Franklin, Joel and Bair, Wyeth (1995) The Effect of a Refractory Period on the Power Spectrum of Neuronal Discharge. SIAM Journal on Applied Mathematics, 55 (4). pp. 1074-1093. ISSN 0036-1399. doi:10.1137/S0036139993258691. https://resolver.caltech.edu/CaltechAUTHORS:FRAsiamjam95
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Abstract
The interspike intervals in steady-state neuron firing are assumed to be independently and identically distributed random variables. In the simplest model discussed, each interval is assumed to be the sum of a random neuron refractory period and a statistically independent interval due to a stationary external process, whose statistics are assumed known. The power spectral density (hence the autocorrelation) of the composite neuron-firing renewal process is derived from the known spectrum of the external process and from the unknown spectrum of the neuron-refraction process. The results are applied to spike trains recorded in a previous study [2] of single neurons in the visual cortex of an awake monkey. Two models are demonstrated that may produce peaks in the power spectrum near 40 Hz.
| Item Type: | Article | |||||||||
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| Additional Information: | ©1995 Society for Industrial and Applied Mathematics Received by the editors November 18, 1993; accepted for publication (in revised form) May 14, 1994. A collaboration between Profs. Christof Koch and William T. Newsome for examining temporal structure in spike trains has motivated this research. We particularly thank Prof. Newsome and Kenneth H. Britten for kindly providing neuronal data for this analysis. W.B. thanks Prof. Koch for technical guidance and inspiration. We are grateful to Martin Stemmler for helpful comments and suggestions. The reseach of this author [W.B.] was supported by the L.A. Hanson Foundation through Prof. Christof Koch and by a grant from the Office of Naval Research to Christof Koch. | |||||||||
| Group: | Koch Laboratory (KLAB) | |||||||||
| Subject Keywords: | neuronal spike trains; refractory period; autocorrelation; power spectrum; 40 Hz oscillation | |||||||||
| Issue or Number: | 4 | |||||||||
| DOI: | 10.1137/S0036139993258691 | |||||||||
| Record Number: | CaltechAUTHORS:FRAsiamjam95 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:FRAsiamjam95 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 4868 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Archive Administrator | |||||||||
| Deposited On: | 11 Sep 2006 | |||||||||
| Last Modified: | 08 Nov 2021 20:20 |
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