Sequences of predictive saccades are correlated over a span of ∼2 s and produce a fractal time series

Journal of Neurophysiology

Volumn 93, Issue 4, 2005, Pages 2002-2011

  Shelhamer, Mark ^a,b  

^a JOHNS HOPKINS UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b 210 Pathology Bldg ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CORRELATION ANALYSIS; EYE TRACKING; FRACTAL ANALYSIS; HUMAN; MATHEMATICAL ANALYSIS; MOVEMENT (PHYSIOLOGY); NONLINEAR SYSTEM; PHASE TRANSITION; PREDICTION; PRIORITY JOURNAL; QUANTITATIVE DIAGNOSIS; SACCADIC EYE MOVEMENT;

FRACTALS; HUMANS; PHOTIC STIMULATION; PREDICTIVE VALUE OF TESTS; REACTION TIME; SACCADES; TIME FACTORS;

EID: 15544372859     PISSN: 00223077     EISSN: None     Source Type: Journal    
DOI: 10.1152/jn.00800.2004     Document Type: Article

References (20)

1. Addison PS. Fractals and Chaos, An Illustrated Course. Philadelphia: Institute of Physics Publishing, 1997.
2. Bassingthwaighte JB, Liebovitch LS, and West BJ. Fractal Physiology. New York: Oxford, 1994.
3. Becker W. Metrics. In: The Neurobiology of Saccadic Eye Movements, edited by Wurtz R and Goldberg M. New York: Elsevier Science, 1989.
4. Chakraborti SR, Barnes GR, and Collins CJ. Factors affecting the longevity of a short-term velocity store for predictive oculomotor tracking. Exp Brain Res 144: 152-158, 2002.
5. Ding M, Chen Y, and Kelso JAS. Statistical analysis of timing errors. Brain Cogn 48: 98-106, 2002.
6. Farmer JD and Sidorowich JJ. Predicting chaotic time series. Phys Rev Lett 59: 845-848, 1987.
7. Gagnon D, O'Driscoll GA, Petrides M, and Pike GB. The effect of spatial and temporal information on saccades and neural activity in oculomotor structures. Brain 125: 123-139, 2002.
8. Gaymard B, Ploner CJ, Rivaud S, Vermersch AI, and Pierrot-Deseilligny C. Cortical control of saccades. Exp Brain Res 123: 159-163, 1998.
9. Joiner WM and Shelhamer M. An investigation of the relative stability of reactive and predictive oculomotor tracking. J Vestibular Res 14: 209, 2004 (Abstracts of the Bárány Society XXIII International Congress, Paris, France).
10. Kelso JAS, Southard DL, and Goodman D. On the nature of human interlimb coordination. Science 203: 1029-1031, 1979.
11. Mandelbrot BB. The Fractal Geometry of Nature. New York: Freeman, 1983.
12. Packard NH, Crutchfield JP, Farmer JD, and Shaw RS. Geometry from a time series. Phys Rev Lett 45: 712-716, 1980.
13. Rangarajan G and Ding M. Integrated approach to the assessment of long range correlation in time series data. Phys Rev E 61: 4991-5001, 2000.
14. Roberts S, Eykholt R, and Thaut MH. Analysis of correlations and search for evidence of deterministic chaos in rhythmic motor control by the human brain. Phys Rev E 62: 2597-2607, 2000.
15. Ruelle D. Deterministic chaos: the science and the fiction. Proc Royal Soc Lond A 427: 241-248, 1990.
16. Shelhamer M and Gross CD. Prediction of the sequence of optokinetic nystagmus eye movements reveals deterministic structure in reflexive oculomotor behavior. IEEE Trans Biomed Eng 45: 668-670, 1998.
17. Shelhamer M and Joiner WM. Saccades exhibit abrupt transition between reactive and predictive; predictive saccade sequences have long-term correlations. J Neurophysiol 90: 2763-2769, 2003.
18. Trillenberg P, Gross C, and Shelhamer M. Random walks, random sequences, and nonlinear dynamics in human optokinetic nystagmus. J Appl Physiol 91: 1750-1759, 2001.
19. Tsonis AA and Elsner JB. Nonlinear prediction as a way of distinguishing chaos from random fractal sequences. Nature 358: 217-220, 1992.
20. Wells SG and Barnes GR. Fast, anticipatory smooth-pursuit eye movements appear to depend on a short-term store. Exp Brain Res 120: 129-133, 1998.