Statistical study of the single saccade eye movement forms
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2018) no. 2, pp. 195-207.

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The study is devoted to analysis of records of rapid coordinated eye movements — saccades. Saccadic eye movements are performed by a human several thousand times a day and have a standard form. Changes in the movement of the eyes, including saccades, are noted in the case of disorders of the central nervous system, middle ear organs, and after a long space flight. Eye movement testing is used in medical practice for diagnosis and control when treating disorders in functioning of the organs of the inner ear, central nervous system, strabismus. This paper proposes a method for approximating records of saccades with possible presence of pre- and postsaccadic movements. Numerical parameters describing pre- and postsaccadic movements and asymmetry of a saccade are suggested. The results of a statistical study of forms of saccades in a normal person are given. The statistical study has shown that difference in forms of saccades is significant.
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A. P. Kruchinina; A. G. Yakushev. Statistical study of the single saccade eye movement forms. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2018) no. 2, pp. 195-207. http://geodesic.mathdoc.fr/item/FPM_2018_22_2_a12/

[1] Emelyanova N. A., “Frantsuzskii oftalmolog Emil Zhaval i ego kniga «Sredi slepykh»”, Vestn. oftalmologii, 119:2 (2003), 54–55

[2] Protasevich G. I., Kubarko A. I., Vremennaya dinamika korrektsii oshibochnykh i dismetrichnykh sakkadicheskikh dvizhenii glaz na svetovoi, zvukovoi i bolevoi stimuly, BGU, 2011

[3] Filin V. A., Avtomatiya sakkad, Izd-vo Mosk. un-ta, M., 2002

[4] Shtefanova O. Yu., Yakushev A. G., “Kriterii kachestva zritelnogo slezheniya pri nistagme”, Vestn. Mosk. un-ta. Ser. 1. Matematika. Mekhanika, 2008, no. 4, 63–65

[5] Shtefanova O. Yu., Yakushev A. G., Kaspranskaya G. R., Suchalkina A. F., “Matematicheskoe modelirovanie nistagma kak mekhanizma stabilizatsii vzora pri dvizhenii”, Izv. In-ta inzhenernoi fiziki, 2009, no. 14, 27–31

[6] Yakushev A. G., Napalkov D. A., Ratmanova P. O. i dr., “Kompozitsionnyi sposob opredeleniya upravleniya glazodvigatelnymi myshtsami pri sakkade”, Ros. zhurn. biomekh., 15:1 (2011), 99–109

[7] Yarbus A. L., Rol dvizhenii glaz v protsesse zreniya, Nauka, M., 1965

[8] Behrens F., MacKeben M., Schröder-Preikschat W., “An improved algorithm for automatic detection of saccades in eye movement data and for calculating saccade parameters”, Behavior Research Methods, 42:3 (2010), 701–708 | DOI

[9] Juhola M., “Detection of nystagmus eye movements using a recursive digital filter”, IEEE Trans. Biomed. Eng., 35:5 (1988), 389–395 | DOI

[10] Kruchinina A. P., Yakushev A. G., “A study of the edge segments of saccadic eye trajectory”, Experimental and Computational Biomedicine, Russ. Conf. with Int. Particip. in Memory of Professor Vladimir S. Markhasin, Izd-vo Ural. un-ta, Ekaterinburg, 2016, 34

[11] Leigh R. J., Zee D. S., The Neurology of Eye Movements, Oxford Univ. Press, New York, 2006

[12] McSpadden A., A Mathematical Model of Human Saccadic Eye Movement, Ph.D. Thesis, Texas Tech. Univ., 1998

[13] Montagnini A., Chelazzi L., “Dynamic interaction between «Go» and «Stop» signals in the saccadic eye movement system: New evidence against the functional independence of the underlying neural mechanisms”, Vision Research, 49:10 (2009), 1316–1328 | DOI