Modeling spatial integration in the ocular following response using a probabilistic framework
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 Laurent Perrinet, Guillaume S. Masson. Modeling spatial integration in the ocular following response using a probabilistic framework, URL . Journal of Physiology (Paris), 2007 abstract .
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Figure Stimuli used for testing OFR. (Left) Grating in a disk aperture with varying contrast and (Middle) with varying diameters. (Right) Barberpole. 

Figure 1 Basic properties of human OFR. Several properties of motion integration for driving ocular following as summarized from our previous work. (a) A leftward drifting grating elicits a brief acceleration of the eye in the leftward direction. Mean eye velocity proﬁles illustrate that both response amplitude and latency are affected by the contrast of the sinewave grating, given by numbers at the rightend of the curves. Quantitative estimates of the sensorimotor transformation are given by measuring the response amplitude (i.e. change in eye position) over a ﬁxed time window, at response onset. Relationships between (b) response latency or (c) initial amplitude and contrast are illustrated for the same grating motion condition. These curves deﬁne the contrast response function (CRF) of the sensorimotor transformation and are best ﬁtted by a Naka–Rushton function (reprinted from (Barthélemy et al., 2007)). (d) At ﬁxed contrast, the size of the circular aperture can be varied to probe the spatial summation of OFR. Clearly, response amplitude ﬁrst linearly grows up with stimulus size before reaching an optimal size, the integration zone. For larger stimulus sizes, response amplitudes are lowered (reprinted from (Barthélemy et al., 2006)). (e) OFR are recorded for centeralone and center–surround stimuli. The contrast of the center stimulus is varied to measure the contrast response function and compute the contrast gain of the sensorimotor transformation at both an early and a late phase during response onset. Open symbols are data obtained for a centeralone stimulus, similar to those illustrated in (c). When adding a ﬂickering surround, ones can see that late (but not early) contrast gain is lowered, as illustrated by a rightward shift of the contrast response function (Barthélemy et al., 2006). 

This work was supported by European integrated project FP6015879, "FACETS". 
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