Skip to main content
Log in

Nervöse Wechselwirkung in der pupillomotorischen Bahn des Menschen

II. Ein mathematisches Modell zur quantitativen Beschreibung der Beziehungen zwischen den Reaktionen auf monoculare und binoculare Lichtreize

  • Published:
Kybernetik Aims and scope Submit manuscript

Summary

Comparison of the human pupillary responses to monocular and simultaneous binocular stimuli indicates that the signals evoked in both eyes by binocular stimulation first inhibit each other and then combine by addition. In this paper several possible inhibitory mechanisms are considered and a functional model is proposed which involves a shunting type non-recurrent lateral inhibition. Although the site of inhibitory interaction is not specified by the model, certain assumptions are made regarding the succession of neural events along the pupillomotor pathway. The postulated succession of transmitting stages is: nonlinear transformation, first order lowpass filter with time constant characteristic for the pupillary response, lateral inhibition, addition and second order lowpass filter with the same time constant as before. Besides predicting the experimental data this functional model resolves certain contradictions in the conclusions of different autors regarding the succession of nonlinear transformation and signal combination in the human pupillary system.

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

Literatur

  • Alpern, M., and D. W. Campbell: The spectral sensitivity of the consensual light reflex. J. Physiol. (Lond.) 164, 478–507 (1962).

    Google Scholar 

  • Alpern, M., D. W. McCready jr., and L. Barr: The dependence of the photopupil response on flash duration and intensity. J. gen. Physiol. 47, 265–278 (1963).

    Google Scholar 

  • Baker, F. H.: Pupillary response to double-pulse stimulation; a study of nonlinearity in the human pupil system. J. opt. Soc. Amer. 53, 1430–1436 (1963).

    Google Scholar 

  • Bartley, S. H.: Some parallels between pupillary “reflex” and brightness discrimination. J. exp. Physiol. 32, 110–122 (1943).

    Google Scholar 

  • Blasius, W.: Allgemeine Physiologie des Nervensystems. In: Landois-Rosemann, Lehrbuch der Physiologie des Menschen, Bd. II, S. 646. München u. Berlin: Urban & Schwarzenberg 1962.

    Google Scholar 

  • Bouma, H.: Receptive systems. Mediating certain light reactions of the pupil of the human eye. Thesis Technische Hoge-school Eindhoven 1965.

  • Clynes, M.: Computer dynamics analysis of the pupil light reflex. Proc. of the Third Internat. Conf. on Medical Electronics, London 1960, p. 356–358; - The nonlinear biological dynamics of unidirectional rate sensitivity illustrated by analog computer analysis, pupillary reflex to light and sound, and heart rate behaviour. Ann. N.Y. Acad. Sci. 98, 806–845 (1962).

  • Doesschate, J. Ten, and M. Alpern: Response of the pupil to steady state retinal illumination: Contribution by cones. Science 149, 989–991 (1965); - Effect of symmetrical photoexcitation of the two retinas on pupil size. Persönliche Mitteilung (im Druck) (1966a) - Effect of asymmetrical photoexcitation of the two retinas on pupil size. Persönliche Mitteilung (im Druck) (1966b).

    Google Scholar 

  • Fulton, J. F.: A textbook of physiology, p. 71. Philadelphia and London: W. B. Saunders Co. 1956.

    Google Scholar 

  • Furman, G. G.: Comparison of models for subtractive and shunting lateral inhibition in receptor-neuron fields. Kybernetik 2, 257–274 (1965).

    Google Scholar 

  • Grüsser, O.-J., u. U. Grüsser-Cornehls: Die Signalüber-tragung durch Nervenzellen. Dtsch. med. Wschr. 88, Nr 21–22, 1035–1041, 1080–1085 (1964).

    Google Scholar 

  • Grüsser, O.-J., u. Ch. Reidemeister: Flimmerlichtuntersuchungen an der Katzenretina II. Z. Biol. 111, 254–270 (1959).

    Google Scholar 

  • Hartline, H. K., F. Ratliff, and W. H. Miller: Inhibitory interaction in the retina and its significance in vision. In: E. Florey, ed.: Nervous inhibition. London: Pergamon Press 1961.

    Google Scholar 

  • Hughes, G. W., and L. Maffei: Modulation processes in the retina. Persönliche Mitteilung (aus dem Istituto di Fisiologica dell' Università di Pisa) 1965.

  • Lettvin, J. Y.: Form-function relations in neurons. Mass. Inst. Technol., Res. Lab. Electronics Quart. Progr. Rept. No 66, 333 (15 July 1962) (zit.nach Furman 1965).

  • Ratliff, F.: Mach bands. Quantitative studies on neural networks in the retina. San Francisco-London-Amsterdam: Holden-Day Inc. 1965.

    Google Scholar 

  • Reeves, P.: The response of the average pupil to various intensities of light. J. opt. Soc. Amer. 4, 35–43 (1920).

    Google Scholar 

  • Reichardt, W.:Theoretical aspects of neural inhibition in the lateral eye of limulus. Excerpta Med. Internat. Congr. Series No 49, vol. III of Proceedings of the Internat. Union of Physiol. Sci. 65–84 (1962).

  • Reidemeister, Ch., u. O.-J. Grüsser: Flimmerlichtuntersuchungen an der Katzenretina I. Z. Biol. 111, 241–253 (1959).

    Google Scholar 

  • Sherrington, S.: The integrative action of the nervous system. New Haven and London 1906. Zitatnach Grüsser u. Grüsser-Cornehls 1964.

  • Stark, L.: Stability, oscillation, and noise in the human pupil servomechanism. Proc. IRE 47, 1925–1939 (1959); - Black-box description and physical element identification in the pupil system. Quarterly Progress Report No 69, 247–250, Res. Lab. of Electronics, MIT 1963.

    Google Scholar 

  • Varjú, D.: On the theory of lateral inhibition. In: E. R. Caianiello, ed., Cybernetics of neural processes, p. 291–316. Consiglio Nazionale delle Richerche, Roma 1965a.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vabjú, D. Nervöse Wechselwirkung in der pupillomotorischen Bahn des Menschen. Kybernetik 3, 214–226 (1967). https://doi.org/10.1007/BF00288551

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00288551

Navigation