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The use of auto-correlation function to quantify periodicity in smooth pursuit

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Summary

Smooth pursuit eye movement was recorded with a DC amplifier during horizontal sinusoidal target movement at 0.3, 0.6, 0.8, 1.0 and 1.2 Hz. Eye movement was digitalized at 100 Hz and 12 bits accuracy. The digitalized eye movements were analyzed by the autocorrelation function, and the auto-correlation coefficient was used to quantify periodicity. In 13 healthy volunteers, the auto-correlation coefficient was nearly equal to 1.0 at 0.3 Hz but gradually decreased as the target frequency increased. In 8 patients with various neurological disorders, the auto-correlation coefficient was significantly smaller at all target frequencies than in the healthy volunteers. Less periodicity, as indicated by the decreased auto-correlation coefficient, suggests a disorder in the control visual feedback mechanism in smooth pursuit.

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References

  1. Babloyantz A, Destexhe A (1988) Is the normal heart a periodic oscillator? Biol Cybern 58:203–211

    Google Scholar 

  2. Barnes GR, Asselman PT (1991) The mechanism of prediction in human smooth pursuit eye movements. J Physiol (Lond) 439:439–461

    Google Scholar 

  3. Barnes GR, Donnelly SF, Eason RD (1986) Predictive velocity estimation in the pursuit reflex response to pseudo-random and step displacement stimulation in man. J Physiol(Lond) 389:111–136

    Google Scholar 

  4. Davis PJ (1975) Methods of numerical integration. Approximate integration over infinite intervals. Academic Press, New York

    Google Scholar 

  5. Distefano JJ (1983) Control system. In: Distefano JJ, Stubberud AR, Williams IJ (eds) Theory and problems of feedback and control systems. McGraw-Hill, New York, pp 1–5

    Google Scholar 

  6. Heywood S, Churcher J (1971) Eye movements and the afterimage. I. Tracking the afterimage. Vision Res 11:1163–1168

    Google Scholar 

  7. Kislyakov Y, Levkovitch Y, Shuymilova T, Vershinina E (1987) Blood flow fluctuations in cerebral cortex microvessels. Int J Microcirc Clin Exp 6:3–13

    Google Scholar 

  8. Kommerell G, Taumer R (1972) Investigation of the eye tracking system through stabilized retinal images. In: Dichgans J, Bizzi E (eds) Cerebral control of eye movements and motion perception. Karger, Basel, pp 288–297

    Google Scholar 

  9. Larsby B, Moller CG, Hyden D, Odkvist LM (1987) Smooth pursuit in normals and patients with acoustic neuromas. In: Graham MD, Kemink JL (eds) The vestibular system: neurophysiologic and clinical research. Raven Press, New York, pp 293–296

    Google Scholar 

  10. Lisberger SG, Fuchs A (1978) Role of primate flocculus during rapid behavioral modification of vestibuloocular reflex. I. Purkinje cell activity during visually guided horizontal smoothpursuit eye movements and passive head rotation. J Neurophysiol 41:733–763

    Google Scholar 

  11. Lisberger SG, Evinger C, Johanson GW, Fuchs A (1981) Relationship between eye acceleration and retinal image velocity during foveal smooth pursuit in man and monkey. J Neurophysiol 46:229–249

    Google Scholar 

  12. Miles FA, Fuller JH (1975) Visual tracking and the primate flocculus. Science 189:1000–1002

    Google Scholar 

  13. Ohashi N, Watanabe Y, Kobayashi H, Mizukoshi K (1985) Quantitative measurement of smooth pursuit using a continuously changing sinusoidal wave in normal subjects. ORL 47: 49–56

    Google Scholar 

  14. Rashbass (1961) The relationship between saccadic and smooth tracking eye movements. J Physiol(Lond) 151:338–362

    Google Scholar 

  15. Robinson DA (1965) The mechanisms of human smooth pursuit eye movement. J Physiol(Lond) 180:569–591

    Google Scholar 

  16. Sieck GC, Trelease RB, Harper RM (1984) Sleep influences on diaphragmatic motor unit discharge. Exp Neurol 85:316–335

    Google Scholar 

  17. Stockwell CW, Barin KM, Alexander KJ, Barin KG (1987) Velocity and acceleration limits in human pursuit eye movements. In: Graham MD, Kemink JL (eds) The vestibular system: neurophysiologic and clincial research. Raven Press, New York, pp 359–363

    Google Scholar 

  18. Tychsen L, Lisberger SG (1986) Visual motion processing for the initiation of smooth pursuit eye movements in humans. J Neurophysiol 56:953–968

    CAS  PubMed  Google Scholar 

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Correspondence to: N. Ohashi

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Ohashi, N., Mizukoshi, K. The use of auto-correlation function to quantify periodicity in smooth pursuit. Eur Arch Otorhinolaryngol 249, 482–484 (1993). https://doi.org/10.1007/BF00168860

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  • DOI: https://doi.org/10.1007/BF00168860

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