PWPatrick E. Williams

Patrick E. Williams

*This is an algorithmically generated author record based on publicly available information.

Current Organizations / Institutes

The organizations/institutes from the scholar's latest article


Patrick E. Williams has a total of 5 co-authors. Here are the top co-authors by number of shared publications:

  • Ferenc Mechler

    New York University Center for Neural Science, New York, New York 10003, 2Department of Neurology and Neuroscience, Cornell University Medical College, and 3Department of Psychology, Hunter College, City University of New York, New York, New York 10021

    1 shared publication
  • James Gordon

    New York University Center for Neural Science, New York, New York 10003, 2Department of Neurology and Neuroscience, Cornell University Medical College, and 3Department of Psychology, Hunter College, City University of New York, New York, New York 10021

    1 shared publication
  • Michael J. Hawken

    New York University Center for Neural Science, New York, New York 10003, 2Department of Neurology and Neuroscience, Cornell University Medical College, and 3Department of Psychology, Hunter College, City University of New York, New York, New York 10021

    1 shared publication
  • Robert M. Shapley

    1 shared publication
  • Robert Shapley

    New York University Center for Neural Science, New York, New York 10003, 2Department of Neurology and Neuroscience, Cornell University Medical College, and 3Department of Psychology, Hunter College, City University of New York, New York, New York 10021

    1 shared publication

Latest Publications

  • Open Access

    A Dynamic Nonlinearity and Spatial Phase Specificity in Macaque V1 Neurons

    by Patrick E. Williams, Robert M. Shapley

    While studying the visual response dynamics of neurons in the macaque primary visual cortex (V1), we found a nonlinearity of temporal response that influences the visual functions of V1 neurons. Simple cells were recorded in all layers of V1; the nonlinearity was strongest in neurons located in layer 2/3. We recorded the spike responses to optimal sinusoidal gratings that were displayed for 100 ms, a temporal step response. The step responses were measured at many spatial phases of the grating stimulus. To judge whether simple cell behavior was consistent with linear temporal integration, the decay of the 100 ms step response at the preferred spatial phase was used to predict the step response at the opposite spatial phase. Responses in layers 4B and 4C were mostly consistent with a linear-plus-static-nonlinearity cascade model. However, this was not true in layer 2/3 where most cells had little or no step responses at the opposite spatial phase. Many layer 2/3 cells had transient preferred-phase responses but did not respond at the offset of the opposite-phase stimuli, indicating a dynamic nonlinearity. A different stimulus sequence, rapidly presented random sinusoids, also produced the same effect, with layer 2/3 simple cells exhibiting elevated spike rates in response to stimuli at one spatial phase but not 180° away. The presence of a dynamic nonlinearity in the responses of V1 simple cells indicates that first-order analyses often capture only a fraction of neuronal behavior. The visual implication of our results is that simple cells in layer 2/3 are spatial phase-sensitive detectors that respond to contrast boundaries of one sign but not the opposite.


  • Open Access

    Entrainment to Video Displays in Primary Visual Cortex of Macaque and Humans

    by Patrick E. Williams, Ferenc Mechler, James Gordon, Robert Shapley, Michael J. Hawken

    Cathode ray tubes (CRTs) display images refreshed at high frequency, and the temporal waveform of each pixel is a luminance impulse only a few milliseconds long. Although humans are perceptually oblivious to this flicker, we show in V1 in macaque monkeys and in humans that extracellularly recorded action potentials (spikes) and visual-evoked potentials (VEPs) align with the video impulses, particularly when high-contrast stimuli are viewed. Of 91 single units analyzed in macaque with a 60 Hz video refresh, 29 cells (32%) significantly locked their firing to a uniform luminance display, but their number increased to 75 (82%) when high-contrast stimuli were shown. Of 92 cells exposed to a 100 Hz refresh, 21 (23%) significantly phase locked to high-contrast stimuli. Phase locking occurred in both input and output layers of V1 for simple and complex cells, regardless of preferred temporal frequency. VEPs recorded in humans showed significant phase locking to the video refresh in all seven observers. Like the monkey neurons, human VEPs more typically phase locked to stimuli containing spatial contrast than to spatially uniform stimuli. Phase locking decreased when the refresh rate was increased. Thus in humans and macaques phase locking to the high strobe frequency of a CRT is enhanced by a salient spatial pattern, although the perceptual impact is uncertain. We note that a billion people worldwide manage to watch TV without obvious distortion of their visual perception despite extraordinary phase locking of their V1s to a 50 or 60 Hz signal.