases: Hodgkin-Huxley model, SPDE
Download full preprint: PDF (134 kB)

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.

07.06.2018, 02:11