Skip to main content
Biophysical Journal logoLink to Biophysical Journal
. 1964 Jan;4(1 Pt 1):41–68. doi: 10.1016/s0006-3495(64)86768-0

Random Walk Models for the Spike Activity of a Single Neuron

George L Gerstein, Benoit Mandelbrot
PMCID: PMC1367440  PMID: 14104072

Abstract

Quantitative methods for the study of the statistical properties of spontaneously occurring spike trains from single neurons have recently been presented. Such measurements suggest a number of descriptive mathematical models. One of these, based on a random walk towards an absorbing barrier, can describe a wide range of neuronal activity in terms of two parameters. These parameters are readily associated with known physiological mechanisms.

Full text

PDF
43

Images in this article

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. COOMBS J. S., ECCLES J. C., FATT P. The electrical properties of the motoneurone membrane. J Physiol. 1955 Nov 28;130(2):291–325. doi: 10.1113/jphysiol.1955.sp005411. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. KUFFLER S. W., FITZHUGH R., BARLOW H. B. Maintained activity in the cat's retina in light and darkness. J Gen Physiol. 1957 May 20;40(5):683–702. doi: 10.1085/jgp.40.5.683. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Biophysical Journal are provided here courtesy of The Biophysical Society

RESOURCES