Skip to main content
Log in

On the Markov properties of interspike times in the cat optic tract

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

In studying the Markov properties of retinal ganglion cell spike trains under various square-wave stimuli, the interspike times were classified into two groups, short and long. Those resulting 0–1 processes which were stationary were tested for Markov dependence in the usual way. Of the fourteen cases examined, four of those corresponding to more intense illumination turned out to have first order dependence, while one other had fourth order dependence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Billingsley, P.: Statistical inference for Markov chains. Chicago: University Press 1961

    Google Scholar 

  • Cox, D.R., Lewis, P.A.W.: Statistical analysis of series of events. London: Methuen 1966

    Google Scholar 

  • Fischer, B., May, H.U.: Invarianzen in der Katzenretina: Gesetzmäßige Beziehungen zwischen Empfindlichkeit, Größe und Lage receptiver Felder von Ganglienzellen. Exp. Brain Res.11, 448–464 (1970)

    Google Scholar 

  • Griffith, J.: Mathematical neurobiology. New York: Academic Press 1971

    Google Scholar 

  • Moore, G.P., Perkel, D.H., Segundo, J.P.: Statistical analysis and functional interpretation of neuronal spike data. Ann. Rev. Physiol.28, 493–522 (1966)

    Google Scholar 

  • Nakahama, H.: Relation of mean impulse frequency to statistical dependency between intervals in neuronal impulse sequences: J. Neurophysiol.24, 935–941 (1966)

    Google Scholar 

  • Nakahama, H., Ishii, N., Yamamoto, M.: Markov process of maintained impulse activity in central single neurons. Kybernetik11, 61–72 (1972)

    Google Scholar 

  • Nakahama, H., Ishii, N., Yamamoto, M., Fujii, H.: Statistical inference on Markov process of neuronal impulse sequences. Kybernetik15, 47–64 (1974)

    Google Scholar 

  • Perkel, D.H., Gerstein, G.L., Moore, G.P.: Neuronal spike trains and stochastic point processes I. Single spike trains. Biophys. J.7, 391–418 (1967)

    Google Scholar 

  • Smith, D.R., Smith, G.K.: A statistical analysis of the continual activity of single cortical neurons in the cat unanaesthetised isolated fore-brain. Biophys. J.5, 47–74 (1965)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research Report 53/SMR/5/HUM/1, October, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rudolfer, S.M., May, H.U. On the Markov properties of interspike times in the cat optic tract. Biol. Cybernetics 19, 197–199 (1975). https://doi.org/10.1007/BF02281969

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02281969

Keywords

Navigation