Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502810 | Journal of Mathematical Analysis and Applications | 2005 | 16 Pages |
Abstract
We explore the precision of neural timing in a model neural system with n identical input neurons whose firing time in response to stimulation is chosen from a density f. These input neurons stimulate a target cell which fires when it receives m hits within É msec. We prove that the density of the firing time of the target cell converges as Éâ0 to the input density f raised to the mth and normalized. We give conditions for convergence of the density in L1, pointwise, and uniformly as well as conditions for the convergence of the standard deviations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Colleen C. Mitchell,