A model of time estimation and error feedback in predictive timing behavior

Journal of Computational Neuroscience

Volumn 26, Issue 1, 2009, Pages 119-138

  Joiner, Wilsaan M ^a,c   Shelhamer, Mark ^b  

^a NATIONAL EYE INSTITUTE   (United States)

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

^c NATIONAL INSTITUTES OF HEALTH   (United States)

Author keywords

Error feedback; Prediction; Saccade; Timing

Indexed keywords

ERRORS; EYE MOVEMENTS; FEEDBACK; TARGET TRACKING; TIMING CIRCUITS;

ERROR FEEDBACK; ESTIMATION FEEDBACK; KEY FEATURE; MODELS OF TIME; PERFORMANCE; PERFORMANCE BASED; SENSORIMOTORS; TIME ESTIMATION; TIME RANGE; TIMING;

FORECASTING;

ARTICLE; CONTROLLED STUDY; EXPERIMENTAL MODEL; EYE MOVEMENT CONTROL; EYE POSITION; EYE TRACKING; FEEDBACK SYSTEM; HUMAN; HUMAN EXPERIMENT; HYSTERESIS; LATENT PERIOD; MATHEMATICAL COMPUTING; NEUROOPHTHALMOLOGY; NORMAL HUMAN; OCULOMOTOR SYSTEM; PREDICTION; PRIORITY JOURNAL; SACCADIC EYE MOVEMENT; STIMULUS RESPONSE; TIME PERCEPTION;

EID: 60449086473     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10827-008-0102-x     Document Type: Article

References (82)

1. Artieda, J., Pastor, M. A., Lacruz, F., & Obeso, J. A. (1992). Temporal discrimination is abnormal in Parkinson's disease. Brain, 115, 199-210.
2. Bronstein, A. M., & Kennard, C. (1984). Predictive eye movements in normal subjects and in Parkinson's disease. In A. G. Gale & F. Johnson (Eds.), Theoretical and applied aspects of eye movement research (pp. 463-472). North Holland: Elsevier.
3. Bronstein, A. M., & Kennard, C. (1985). Predictive ocular motor control in Parkinson's disease. Brain, 108, 925-940.
4. Buhusi, C. V., & Meck, W. H. (2005). What makes us tick? Functional and neural mechanisms of interval timing. Nature Reviews Neuroscience, 6, 755-765.
5. Buonomano, D. V., & Karmarkar, U. R. (2002). How do we tell time? Neuroscientist, 8, 42-51.
6. Burke, M., & Barnes, G. (2008). Brain and behavior: A task-dependent eye movement study. Cerebral Cortex, 18, 126-135.
7. Calton, J. L., Dickinson, A. R., & Snyder, L. H. (2002). Non-spatial, motor-specific activation in posterior parietal cortex. Nature Neuroscience, 5, 580-588.
8. Carpenter, R. H., & Williams, M. L. (1995). Neural computation of log likelihood in control of saccadic eye movements. Nature, 377, 59-62.
9. Chen, Y., Repp, B. H., & Patel, A. D. (2002). Spectral decomposition of variability in synchronization and continuation tapping: Comparisons between auditory and visual pacing and feedback conditions. Human Movement Science, 21, 515-532.
10. Collins, C. J., Jahanshahi, M., & Barnes, G. R. (1998). Timing variability of repetitive saccadic eye movements. Experimental Brain Research, 120, 325-334.
11. Crawford, T., Goodrich, S., Henderson, L., & Kennard, C. (1989). Predictive responses in Parkinson's disease: Manual keypresses and saccadic eye movements to regular stimulus events. Journal of Neurology, Neurosurgery and Psychiatry, 52, 1033-1042.
12. Dreher, J. C., & Grafman, J. (2002). The roles of the cerebellum and basal ganglia in timing and error prediction. European Journal of Neuroscience, 16, 1609-1619.
13. Engström, D. A., Kelso, J. A. S., & Holroyd, T. (1996). Reaction-anticipation transitions in human perception-action patterns. Human Movement Science, 15, 809-832.
14. Gagnon, D., O'Driscoll, G. A., Petrides, M., & Pike, G. B. (2002). The effect of spatial and temporal information on saccades and neural activity in oculomotor structures. Brain, 125, 123-139.
15. Gardiner, C. W. (2004). Handbook of stochastic methods for physics, chemistry and the natural sciences. Berlin: Springer.
16. Getty, D. J. (1975). Discrimination of short temporal intervals: A comparison of two models. Perception and Psychophysics, 18, 1-8.
17. Gibbon, J. (1977). Scalar expectancy theory and Weber's law in animal timing. Psychological Review, 84, 279-325.
18. Gibbon, J., Malapani, C., Dale, C. L., & Gallistel, C. R. (1997). Toward a neurobiology of temporal cognition: Advances and challenges. Current Opinion in Neurobiology, 7, 170-184.
19. Haken, H., Kelso, J. A., & Bunz, H. (1985). A theoretical model of phase transitions in human hand movements. Biological Cybernetics, 51, 347-356.
20. Hanes, D. P., Patterson, W. F., & Schall, J. D. (1998). Role of frontal eye fields in countermanding saccades: Visual, movement, and fixation activity. Journal of Neurophysiology, 79, 817-834.
21. Hanes, D., & Schall, J. D. (1996). Neural control of voluntary movement initiation. Science, 274, 427-430.
22. Harrington, D. L., & Haaland, K. Y. (1999). Neural underpinnings of temporal processing: A review of focal lesion, pharmacological, and functional imaging research. Reviews in the Neurosciences, 10, 91-116.
23. Harrington, D. L., Haaland, K. Y., & Hermanowicz, N. (1998). Temporal processing in the basal ganglia. Neuropsychology, 12, 3-12.
24. Hary, D., & Moore, G. P. (1985). Temporal tracking and synchronization strategies. Human Neurobiology, 4, 73-79.
25. Hary, D., & Moore, G. P. (1987a). Synchronizing human movement with an external clock source. Biological Cybernetics, 56, 305-311.
26. Hary, D., & Moore, G. P. (1987b). On the performance and stability of human metronome-synchronization strategies. British Journal of Mathematics and Statistical Psychology, 40, 109-124.
27. Hausdorff, J. M., Peng, C. K., Ladin, Z., Wei, J. Y., & Goldberger, A. L. (1995). Is walking a random walk? Evidence for long-range correlations in stride interval of human gait. Journal of Applied Physiology, 78, 349-358.
28. Hoagland, H. (1933). The psychological control of judgements of duration: Evidence for a chemical clock. Journal of General Psychology, 9, 267-287.
29. Isotalo, E., Lasker, A. G., & Zee, D. S. (2005). Cognitive influences on predictive saccadic tracking. Experimental Brain Research, 165, 461-469.
30. Ivry, R. B., & Keele, S. W. (1989). Timing function of the cerebellum. Journal of Cognitive Neuroscience, 1, 136-152.
31. Jirsa, V. K., Friedrich, R., Haken, H., & Kelso, J. A. (1994). A theoretical model of phase transitions in the human brain. Biological Cybernetics, 71, 27-35.
32. Joiner, W. M., Lee, J. E., Lasker, A., & Shelhamer, M. (2007b). An internal clock for predictive saccades is established identically by auditory or visual information. Vision Research, 47, 1645-1654.
33. Joiner, W. M., Lee, J. E., & Shelhamer, M. (2007a). Behavioral analysis of predictive saccade tracking as studied by countermanding. Experimental Brain Research, 181, 307-320.
34. Joiner, W. J., & Shelhamer, M. (2006a). An internal clock generates repetitive predictive saccades. Experimental Brain Research, 175, 305-320.
35. Joiner, W. J., & Shelhamer, M. (2006b). Pursuit and saccadic tracking exhibit a similar dependence on movement preparation time. Experimental Brain Research, 173, 572-586.
36. Joiner, W. M., & Shelhamer, M. (2006c). Responses to noisy periodic stimuli reveal properties of a neural predictor. Journal of Neurophysiology, 96, 2121-2126.
37. Koch, G., Oliveri, M., Torriero, S., Salerno, S., Gerfo, E. L., & Caltagirone, C. (2006). Repetitive TMS of cerebellum interferes with millisecond time processing. Experimental Brain Research, 179, 291-299.
38. Krebs, M. O., Gut-Fayand, A., Amado, I., Daban, C., Bourdel, M. C., Poirier, M. F., et al. (2001). Impairment of predictive saccades in schizophrenia. NeuroReport, 12, 465-469.
39. Lawrence, B. M., & Snyder, L. H. (2006). Comparison of effector-specific signals in frontal and parietal cortices. Journal of Neurophysiology, 96, 1393-1400.
40. Lee, K. H., Egleston, P. N., Brown, W. H., Gregory, A. N., Barker, A. T., & Woodruff, P. W. (2007). The role of the cerebellum in subsecond time perception: Evidence from repetitive transcranial magnetic stimulation. Journal of Cognitive Neuroscience, 19, 147-157.
41. Linkenkaer-Hansen, K., Nikouline, V. V., Palva, J. M., & Ilmoniemi, R. J. (2001). Long-range temporal correlations and scaling behavior in human brain oscillations. Journal of Neuroscience, 21, 1370-1377.
42. MacDorman, C. E. (1962). Synchronization with auditory models of varying complexity. Perceptual and Motor Skills, 15, 595-602.
43. Matell, M. S., & Meck, W. H. (2004). Cortico-striatal circuits and interval timing: Coincidence detection of oscillatory processes. Cognitive Brain Research, 21, 139-170.
44. Mates, J. (1994a). A model of synchronization of motor acts to a stimulus sequence. I. Timing and error corrections. Biological Cybernetics, 70, 463-473.
45. Mates, J. (1994b). A model of synchronization of motor acts to a stimulus sequence. II. Stability analysis, error estimation and simulations. Biological Cybernetics, 70, 475-484.
46. Mates, J., Radil, T., Müller, U., & Pöppel, E. (1994). Temporal integration in sensorimotor synchronization. Journal of Cognitive Neuroscience, 6, 332-340.
47. Mauk, M. D., & Buonomano, D. V. (2004). The neural basis of temporal processing. Annual Review of Neuroscience, 27, 307-340.
48. Meck, W. H., & Benson, A. M. (2002). Dissecting the brain's internal clock: How frontal-striatal circuitry keeps time and shifts attention. Brain and Cognition, 48, 195-211.
49. Meck, W. H., Church, R. M., Wenk, G. L., & Olton, D. S. (1987). Nucleus basalis magnocellularis and medial septal area lesions differentially impair temporal memory. Journal of Neuroscience, 7, 3505-3511.
50. Medina, J. F., Carey, M. R., & Lisberger, S. G. (2005). The representation of time for motor learning. Neuron, 45, 157-167.
51. Michon, J.A. (1967). Timing in temporal tracking. Soesterberg, The Netherlands: Institute for Perception RVO-TNO.
52. Miyake, Y., Onishi, Y., & Poppel, E. (2004). Two types of anticipation in synchronization tapping. Acta Neurobiologiae Experimentalis, 64, 415-426.
53. Paré, M., & Hanes, D. P. (2003). Controlled movement processing: Superior colliculus activity associated with countermanded saccades. Journal of Neuroscience, 23, 6480-6489.
54. Peng, C-K., Havlin, S., Stanley, H. E., & Goldberger, A. L. (1995). Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos, 5, 82-87.
55. Rao, S. M., Harrington, D. L., Haaland, K. Y., Bobholz, J. A., Cox, R. W., & Binder, J. R. (1997). Distributed neural systems underlying the timing of movements. Journal of Neuroscience, 17, 5528-5535.
56. Reddi, B. A., & Carpenter, R. H. (2000). The influence of urgency on decision time. Nature Neuroscience, 3, 827-830.
57. Ron, S., Schmid, R., & Orpaz, D. (1989). Applying a model of saccadic prediction to patients' saccadic eye movements. Brain Behavior and Evolution, 33, 179-182.
58. Ross, S. M., & Ross, L. E. (1987). Children's and adults' predictive saccades to square wave targets. Vision Research, 27, 2177-2180.
59. Savizky, A., & Golay, M. J. E. (1964). Smoothing and differentiation of data by simplified least squares procedures. Analytical Chemistry, 38, 1627-1639.
60. Schlerf, J. E., Verstynen, T. D., & Ivry, R. B. (2006). fMRI measurements of the cerebellar response to nonrhythmic movements. Program no. 653.17. 2006 Neuroscience Meeting Planner. Atlanta, GA: Society for Neuroscience (Abstract).
61. Schmid, R., & Ron, S. (1986). A model of eye tracking periodic square wave target motion. Biological Cybernetics, 54, 179-188.
62. Schöner, G. (2002). Timing, clocks, and dynamical systems. Brain and Cognition, 48, 31-51.
63. Schöner, G., Haken, H., & Kelso, J. A. (1986). A stochastic theory of phase transitions in human hand movement. Biological Cybernetics, 53, 247-257.
64. Schulze, H-H. (1992). The error correction model for the tracking of a random metronome: Statistical properties and an empirical test. In F. Macar & W. J. Friedman (Eds.), Time, action and cognition. Towards bridging the gap (vol. 66, pp. 275-286). Dordrecht: Kluwer.
65. Shelhamer, M. (2005). Sequences of predictive saccades are correlated over a span of ∼2 s and produce a fractal time series. Journal of Neurophysiology, 93, 2002-2011.
66. Shelhamer, M., & Joiner, W. M. (2003). Saccades exhibit abrupt transition between reactive and predictive; predictive saccade sequences have long-term correlations. Journal of Neurophysiology, 90, 2763-2769.
67. Sigman, M., & Dehaene, S. (2005). Parsing a cognitive task: A characterization of the mind's bottleneck. PLoS Biology, 3, 334-349.
68. Simó, L. S., Krisky, C. M., & Sweeney, J. A. (2005). Functional neuroanatomy of anticipatory behavior: Dissociation between sensory-driven and memory-driven systems. Cerebral Cortex, 15, 1982-1991.
69. Stark, L., Vossius, G., & Young, L. R. (1962). Predictive control of eye tracking movements. IRE Transactions on Human Factors and Electronics HFE, 3, 52-57.
70. Tian, J. R., Zee, D. S., Lasker, A. G., & Folstein, S. E. (1991). Saccades in Huntington's disease: Predictive tracking and interaction between release of fixation and initiation of saccades. Neurology, 41, 875-881.
71. Treisman, M. (1963). Temporal discrimination and the indifference interval. Implications for a model of the "internal clock". Psychology Monographs 77, 1-31.
72. Ventre, J., Zee, D. S., Papageorgiou, J., & Reich, S. (1992). Abnormalities of predictive saccades in Hemi-Parkinson's disease. Brain, 115, 147-165.
73. Vorberg, D., & Wing, A. (1996). Modelling variability and dependence in timing. In H. Heuer & S. W. Keele (Eds.), Handbook of perception and action (vol. 2, pp. 181-262). San Diego, CA: Academic.
74. Vos, P. G., & Hlsper, E. L. (1992). Tracking simple rhythms: On-beat versus off-beat performance. In F. Macar & W. J. Friedman (Eds.), Time, action and cognition. Towards bridging the gap (vol. 66, pp. 287-299). Dordrecht: Kluwer.
75. Wagenmakers, W-J., Farrell, S., & Ratcliff, R. (2004). Estimation and interpretation of 1/f a noise in human cognition. Psychonomic Bulletin & Review, 11, 579-615.
76. Wing, A., Daffertshofer, A., & Pressing, J. (2004). Multiple time scales in serial production of force: A tutorial on power spectral analysis of motor variability. Human Movement Science, 23, 569-590.
77. Wing, A. M., Keele, S., & Margolin, D. I. (1984). Motor disorder and the timing of repetitive movements. Annals of the New York Academy of Sciences, 423, 183-192.
78. Wing, A. M., & Kristofferson, A. B. (1973a). Response delays and the timing of discrete motor responses. Perception and Psychophysics, 14, 5-12.
79. Wing, A. M., & Kristofferson, A. B. (1973b). The timing of interresponse intervals. Perception and Psychophysics, 13, 455-460.
80. Woodrow, H. (1930). The reproduction of temporal intervals. Journal of Experimental Psychology, 13, 473-499.
81. Zambarbieri, D., Schmid, R., & Ventre, J. (1987). Saccadic eye movements to predictable visual and auditory targets. In J. K. O'Regan & A. Levy-Schoen (Eds.), Eye movements: From physiology to cognition (pp. 131-140). North Holland: Elsevier.
82. Zorn, A., Joiner, W. M., Lasker, A. G., & Shelhamer, M. (2007). Sensory versus motor information in the control of predictive saccade timing. Experimental Brain Research, 179, 505-515.