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Volume 17, Number 21,
Issue of November 1, 1997
pp. 8621-8644
Copyright ©1997 Society for Neuroscience
Linearity and Normalization in Simple Cells of the Macaque
Primary Visual Cortex
Received May 29, 1997; revised Aug. 20, 1997; accepted Aug. 22, 1997.
Matteo Carandini1,
David J. Heeger2, and
J.
Anthony Movshon1
1 Howard Hughes Medical Institute and Center for Neural
Science, New York University, New York, New York 10003, and
2 Department of Psychology, Stanford University, Stanford,
California 94305
Simple cells in the primary visual cortex often appear to compute a
weighted sum of the light intensity distribution of the visual stimuli
that fall on their receptive fields. A linear model of these cells has
the advantage of simplicity and captures a number of basic aspects of
cell function. It, however, fails to account for important response
nonlinearities, such as the decrease in response gain and latency
observed at high contrasts and the effects of masking by stimuli that
fail to elicit responses when presented alone. To account for these
nonlinearities we have proposed a normalization model, which extends
the linear model to include mutual shunting inhibition among a large
number of cortical cells. Shunting inhibition is divisive, and its
effect in the model is to normalize the linear responses by a measure
of stimulus energy. To test this model we performed extracellular
recordings of simple cells in the primary visual cortex of anesthetized
macaques. We presented large stimulus sets consisting of (1) drifting
gratings of various orientations and spatiotemporal frequencies; (2)
plaids composed of two drifting gratings; and (3) gratings masked by full-screen spatiotemporal white noise. We derived expressions for the
model predictions and fitted them to the physiological data. Our
results support the normalization model, which accounts for both the
linear and the nonlinear properties of the cells. An alternative model,
in which the linear responses are subject to a compressive
nonlinearity, did not perform nearly as well.
Key words:
visual cortex;
contrast;
nonlinearity;
gain control;
normalization;
masking;
noise
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