A model is presented for the early (retinal) stages of
temporal processing of light inputs in the visual system.
The model consists of a sequence of three adaptation processes,
with two instantaneous nonlinearities in between. The three
adaptation processes are, in order of processing of the
light input: a divisive light adaptation, a subtractive
light adaptation, and a contrast gain control. Divisive
light adaptation is modeled by two gain controls. The first
of these is a fast feedback loop with square-root behavior,
the second a slow feedback loop with logarithm-like behavior.
This can explain several aspects of the temporal behavior
of photoreceptor outputs. Subtractive light adaptation
is modeled by a high-pass filter equivalent to a fractional
differentiation, and it can explain the attenuation of
low frequencies observed in ganglion cell responses. Contrast
gain control in the model is fast (Victor, 1987), and can
explain the decreased detectability of test signals that
are superimposed on dynamic backgrounds. We determine psychophysical
detection thresholds for brief test pulses that are presented
on flickering backgrounds, for a wide range of temporal
modulation frequencies of these backgrounds. The model
can explain the psychophysical data for the full range
of modulation frequencies tested, as well as detection
thresholds obtained for test pulses on backgrounds with
increment and decrement steps in intensity.