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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Inhibition of repetitive activity by weak noise in the spatial Hodgkin-Huxley system
Henry Tuckwell and Jürgen JostAbstract
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.
- Received:
- 09.12.09
- Published:
- 10.12.09
- Keywords:
- Hodgkin-Huxley model, SPDE