Skip to main content
SpringerLink
Log in

Model of discharge patterns of units in the cochlear nucleus in response to steady state and time-varying sounds

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

A model for the coding of sounds in the discharge pattern of single neurons in the auditory periphery is described. The model consists of a non-linear differential equation and a conventional diffusion neuron model. The same model describes 1) the unit interspike interval distribution in response to continuous stimulation, 2) the response to tone bursts, as well as 3) the responses to sinusoidally amplitude-modulated stimuli. The parameters of the model are determined quantitatively for each neuron. The responses of a certain unit can be described by 5 parameters.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Clay, J. R., Goel, N. S.: Diffusion models for firing of a neuron with varying threshold. J. theor. Biol.39, 633–644 (1973)

    Google Scholar 

  • Cox, D. R., Miller, H. D.: The theory of stochastic processes. New York: Wiley 1965

    Google Scholar 

  • Eggermont, J. J.: Analog modelling of cochlear adaption. Kybernetik14, 117–126 (1973)

    Google Scholar 

  • Fienberg, S. E.: A note on the diffusion approximation for single neuron firing patterns. Kybernetik7, 227–229 (1970)

    Google Scholar 

  • Fetz, E. E., Gerstein, G. L.: AnRC model for spontaneous activity of single neurons. Quart. Progr. Rep. No. 71, Res. Lab. Electronics, M.I.T. 249–257 (1964)

  • Geisler, C. D., Goldberg, J. M.: A stochastic model of the repetitive activity of neurons. Biophys. J.6, 53–69 (1966)

    Google Scholar 

  • Geisler, C. D.: A model of the peripheral auditory system responding to low-frequency tones. Biophys. J.8, 1–15 (1968)

    Google Scholar 

  • Gerstein, G. L.: Mathematical models for the all-or-none activity of some neurons. IRE Trans. on Information theory IT8, 137–143 (1962)

    Google Scholar 

  • Gerstein, G. L., Mandelbrot, B.: Random walk models for the spike activity of a single neuron. Biophys. J.4, 41–68 (1964)

    Google Scholar 

  • Gluss, B.: A model for neuron firing with exponential decay of potential resulting in diffusion equations for probability density. Bull. Math. Biophys.29, 233–243 (1967)

    Google Scholar 

  • Johannesma, P. I. M.: Diffusion models for the stochastic activity of neurons. In: Caianiello, E. R. (Ed.): Neural networks. Berlin-Heidelberg-New York: Springer 1969

    Google Scholar 

  • Kiang, N. Y.-S.: Discharge patterns of single fibers in the cat's auditory nerve. Research monograph No. 35. Cambridge, Mass.: M.I.T. Press 1965

    Google Scholar 

  • Lipetz, L. E.: The transfer functions of sensory intensity in the nervous system. Vision Res.9, 1205–1234 (1969)

    Google Scholar 

  • Lipetz, L. E.: The relation of physiological and psychological aspects of sensory intensity. In: Loewenstein, W. R. (Ed.): Handbook of sensory physiology. 1. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  • Loewenstein, W. R.: Excitation and inactivation in a receptor membrane. Ann. N. Y. Acad. Sci.94, 510–534 (1961)

    Google Scholar 

  • Molnar, C. E., Pfeiffer, R. R.: Interpretation of spontaneous spike discharge patterns of neurons in the cochlear nucleus. Proc. IEEE56, 993–1004 (1968)

    Google Scholar 

  • Møller, A. R.: Unit responses in cochlear nucleus of the rat to pure tones. Acta physiol. scand.75, 530–541 (1969)

    Google Scholar 

  • Møller, A. R.: Coding of amplitude and frequency modulated sounds in the cochlear nucleus of the rat. Acta physiol. scand.86, 223–238 (1972)

    Google Scholar 

  • Nilsson, H. G.: Estimation of parameters in a neuron model. In preparation (1975)

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

    Google Scholar 

  • Pfeiffer, R. R.: Classification of response patterns of spike discharges for units in the cochlear nucleus: Tone-burst stimulation. Exp. Brain. Res.1, 220–235 (1966)

    Google Scholar 

  • Roy, B. K., Smith, D. R.: Analysis of the exponential decay model of the neuron showing frequency threshold effects. Bull. Math. Biophys.31, 341–357 (1969)

    Google Scholar 

  • Schroeder, M. R., Hall, J. L.: Model for mechanical to neural transduction in the auditory receptor. J. acoust. Soc. Amer.55, 1055–1060 (1974)

    Google Scholar 

  • Stevens, C. F.: Synaptic physiology. Proc. IEEE56, 916–930 (1968)

    Google Scholar 

  • Weiss, T. F.: A model of the peripheral auditory system. Kybernetik3, 153–175 (1966)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Division of Physiological Acoustics, Department of Physiology II, Karolinska Institutet, Stockholm, Sweden

    Hans G. Nilsson

Authors
  1. Hans G. Nilsson
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nilsson, H.G. Model of discharge patterns of units in the cochlear nucleus in response to steady state and time-varying sounds. Biol. Cybernetics 20, 113–119 (1975). https://doi.org/10.1007/BF00327048

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00327048

Keywords

Search

Navigation