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2, and the display was refreshed at 75 Hz. Action potentials from isolated single units were recorded with 0.1-ms accuracy. All receptive fields lay within 3° of the center of the fovea. Simple and complex cells were distinguished by their responses to moving gratings.
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A rapidly decaying response to a step stimulus implies low sensitivity to low temporal frequencies of stimulation, and this is found [M. J. Hawken, R. M. Shapley, D. H. Grosof, Vis. Neurosci. 13, 477 (1996)]. Nonlinearities in the behavior of cortical neurons make the decay of responses to steps even more rapid than would be expected from the temporal modulation transfer function [D. J. Tothurst, N. S. Walker, I. D. Thompson, A. F. Dean, Exp. Brain Res. 38, 431 (1980); F. S. Chance, S. B. Nelson, L. F. Abbott, J. Neurosci. 18, 4785 (1998)].
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The median time-constant of recovery of sensitivity in our sample of cells was 6 s. The median time-constant of desensitization was less than 100 ms.
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In six of eight neurons in which we compared the desensitization brought about by stationary and counterphase flickering gratings, the counterphase adapter was at least as effective as the stationary one.
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At the beginning of each trial lasting 1.75 s, an adapting grating (or a blank field) was presented for 0.5 s. This was followed after 215 ms (Fig. 2A) or 27 ms (Fig. 2B) by a 94-ms presentation of a test grating at one of 10 orientations (0°, ±7°, ±14°, ±21°, ±28°, or +90°), or by nothing. Discharge rate was calculated from the whole response to the test grating. Gratings had optimal spatial frequency, size, and position, and 100% contrast In successive trials the different adapting and test grating pairs were randomly interleaved, and each such trial was repeated 40 times. When no grating was visible, the screen displayed a spatially uniform field of the average luminance.
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i of the responses to stimuli with orientations i ∈ [0°, ±7°, ±14°, ±21°, ±28°]. For sharply (and symmetrically) tuned neurons with half-width <28° this is exactly the preferred orientation. For all neurons it increases monotonically with preferred orientation. The average neuron's center-of-mass changed by 1.5°.
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2 dx. This measure characterizes the performance of an ideal observer.
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Not much is known about this, but successive fixations are often close together [A. L. Yarbus, Eye Movements and Vision (Plenum, New York, 1967); A. T. Bahill, D. Adler, L. Stark, Invest. Ophthalmol. 14, 468 (1975)], and nearby image patches have correlated orientation and spatial frequency [E. P. Simoncelli and O. Schwartz, in Advances in Neural Information Processing Systems 11, M. S. Kearns, S. A. Solla, D. A. Cohn, Eds. (MIT Press, Cambridge, MA, 1999)].
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Not much is known about this, but successive fixations are often close together [A. L. Yarbus, Eye Movements and Vision (Plenum, New York, 1967); A. T. Bahill, D. Adler, L. Stark, Invest. Ophthalmol. 14, 468 (1975)], and nearby image patches have correlated orientation and spatial frequency [E. P. Simoncelli and O. Schwartz, in Advances in Neural Information Processing Systems 11, M. S. Kearns, S. A. Solla, D. A. Cohn, Eds. (MIT Press, Cambridge, MA, 1999)].
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We define redundancy in the population's response (ψ) due to each probe orientation (θ) relative to the adapting orientation by ψ(θ) = ∑ All cells Resp(cell A,θ)·Resp(cell B,θ)/Number of cell pairs the average, unnormalized, point-by-point product of the responses of all pairs of neurons. This is an intermediate stage in the calculation of the cross-correlation. To establish how adaptation reduces the redundancy among responses, we calculate ψ before and after adaptation, for probes at a range of orientations. We treat every neuron as if it had been adapted to the pattern at orientation 0°.
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H. Markram and M. Tsodyks, Nature 382, 807 (1996); F. S. Chance, S. B. Nelson, L. F. Abbott, J. Neurosci. 18, 4785 (1998); L. F. Abbott, J. A. Varela, K. Sen, S. B. Nelson, Science 275, 220 (1997).
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Abbott, L.F.1
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note
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A surrounding grating brought about significant changes in orientation tuning in almost half of the complex cells we studied.
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note
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All animal procedures were approved by the University of Rochester committee for the care and use of laboratory animals. Funded by NIH grants EY04440, EY01319, EY06638, and EY07125.
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