Skip to main content
Log in

A mathematical model of the Pacinian corpuscle

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

This article describes a mathematical model of the Pacinian corpuscle based on the analysis of the available experimental data and on previous theoretical research. The model includes the main anatomofunctional constituents of the corpuscle: the capsula and the mechano-to-neural transduction; its structure accounts for the formation of the receptor potential and of the spikes on the nerve terminal. Comparison of the theoretical predictions with the experimental results, in response to different types of stimuli provides a substantial validation of the model and an explanation for the basic aspects of the transduction, in particular for: a) the receptor potential time course for isolated stimuli; b) the frequency response, in terms of receptor potential ;c) the frequency threshold curve for the spikes; d) the firing rate, I.S.I. and P.S.T. histograms and the synchronization coefficient, in response to sustained sinusoidal inputs. Possible lines for future experimental research are suggested from the model predictions.

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

  • Akoev, G.N., Chelyshev, Yu.A., Elman S.I. Effect of acetylcoline and catecholamines on excitability of Pacinian corpuscles. In: Somatosensory and visceral receptor mechanisms. Iggo, A., Ilyinsky, O.B. (eds.), pp. 187–193. Amsterdam: Elsevier 1976

    Google Scholar 

  • Bolanowski, S.J., Jr.: Intensity and frequency characteristics of Pacinian corpuscles. Special Report S-20, Institute for Sensory Research, Syracuse University, Syracuse (N.Y.), April 1981

    Google Scholar 

  • Deutsch, S.: A model of sensory receptor transducer. T.-I.-T.J. Life Sci.1, 29–40 (1971)

    Google Scholar 

  • Diamond, J., Gray, J.A.B., Inman, D.R.: The relation between receptor potentials and the concentration of sodium ions. J. Physiol.142, 382–394 (1958)

    Google Scholar 

  • Grandori, F., Pedotti, A.: Theoretical analysis of mechano-to-neural transduction in Pacinian corpuscles. IEEE Trans. Biomed. Engr.27, 559–565 (1980)

    Google Scholar 

  • Gray, J.A.B.: Initiation of impulses at receptors. In: Handbook of physiology, Sect. I, Neurophysiology. Amer. Physiol., Washington, D.C., pp. 123–145 (1959)

    Google Scholar 

  • Gray, J.A.B., Mathews, P.B.C.: A comparison of the adaptation of the Pacinian corpuscle with accomodation of its own axon. J. Physiol.114, 454–464 (1951)

    Google Scholar 

  • Gray, J.A.B., Sato, M.: Properties of the receptor potential in Pacinian corpuscles. J. Physiol.122, 610–636 (1953)

    Google Scholar 

  • Greenwood, J.A., Durand, D.: The distribution of length and components of the sum ofn random unit vectors. Ann. Math. Stat.26, 233–246 (1955)

    Google Scholar 

  • Grumbel, E.J., Greenwood, J.A., Durand, D.: The circular normal distribution: theory and tables. J. Am. Stat. Ass.48, 131–152 (1955)

    Google Scholar 

  • Hubbard, S.J.: A study of rapid mechanical events in a mechanoreceptor. J. Physiol.141, 198–218 (1958)

    Google Scholar 

  • Hunt, C.C., Takeuchi, A.: Response of the nerve terminal of the Pacinian corpuscle. J. Physiol.160, 1–21 (1962)

    Google Scholar 

  • Hyinsky, O.B.: Processes of excitation and inhibition in single mechanoreceptors: Pacinian corpuscles. Nature208, 351–353 (1965)

    Google Scholar 

  • Hyinsky, O.B., Volkova, N.K., Cherepnov, V.L.: Structure and function of Pacinian corpuscle. Sechenov Physiol. J. USSR54, 295–302 (in Russian) Translated in Neurosci. Transl.6, 637–643 (1968–1969)

    Google Scholar 

  • Hyinsky, O.B., Volkova, N.K., Cherepnov, V.L., Kryolv, B.V.: Morphofunctional properties of Pacinian corpuscles. In: Somatosensory and visceral receptor mechanisms. Iggo, A., Ilynsky, O.B. (eds.), pp. 173–186. Amsterdam: Elsevier 1976

    Google Scholar 

  • Johnson, D.H.: The relationship of post-time and interval histograms to the timing characteristic of spike trains. Biophys. J.22, 413–430 (1978)

    Google Scholar 

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

    Google Scholar 

  • Loewenstein, W.R.: Mechano-electric transduction in the Pacinian corpuscle. Initiation of sensory impulses in mechanoreceptors. In: Handbook of sensory physiology, Vol. I. Loewenstein, W.R. (ed.), pp. 269–290. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  • Loewenstein, W.R., Altamirano-Orrego, R.: Enhancement of activity in a Pacinian corpuscle by simpathomimetic agents. Nature178, 1292–1293 (1956)

    Google Scholar 

  • Loewenstein, W.R., Altamirano-Orrego, R.: The refractory state of the generated and propagated potentials in a Pacinian corpuscle. J. Gen. Physiol.41, 805–824 (1958)

    Google Scholar 

  • Loewenstein, W.R., Mendelson, M.: Components of receptor adaptation in a Pacinian corpuscle. J. Physiol.177, 377–397 (1965)

    Google Scholar 

  • Loewenstein, W.R., Rathkamp, R.: Localization of generator structures of electric activity in a Pacinian corpuscle. Science127, 341 (1958a)

    Google Scholar 

  • Loewenstein, W.R., Rathkamp, R.: The sites for mechano-electric conversion in a Pacinian corpuscle. J. Gen. Physiol.41, 1245–1256 (1958b)

    Google Scholar 

  • Loewenstein, W.R., Skalak, R.: Mechanical transmission in a Pacinian corpuscle: an analysis and a theory. J. Physiol.182, 346–378 (1966)

    Google Scholar 

  • Loewenstein, W.R., Terzuolo, C.A., Washizw, Y.: Separation of transducer and impulse-generating processes in sensory receptors. Science142, 1180–1181 (1963)

    Google Scholar 

  • Mendelson, M., Loewenstein, W.R.: Mechanisms of receptor adaptation. Science144, 554–555 (1964)

    Google Scholar 

  • Nishi, K. Modification of the mechanical threshold of the Pacinian corpuscle after perfusion with solutions of varying cation content. Jpn. J. Physiol.18, 216–231 (1968)

    Google Scholar 

  • Nishi, K., Sato, M.: Blocking of the impulse and depression of the receptor potential by tetrodotoxin in non-myelinated nerve terminals in Pacinian corpuscles. J. Physiol.184, 376–386 (1966)

    Google Scholar 

  • Nishi, K., Sato, M.: Depolarizing and hyperpolarizing receptor potentials in the non-myelinated nerve terminal in Pacinian corpuscles. J. Physiol.199, 383–396 (1968)

    Google Scholar 

  • Ozeki, M., Sato, M.: Initiation of impulses at the non-myelinated nerve terminal in Pacinian corpuscles. J. Physiol.170, 167–185 (1964)

    Google Scholar 

  • Pease, D.C., Quilliam, T.A.: Electronmicroscopy of the Pacinian corpuscle. J. Biophys. Biochem. Cytol.3, 331–342 (1957)

    Google Scholar 

  • Quilliam, T.A., Sato, M.: The distribution of myelin on nerve fibers from Pacinian corpuscles. J Physiol.129, 167–176 (1955)

    Google Scholar 

  • Sato, M.: Response of Pacinian corpuscle to sinusoidal vibration. J. Physiol.159, 391–409 (1961)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grandori, F., Pedotti, A. A mathematical model of the Pacinian corpuscle. Biol. Cybern. 46, 7–16 (1982). https://doi.org/10.1007/BF00335347

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00335347

Keywords

Navigation