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A mathematical model of the optokinetic reflex

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Abstract

The role of the optokinetic reflex (OKR) is that of cooperating with the vestibulo-ocular reflex (VOR) in the task of image stabilization on the retina during head rotations in a stationary visual surround. Since the dynamics of VOR was already well established, it has been possible to make a broad estimation of what the dynamics of OKR should be in order to obtain the performances observed in normal subjects. A mathematical model of OKR has been presented, and the experimental results obtained by Raphan et al. (1977) in the monkey and by Collins et al. (1970) in man were used to validate the model and to obtain a precise estimation of its parameters.

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References

  • Allum, J.H.J., Graf, W., Dichgans, J., Schmidt, C.L.: Visualvestibular interactions in the vestibular nuclei of the goldfish. Exp. Brain Res. 26, 463–485 (1976)

    Google Scholar 

  • Barany, R.: Zur Klinik und Theorie des Eisenbahnnystagmus. Arch. Augenheilkd. 88, 139–142 (1921)

    Google Scholar 

  • Barnes, G.R., Benson, A.J.: A model for the prediction of the nystagmic response to angular and linear acceleration stimuli. In: The use of nystagmography in aviation medicine. NATO AGARD CCP-128, A23, 1–13 (1973)

  • Benson, A.J., Barnes, G.R.: Vision during angular oscillation: the dynamic interaction of visual and vestibular mechanisms. Aviat. Space Environ. Med. 340–345 (1978)

  • Berthoz, A.: Role of the vestibular nuclei in the control of gaze. A: Vestibular nuclei. In: Control of gaze by brain stem neurons, pp. 279–289. Baker, R., Berthoz, A. (eds.) Amsterdam, New York: Elsevier 1977

    Google Scholar 

  • Brandt, Th., Dichagans, J., Koenig, E.: Perception of self-rotation induced by optokinetic stimuli. Pflügers Arch. 332, R98 (1972)

  • Carpenter, R.H.S.: Cerebellectomy and transfer function of the vestibuloocular relfex in the decrebrate cat. Proc. Roy. Soc. (London) 181, 353–374 (1972)

    Google Scholar 

  • Chun, K.S., Robinson, D.A.: A model of quick phase generation in the vestibulo-ocular reflex. Biol. Cybernetics 28, 209–221 (1978)

    Google Scholar 

  • Cohen, B., Matsuo, V., Raphan, Th.: Quantitative analysis of the velocity characteristics of optokinetic nystagmus and optokinetic afternystagmus. J. Physiol. 270, 321–344 (1977)

    Google Scholar 

  • Collewijn, H.: An analog model of the rabbit's optokinetic system. Brain Res. 36, 71–88 (1972)

    Google Scholar 

  • Collins, W.E., Schroeder, D.J., Rice, N., Mertens, R.A., Kranz, G.: Some characteristics of optokinetic eye movement patterns: a comparative study. AM 70-10. Federal Aviation Administration, 1970

  • Dichgans, J.: Optokinetic nystagmus as dependent on the retinal periphery via the vestibular nuclei. In: Control of gaze by brain stem neurons, pp. 261–267. Baker, R., Berthoz, A. (eds.) Amsterdam, New York: Elsevier 1977

    Google Scholar 

  • Dichgans, J.: Smooth pursuit and optokinetic nystagmus in normal and patients. International Symposium on: Reflex control of posture and movements. Pisa 1978

  • Fernandez, C., Goldberg, J.M.: Physiology of peripheral neurons innervating semicircular canals of the squirrel monkey. II. Response to sinusoidal stimulation and dynamics of peripheral vestibular system. J. Neurophysiol. 82, 661–675 (1971)

    Google Scholar 

  • Fox, J.E., Holmes, G.: Optic nystagmus and its value in the localization of cerebral lesions. Brain 49, 333–371 (1926)

    Google Scholar 

  • Henn, V., Young, L.R., Finley, C.: Vestibular nucleus units in alert monkeys are also influenced by moving visual fields. Brain Res. 71, 144–149 (1974)

    Google Scholar 

  • Honrubia, V., Downey, W., Mitchell, D.P., Ward, P.H.: Experimental studies on optokinetic nystagmus. II. Normal humans. Acta Otolaryng. 65, 441–448 (1968)

    Google Scholar 

  • Honrubia, V., Jenkins, H., Downey, W., Ward, P.H.: Experimental studies on optokinetic nystagmus. III. Modifications produced by labyrinthectomy and cerebral hemidecortication in cats. Ann. Otol. 80, 97–110 (1971)

    Google Scholar 

  • Honrubia, V., Scott, B.J., Ward, P.H.: Experimental studies on optokinetic nystagmus. I. Normal cats. Acta Otolaryng. 64, 388–402 (1967)

    Google Scholar 

  • Hood, J.D.: Observations upon the neurological mechanism of optokinetic nystagmus with special reference to the contribution of peripheral vision. Acta Otolaryng. (Stockh.) 63, 208–215 (1967)

    Google Scholar 

  • Jeannerod, M., Magnin, M., Schmid, R., Stefanelli, M.: Vestibular habituation to angular velocity steps in the cat. Biol. Cybernetics 22, 39–48 (1976)

    Google Scholar 

  • Melvill Jones, G., Milsum, J.H.: Spatial and dynamic aspects of visual fixation. IEEE Trans. Bio-med. Eng. BME-12, 54–62 (1965)

    Google Scholar 

  • Melvill Jones, G., Milsum, J.H.: Frequency response analysis of central vestibular unit activity resulting from rotational stimulation of the semi-circular canals. J. Physiol. 219, 191–215 (1971)

    Google Scholar 

  • Mevio, E.: Ricerca comparativa del nistagmo in soggetti normali e patologici. Thesis, University of Pavia 1978

  • Precht, W., Shimazu, H., Markham, C.H.: A mechanism of central compensation of vestibular function following hemilabyrinthectomy. J. Neurophysiol. 29, 996–1010 (1966)

    Google Scholar 

  • Rademaker, G.G.J., ter Braak, J.W.G.: On the central mechanism of some optic reaction. Brain 71, 48–77 (1948)

    Google Scholar 

  • Raphan, Th., Cohen, B., Matsuo, V.: A velocity-storage mechanism responsible for optokinetic nystagmus (OKN), optokinetic after-nystagmus (OKAN), and vestibular nystagmus. In: Control of gaze by brain stem neurons, pp. 37–47. Baker, R., Berthoz, A. (eds.) Amsterdam, New York: Elsevier 1977

    Google Scholar 

  • Robinson, D.A.: Models of the saccadic eye movement control system. Kybernetic 14, 71–83 (1973)

    Google Scholar 

  • Robinson, D.A.: Oculomotor control signals. In: Basic mechanisms of ocular motility and their clinical implications, pp. 337–374. Lennerstrand, G., Bach-y-Rita, P. (eds.) Oxford: Pergamon Press 1975

    Google Scholar 

  • Robinson, D.A.: Adaptive gain control of the vestibulo-ocular reflex by the cerebellum. J. Neurophysiol. 39, 954–969 (1976)

    Google Scholar 

  • Robinson, D.A.: Vestibular and optokinetic symbiosis: an example of explaining by modelling. In: Control of gaze by brain stem Neurons, pp. 49–58. Baker, R., Berthoz, A. (eds.) Amsterdam, New York: Elsevier 1977a

    Google Scholar 

  • Robinson, D.A.: Linear addition of optokinetic and vestibular signals in the vestibular nuclei. Exp. Brain Res. 30, 447–450 (1977b)

    Google Scholar 

  • Schmid, R., Lardini, F.: On the predominance of anti-compensatory eye movements in vestibular nystagmus. Biol. Cybernetics 23, 135–148 (1976)

    Google Scholar 

  • Schmid, R., Zambarbieri, D.: Model of visual-vestibular interaction (in preparation)

  • Steinhausen, W.: Über den Nachweis der Bewegung der Cupola in der intakten Bogengangsampulle des Labyrinthes bei der natürlichen rotatorischen und calorischen Reizung. Pflügers Arch. Ges. Physiol. 228, 322–328 (1931)

    Google Scholar 

  • Tauber, E.S., Koffler, S.: Optomotor responses in human infants in apparent motion: evidence of innateness. Science 152, 382–383 (1966)

    Google Scholar 

  • ter Braak, J.W.C.: Untersuchungen über optokinetischen Nystagmus. Arch. Neurol. Physiol. 21, 309–376 (1936)

    Google Scholar 

  • Waespe, W., Henn, V.: Neuronal activity in the vestibular nuclei of the alert monkey during vestibular and optokinetic stimulation. Exp. Brain Res. 27, 523–539 (1977a)

    Google Scholar 

  • Waespe, W., Henn, V.: Vestibular nuclei activity during optokinetic after-nystagmus (OKAN) in the alert monkey. Exp. Brain Res. 30, 323–330 (1977b)

    Google Scholar 

  • Waespe, W., Henn, V.: The convergence ov vestibular and visual information onto neurons of the vestibular nuclei in alert monkey (macaca mulatta). Proc. of IFAC Symp. on Control Mechanisms in Bio and Eco-systems, 3, 143–152 (1977c)

    Google Scholar 

  • Waespe, W., Henn, V.: Motion information in the vestibular nuclei of alert monkeys: visual and vestibular input versus optomotor output. International Symposium on: Reflex control of posture and movements. Pisa 1978

  • Waespe, W., Henn, V., Miles, T.S.: Activity in the vestibular nuclei of the alert monkey during spontaneous eye movements and vestibular or optokinetic stimulation. In: Control of gaze by brain stem neurons, pp. 269–278. Baker, R., Berthoz, A. (eds.) Amsterdam, New York: Elsevier 1977

    Google Scholar 

  • Wolpert, E.M.: Der Einfluß der peripheren Retina-Reizfeldgröße-auf den Geschwindigkeitsgang des optokinetischen Nystagmus. Med. Diss., Freiburg 1971

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Authors and Affiliations

  1. Istituto di Informatica e Sistemistica, University of Pavia, Pavia, Italy

    R. Schmid, D. Zambarbieri & R. Sardi

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  1. R. Schmid
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  2. D. Zambarbieri
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  3. R. Sardi
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Work supported by CNR, Special Project on Biomedical Engineering, grant No. 78.00512.86

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Schmid, R., Zambarbieri, D. & Sardi, R. A mathematical model of the optokinetic reflex. Biol. Cybernetics 34, 215–225 (1979). https://doi.org/10.1007/BF00337428

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