Journal article
Precision of neural timing: The small ɛ limit
Journal of mathematical analysis and applications, Vol.309(2), pp.567-582
2005
DOI: 10.1016/j.jmaa.2004.10.070
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
ɛ msec. We prove that the density of the firing time of the target cell converges as
ɛ
→
0
to the input density
f raised to the
mth and normalized. We give conditions for convergence of the density in
L
1
, pointwise, and uniformly as well as conditions for the convergence of the standard deviations.
Details
- Title: Subtitle
- Precision of neural timing: The small ɛ limit
- Creators
- Colleen C Mitchell
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.309(2), pp.567-582
- DOI
- 10.1016/j.jmaa.2004.10.070
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2005
- Academic Unit
- Mathematics
- Record Identifier
- 9984241052502771
Metrics
49 Record Views