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The Journal of Neuroscience, April 1, 2003, 23(7):2645
Different Circuits for ON and OFF Retinal Ganglion Cells Cause
Different Contrast Sensitivities
Kareem A.
Zaghloul1,
Kwabena
Boahen2, and
Jonathan B.
Demb1
Departments of 1 Neuroscience and
2 Bioengineering, University of Pennsylvania, Philadelphia,
Pennsylvania 19104-6058
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ABSTRACT |
The theory of "parallel pathways" predicts that, except for a
sign reversal, ON and OFF ganglion cells are driven by a similar presynaptic circuit. To test this hypothesis, we measured synaptic inputs to ON and OFF cells as reflected in the subthreshold membrane potential. We made intracellular recordings from brisk-transient (Y)
cells in the in vitro guinea pig retina and show that ON
and OFF cells in fact express significant asymmetries in their synaptic inputs. An ON cell receives relatively linear input that modulates a
single excitatory conductance; whereas an OFF cell receives rectified
input that modulates both inhibitory and excitatory conductances. The
ON pathway, blocked by L-AP-4, tonically inhibits an OFF
cell at mean luminance and phasically inhibits an OFF cell during a
light increment. Our results suggest that basal glutamate release is
high at ON but not OFF bipolar terminals, and inhibition between
pathways is unidirectional: ON OFF. These circuit asymmetries explain asymmetric contrast sensitivity observed in spiking behavior.
Key words:
white noise; linear-nonlinear model; receptive
field center; APB; photopic vision; cell
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Introduction |
ON and OFF ganglion cells form
parallel pathways whose signals are relayed through the lateral
geniculate nucleus (LGN) of the thalamus and ultimately converge onto
the same cortical cell (Schiller, 1992 ). The balance between ON and OFF
cells can be disturbed by injecting L-AP-4 into the eye to
hyperpolarize ON bipolar cells and therefore to block the output of ON
ganglion cells (Shiells et al., 1981 ; Slaughter and Miller, 1981 ;
Schiller, 1982 ). ON pathway blockade alters the receptive field
properties of cortical cells and reduces psychophysical sensitivity to
contrast, especially for a stimulus brighter than the background
(Schiller, 1982 ; Sherk and Horton, 1984 ; Schiller et al., 1986 ; Dolan
and Schiller, 1994 ). Thus, the receptive field of a cortical cell and
visual behavior depend on cooperation between ON and OFF pathways.
A common assumption is that ON and OFF pathways are opposite in sign
but otherwise equal in kinetics and sensitivity, i.e., truly
"parallel." Consistent with the "parallel pathways" notion, ON
and OFF cells of a given type (e.g., brisk-transient) show similar
kinetics in their impulse response function (Devries and Baylor, 1997 ;
Benardete and Kaplan, 1999 ; Keat et al., 2001 ; Chichilnisky and Kalmar,
2002 ). However, ON and OFF cells differ in other properties. For
example, under cone-driven conditions, an ON cell fires spontaneously at a higher rate than an OFF cell (Cleland et al., 1973 ; Kaplan et al.,
1987 ; Troy and Robson, 1992 ; Passaglia et al., 2001 ; Chichilnisky and
Kalmar, 2002 ) (but see Troy and Lee, 1994 ). Furthermore, in primate
(magnocellular pathway), an ON cell responds to both an increment and
decrement of low contrast (relative to mean luminance); whereas an OFF
cell responds only to a decrement of relatively high contrast
(Chichilnisky and Kalmar, 2002 ). This asymmetry in contrast sensitivity
suggests that, at low contrast, a cortical cell would be driven almost
exclusively by the ON pathway.
Our goal was to discover the cellular mechanisms that cause the
asymmetry in ON and OFF cell contrast sensitivity. We measured synaptic
inputs to ganglion cells as reflected in the subthreshold membrane
potential; these voltage measurements are influenced by intrinsic
properties, but we expect little or no difference between ON and OFF
cell intrinsic properties (O'Brien et al., 2002 ). We recorded
intracellularly from ON and OFF brisk-transient ganglion cells in the
guinea pig retina in vitro. We stimulated with white noise
and brief contrast flashes. Guinea pig cells displayed the same ON-OFF
asymmetry found in primate (Chichilnisky and Kalmar, 2002 ); an OFF cell
alone showed strongly rectified spike output at low contrast. We
proceeded to determine how this output rectification related to
rectification in the membrane potential, as well as possibly distinct
mechanisms for inhibition. In experiments using
L-AP-4, we reveal a circuit that underlies the
control of OFF cell spike output. This circuit involves "cross talk" from the ON pathway in the form of both tonic and phasic inhibition. This cross talk was not reciprocated by the OFF pathway.
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Materials and Methods |
Intracellular recording. From a guinea pig
anesthetized with ketamine (100 mg/kg), xylazine (20 mg/kg), and
pentobarbital (150 mg/kg), both eyes were removed, after which the
animal was killed by anesthetic overdose (in accordance with University
of Pennsylvania and National Institutes of Health guidelines). The whole retina, including the pigment epithelium, choroid, and sclera, was mounted flat in a chamber on a microscope stage. Retina was superfused (~4 ml/min) with oxygenated (95% O and 5%
CO2) Ames medium (Sigma, St. Louis,
MO) at 32-36°C. A glass electrode (tip resistance, 80-200 M ),
filled with 1% pyranine (Molecular Probes, Eugene, OR) in
2 M potassium acetate, was used to penetrate the largest somas (diameter, 20-25 µm) in the visual streak, 2.6 ± 0.9 mm (mean ± SD) from the optic disk.
L-2-Amino-4-phosphonobutyric acid
(L-AP-4) and lidocaine N-ethyl bromide
(QX-314) were purchased from Research Biochemicals
(Natick, MA).
Membrane potential was amplified, continuously sampled at 5 kHz, and
stored on computer as previously described (Demb et al., 1999 ,
2001a ,b ). We wrote programs in Matlab (The Mathworks,
Natick, MA) to analyze responses separately in the spike rate and
subthreshold membrane potential. Spikes were detected off-line (Demb et
al., 1999 ). Membrane potential was analyzed after removing spikes
computationally: we performed a linear interpolation of the membrane
potential between 1 msec before and 1-4 msec after each spike (Fig.
1A). To remove high-frequency noise, membrane
responses were low-pass-filtered by convolving with a Gaussian (SD, 3 msec or 53 Hz). The resting potential was determined by averaging the
potential before and after a stimulus. For the responses to 17 and 100 msec pulses, responses were averaged over 5-60 repeats. Average spike
responses (poststimulus time histogram) were binned at the frame rate
(16.7 msec). The receptive field of each cell showed a
"center-surround" organization (i.e., opposite sign responses to a
spot; diameter, 500 µm; and annulus; inner and outer diameters, 740 and 2000 µm) and a frequency-doubled spiking response to a
contrast-reversing grating (spatial frequency, 4.3 cycles/mm).
Visual stimulus. The stimulus was displayed on a miniature
monochrome computer monitor (Lucivid MR1-103;
Microbrightfield, Colchester, VT) projected through the
top port of the microscope through a 2.5× objective and focused on the
photoreceptors (mean luminance, ~105
isomerizations/cone/sec; resolution, 852 × 480 pixels; 60Hz
vertical refresh). The relationship between gun voltage and monitor
intensity was linearized in software with a look-up table. Light and
dark flashes were defined by Weber contrast:
(Iflash Imean)/Imean, where Iflash is the flash intensity,
and Imean is the luminance of the gray
screen between flashes, set at the middle of the intensity range (i.e.,
contrast range, 1.0-1.0). Periodic stimuli were defined by percent
Michelson contrast: 100 × (Imax
- Imin)/(Imax + Imin), where
Imax and
Imin are the peak and trough
intensities (range, 0-100%). Stimuli were programmed in Matlab using
extensions provided by the high-level Psychophysics Toolbox (Brainard,
1997 ) and the low-level Video Toolbox (Pelli, 1997 ).
White noise stimulus and analysis. To characterize the
temporal response of a cell and to measure contrast sensitivity, we used a 2 min white noise modulation of a 500-µm-diameter spot centered over the cell body (Fig. 1) (Marmarelis and Marmarelis, 1978 ;
Sakai and Naka, 1987 ). On each frame, the spot intensity was drawn from
a Gaussian distribution (mean, 0; range, -1.0 to +1.0). Stimulus
contrast is defined by the Gaussian SD; here, we used a near-maximal
contrast of SD = 0.30 (range, ±3.3 SDs). In a representative
sample of cells (n = 9), there was an ~20% drop in
spike rate across the first 20 sec (<20% of stimulus duration); this
was more similar to the effect observed in primate than salamander (Smirnakis et al., 1997 ; Brown and Masland, 2001 ; Chander and Chichilnisky, 2001 ; Kim and Rieke, 2001 ). We compared the analysis of
the full 2 min to the last 90 sec; we did not find a significant effect
of removing the first 30 sec, so we analyzed the full 2 min.
We analyzed the response using a linear-nonlinear (L-NL) model
described in detail previously (Fig. 1) (Victor, 1987 ; Chander and
Chichilnisky, 2001 ; Chichilnisky, 2001 ; Kim and Rieke, 2001 ; Rieke,
2001 ; Baccus and Meister, 2002 ; Demb, 2002 ). All equations were
identical to those used in previous studies (Chander and Chichilnisky,
2001 ; Chichilnisky, 2001 ; Kim and Rieke, 2001 ). The L filter was
calculated by cross-correlating the stimulus and response and was
synced to the onset of the frame (rather than the offset of the frame,
16.7 msec later). For both spike and voltage responses, convolving the
L filter with the stimulus generates an L model of the response. We
generated an NL "input-output" function by plotting the L model
(the input) versus the measured response (the output) at each point in
time. We fit a smooth curve through the binned points (bin, 1.5 sec).
For the spike NL function, we fit with a Gaussian cumulative
distribution function (CDF), which provides a reasonable description
(Chander and Chichilnisky, 2001 ; Chichilnisky, 2001 ; Chichilnisky and
Kalmar, 2002 ). For the membrane NL function, we fit with two CDFs, one
for responses to negative contrast and one for responses to positive
contrast; this was necessary for fitting the NL function of an OFF cell.
In several cells, we formally tested the predictive value of the model
(n = 4 ON and 6 OFF cells). We first constructed an L-NL model for the cell, based on the response to a 2 min stimulus, and then used the model to predict the response to a 5 sec stimulus (repeated 20 times). For comparison with future studies, we offer two
benchmarks of how well the model performs. One benchmark is the
correlation between the average response to the 5 sec trial (averaged
to reduce noise) and the predicted 5 sec response from the model; this
represents the amount of variance explained by the model. For spikes,
r2 = 0.67 ± 0.04 (mean ± SEM; best case,
r2 = 0.79); for membrane
potential, r2 = 0.88 ± 0.02 (best case, r2 = 0.95).
A second benchmark is the predictability of a single trial response
based on the maximum likelihood estimate (i.e., the average of the
other 19 trials or "repeat prediction") versus the model prediction
(Chichilnisky, 2001 ). For spikes, repeat prediction root mean squared
(RMS) error was 0.31 ± 0.02 spikes per bin; model prediction RMS
error was 0.38 ± 0.03 spikes per bin. For membrane potential,
repeat prediction RMS error was 1.05 ± 0.11 mV; model prediction
RMS error was 1.44 ± 0.11 mV.
We assumed that the L filter primarily reflects the response in
presynaptic neurons and should therefore not be affected by polarizing
the ganglion cell with current (Rieke, 2001 ). In cases in which we
polarized the cell, we normalized the L filter measured under current
injection so that the peak amplitude matched the L filter in the
control condition. The L filter under control and current injection
conditions virtually superimposed; then, the NL function was scaled
accordingly (along the x-axis) to keep the model output
constant (Chander and Chichilnisky, 2001 ; Kim and Rieke, 2001 ).
Current injection. In some experiments, steady current was
injected through the pipette to determine whether responses were driven
primarily by EPSPs (i.e., responses would decrease with depolarizing
current and vice versa) or IPSPs (i.e., responses would increase with
depolarizing current and vice versa). In most of these experiments,
QX-314 (50 mM) was added to the pipette solution
to block action potentials that would obscure the membrane response
(Connors and Prince, 1982 ). The bridge on the amplifier was balanced
before penetrating a cell. In addition, voltage responses were
corrected for any unbalanced increase in electrode resistance after
penetration by subtracting an I-V curve obtained
immediately after the electrode was withdrawn from the cell (Ashmore
and Copenhagen, 1983 ).
While injecting current, we measured the membrane potential and a light
response (deviation from baseline). We fit a line (linear regression)
through the membrane potential versus response plot and estimated the
reversal potential as the x-intercept (see below). Using
sharp electrodes, one polarizes the soma and central dendrites to a
greater extent than the peripheral dendrites. Thus, to interpret the
measured reversal potentials, several points are worth considering.
First, synaptic inputs to a ganglion cell lie on the dendrites, not the
soma, and the distribution of dendritic membrane is "dome-like"
with most membrane concentrated near the soma (Kier et al., 1995 );
thus, most synapses lie on dendrites under the best control. Second,
excitatory and inhibitory inputs are both distributed uniformly along
the dendrites (Freed and Sterling, 1988 ; Kolb and Nelson, 1993 ;
Weber and Stanford, 1994 ; Kier et al., 1995 ); thus, estimates for
reversal potentials of excitatory and inhibitory conductances are
similarly affected by electrotonic distance from the soma. In general,
the actual reversal potential in the dendrite should lie between the
reversal potential measured in the soma and the resting potential
(Vrest) of the cell. Our main conclusions,
represented in the model (see Discussion), are unaffected by this type
of error in the reversal potential estimates.
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Results |
Basic properties of ON and OFF cells
From the visual streak, we recorded from 17 ON and 30 OFF
brisk-transient (Y) cells. All showed the signature properties: a
center-surround receptive field and a frequency-doubled spiking response to a contrast-reversing grating (see Materials and Methods; Enroth-Cugell and Robson, 1966 ; Hochstein and Shapley, 1976 ; Demb et
al., 2001a ; Levitt et al., 2001 ). In recordings with standard K+-acetate electrodes, the resting
potential (Vrest) of an ON cell was -58.9 ± 1.8 mV (mean ± SEM; n = 13); whereas the
Vrest of an OFF cell was -62.3 ± 1.5 mV
(n = 19; p > 0.10). The maintained firing rate of an ON cell was 18.4 ± 3.8 Hz; whereas the rate of
an OFF cell was significantly lower, 6.6 ± 1.3 Hz
(p < 0.01).
White noise stimulation and analysis quantifies the temporal and
contrast sensitivity of a cell
We presented a spot modulated with intensities drawn from a
Gaussian distribution (white noise; see Materials and Methods). In
response, the membrane potential of a cell fluctuated about Vrest with ~50-100 msec depolarizations and
single spikes or bursts of spikes riding on the depolarizations (Fig.
1A). We analyzed the
response, separately for membrane potential and spikes, using a model
that includes two stages: an L filter followed by a static (or
instantaneous) NL (L-NL model; see Materials and Methods; Victor,
1987 ; Chichilnisky, 2001 ; Kim and Rieke, 2001 ). The L filter emphasizes
certain temporal frequencies in the stimulus; thus it provides a
measure of temporal sensitivity. The NL function shows the gain (slope)
at each contrast; thus it provides a measure of contrast sensitivity.
The L-NL model provides a close approximation to the measured response
and could account for ~88% of the variance in the membrane and
~67% of the variance in the spikes (see Materials and Methods).

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Figure 1.
White noise stimulation and analysis.
A, A spot covering the receptive field center of a cell
modulated with intensities drawn from a Gaussian distribution (white
noise; 16.7 msec frame). The top trace shows 300 msec of
baseline response followed by 1 sec of white noise response. The
bottom trace shows the 1 sec white noise response after
removing spikes and filtering (see Materials and Methods).
B, An L-NL model was used to analyze the response to
white noise. Stimulus is convolved with a L filter to generate an L
model of the response. The L model is passed through a static
nonlinearity to generate an L-NL model of the response. The L filter
reflects the temporal sensitivity of a cell; the NL function reflects
the contrast sensitivity of a cell (see Results). Analysis was
performed separately for subthreshold voltages
(membrane) and spike rate (spikes). For
comparison with the L-NL model, membrane and spike traces are average
responses to 20 repeats (averaged to reduce noise; 700 msec shown of a
5 sec stimulus presentation). Filter units are in millivolt contrast
per second (membrane filter) or spike rate contrast per second (spike
filter). sp, Spikes.
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Under our conditions (photopic mean luminance and high contrast), the
average ON and OFF L filters were opposite in sign but otherwise nearly
equal (Fig. 2A,B), as
shown previously (Devries and Baylor, 1997 ; Benardete and Kaplan,
1999 ). Variability across cells in peak timing was comparable with that
found in primate parasol cells (spike L filter peak time, SD = 8 msec for ON and 5 msec for OFF; cf. Chichilnisky and Kalmar, 2002 ,
their Fig. 9).

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Figure 2.
Relative to an ON cell, an OFF cell receives more
rectified synaptic input and transmits more rectified spike output.
A, Membrane L filter and NL function for representative
cells and the populations. The NL function of the ON cell reaches
positive and negative amplitudes of similar extents, whereas that of
the OFF cell reaches a maximum negative amplitude that is only half the
maximum positive amplitude (i.e., rectification). For the L filter,
response amplitude is normalized to the peak of the primary lobe (+1
for ON and -1 for OFF). For the NL input-output function, input is
normalized from -1 to + 1; output is normalized so that the predicted
response at 0 contrast is 0, and the maximum depolarization is 1. For
single-cell NL functions, circles represent binned data
points; the solid line represents a fit (see Materials
and Methods). The shaded area around the average NL
function represents ±SEM. An ON cell was slightly but significantly
more biphasic (amplitude of peak to undershoot) than an OFF cell for
both spike and membrane responses (p
<0.05). B, Same format as in A for
spikes. At low contrast (i.e., small values of input), an ON cell is
nearly linear, whereas an OFF cell is strongly rectified. For both an
ON and OFF cell, the spike L filter was more biphasic than the membrane
L filter (p <0.01), consistent with high-pass
filtering (Lankheet et al., 1989 ; Demb et al., 2001b ).
C, Population NL input-output functions plotted with
raw response amplitudes (output). For both membrane and
spikes, an OFF cell expresses a wider response range than an ON cell
(p < 0.01). D, For both
membrane and spikes, the NL index was significantly higher for OFF
cells (p < 0.001). The scatter plot
illustrates a significant correlation between the membrane and spike NL
indices (p < 0.01). NL index of
0 indicates a linear response.
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Relative to an ON cell, an OFF cell receives more rectified
synaptic input and transmits more rectified spike output
For both spikes and membrane potential, ON and OFF cells express
distinct contrast sensitivities, as measured in the NL function. Key
differences are observed at low contrast, reflected by moderate input
levels ( 0.5 to +0.5 normalized units; Fig. 2A,B).
For the membrane potential, the NL function of an ON cell was nearly
linear, whereas the NL function of an OFF cell was rectifying at
negative amplitudes (Fig. 2A). For spikes, the NL
function of an ON cell was mildly rectifying at negative amplitudes,
whereas the NL function of an OFF cell was strongly rectifying (Fig.
2B). We quantified the difference in the NL function
between ON and OFF cells using an NL index (Fig. 2D).
For both membrane potential and spikes, the NL index was higher for an
OFF cell than for an ON cell (p < 0.001). Thus,
an ON cell responds to both an increment and decrement of low contrast,
whereas an OFF cell responds only to a decrement of relatively high contrast.
To compare differences in absolute response range, we plotted the
average NL function with original units of output (millivolts or spikes
per second). For both membrane potential and spikes, an OFF cell uses a
wider response range (Fig. 2C). Thus, an OFF cell requires
relatively high contrast to begin spiking, but its range of voltage
responses (13.7 ± 0.8, mean ± SEM) is higher than for an ON
cell (9.1 ± 1.2 mV; p < 0.01), and its peak
spike rate (120 ± 11 Hz) is higher than for an ON cell (71 ± 9 Hz; p < 0.01).
Across all cells, the membrane NL index correlated with the spike NL
index. The correlation was significant when comparing the slopes at
many ranges of input for the NL function; one representative range is
plotted here, +0.5 to 0.1 (r = 0.76;
p < 0.01; Fig. 2D). At this range,
there was a significant correlation within the population of OFF cells
alone (r = 0.69; p < 0.01). Thus, rectification in the synaptic inputs of a cell relates to rectification in the spiking output of the cell.
Response to a brief contrast flash is more rectifying for an OFF
cell than for an ON cell
We took a second approach to compare ON and OFF cell rectification
using a stimulus and analysis that did not require a model. Relative to
a gray background, a spot over the dendritic tree was flashed for a
single frame (16.7 msec) at each of several positive and negative
contrasts spanning the full range (Fig. 3). The initial response, before the
onset of adaptational processes, should reflect the instantaneous
response gain. We took the average response at 33-50 msec, but a
similar result was obtained when plotting other ranges (e.g., 17-50,
17-67, and 33-67 msec).

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Figure 3.
Response to a brief flash confirms that an OFF
cell rectifies more than an ON cell. A, Flash response
of a representative ON and OFF cell. Traces at
top show the membrane response to light flashes
increasing to twice the mean luminance (thin lines) and
dark flashes decreasing to 0 (thick lines). Poststimulus
time histograms at bottom show the
corresponding spike response. The contrast-response function of each
cell is shown (inset, responses averaged over a 33-50
msec time window indicated by the gray stripe; average
of 15 flashes for both cells; stimulus was a 500-µm-diameter spot).
B, Population contrast-response functions for
normalized membrane potential and spike rate (mean ± SEM).
Responses were normalized to the peak depolarization or spike rate. For
comparison, population NL functions from Figure 2 are superimposed
(line with shaded area).
sp, Spikes.
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An ON cell responded nearly linearly in its membrane potential, whereas
an OFF cell responded with strong rectification at hyperpolarizing
responses (Fig. 3A). Both cells responded with rectification
in the spike rate, but an OFF cell responded with stronger
rectification (Fig. 3A). The population analysis gave the
same result (Fig. 3B). Furthermore, the population responses resemble the population NL functions from the white noise experiment (Fig. 2A,B). We conclude that an OFF cell rectifies
more than an ON cell in both its synaptic input and its spike output.
We next analyzed the responses at low contrast to quantify differences
between ON and OFF cell spike rates and to assess their relative
abilities to signal differences from the baseline response at mean
luminance (n = 6 for ON and OFF; Fig. 3). At the
smallest contrast of optimal sign (+0.2 for ON and -0.2 for OFF), an
ON cell fired spikes at a higher rate (36 ± 5 Hz, mean ± SEM) than an OFF cell (8 ± 3; p < 0.001). At the
smallest increment (+0.2), an ON cell responded significantly above its
baseline response (increase of 27 ± 7 Hz; p < 0.02); at the smallest decrement (-0.2), an ON cell responded
significantly below baseline (decrease of 3 ± 1 Hz;
p < 0.05). At the smallest decrement, an OFF cell
responded not significantly differently from baseline (increase of
5 ± 2 Hz; p < 0.10, trend); at the next largest
decrement (-0.4) an OFF cell responded significantly above baseline
(increase of 44 ± 15 Hz; p < 0.05). At the
lowest increment (+0.2), an OFF cell responded no differently from
baseline (decrease of 0 ± 1 Hz; p > 0.10). Thus,
an ON cell could signal a small increment or decrement in light
intensity, whereas an OFF cell could only weakly signal a small decrement.
ON and OFF cell differences in rectification of synaptic input
correspond to different mechanisms for inhibition
Greater rectification in an OFF cell can be explained by a
relatively weak hyperpolarizing response. This suggests a possible difference in inhibitory mechanisms between an ON and OFF cell. To
investigate this, we measured a hyperpolarizing light response while
injecting steady current and estimated whether hyperpolarization is
related to direct or indirect inhibition (Belgum et al., 1982 ). In most
cases, we blocked spikes that would obscure the membrane response (50 mM QX-314 in the pipette; Connors and Prince, 1982 ).
If the hyperpolarizing light response was caused by direct inhibition
(opening a Cl or
K+ channel), injecting negative current
should reduce the response, because driving force decreases, and
positive current should enhance the response, because driving force
increases. Direct inhibition was observed in an OFF cell to a 100 msec
light flash, with estimated reversal negative to
Vrest (Fig.
4A). However, an ON
cell received indirect inhibition (i.e., reduced excitation); negative
current increased the hyperpolarizing response to a dark flash, with
estimated reversal positive to Vrest (Fig.
4A). In both cells, the depolarizing light response
reversed positive to Vrest, consistent with
direct excitation (Fig. 4A).

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Figure 4.
Mechanism for inhibition is indirect for an ON
cell but direct for an OFF cell. A, Response to a 100 msec flash of positive (1.0) or negative (-1.0) contrast was measured
while injecting steady hyperpolarizing (hyp) or
depolarizing (dep) current. The baseline membrane
potential is plotted versus the peak of the depolarizing light response
or the trough of the hyperpolarizing light response (averaged over 10 msec; gray stripe). For the ON cell, both the
depolarizing response and hyperpolarizing response have apparent
reversal positive to Vrest (approximately -20 mV). For the
OFF cell, the depolarizing response reverses positive to
Vrest (-40 mV), whereas the hyperpolarizing response
reverses negative to Vrest (-100 mV).
Numbers below the trace indicate membrane
potential (in millivolts) before the stimulus in the depolarized
(bold) and hyperpolarized condition. Dashed
lines indicate linear regression. For the OFF cell, the
recording electrode contained QX-314. B, White noise
response was measured in a control condition (con) or
while injecting steady hyperpolarizing current (hyp).
For membrane NL function, the arrow indicates the
direction of the effect of hyperpolarizing current on the
hyperpolarizing light response (negative values of input axis). The
effect of hyperpolarizing current on the membrane NL function was
consistent with indirect inhibition in an ON cell but direct inhibition
in an OFF cell (see Results). For the OFF cell, the control curve was
measured with depolarizing current to enhance the effect of
hyperpolarizing current. In both cells, hyperpolarizing current caused a rightward shift in the
spike NL function, increasing output rectification.
Insets show the corresponding L filter, which was
normalized after injecting current to match the control peak amplitude
(see Mateials and Methods). sp, Spikes.
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We tested whether ON and OFF cells differed in their pattern of
estimated reversal for inhibition: reversal positive to
Vrest (four of four ON and zero of nine OFF
cells) or negative to Vrest (zero of four ON and
nine of nine OFF cells). A 2 test of
independence showed a significant effect (p < 0.01). From the best cells (i.e., most data points and greatest
stability), we estimate the following reversal potentials for the
hyperpolarizing response: ON cell, -20.4 ± 6.4 (mean ± SEM; n = 3); and OFF cell, -95.0 ± 6.5 (n = 7). ON and OFF cells showed a similar reversal for
the depolarizing response: ON cell, -11.4 ± 0.6 mV; and OFF cell, -20.8 ± 11.0. We observed the same pattern of results when we injected current and measured the depolarizing and hyperpolarizing responses to a 1 Hz step response (n = 2 ON cells and 2 OFF cells; data not shown). Input resistances of ON cells (27.1 ± 6.1 M ; n = 5) and OFF cells (29.8 ± 4.7 M ;
n = 9) did not differ significantly and were similar to
cat Y ( ) cells (31.3 M ; O'Brien et al., 2002 ). These data are
consistent with distinct mechanisms for inhibition in ON and OFF cells;
an ON cell hyperpolarizes because of the decrease of an excitatory
conductance, whereas an OFF cell hyperpolarizes because of the increase
of an inhibitory conductance. For the inhibition of an OFF cell, the
estimated reversal (approximately 95 mV) likely represents a mix of
an increased inhibitory conductance and a decreased excitatory conductance.
To further confirm the basic observation regarding different mechanisms
for inhibition in an ON and OFF cell, we performed a similar experiment
using white noise. We used standard electrodes (i.e., without QX-314)
so we could measure the effect on spiking. For an ON cell, negative
current increased the hyperpolarizing response (i.e., left side of the
membrane NL function; n = 2; Fig.
4B), whereas for an OFF cell, negative current
decreased the hyperpolarizing response (n = 3; Fig.
4B). Thus, these measurements confirm that the
reversal potential for hyperpolarizing light responses is positive to
Vrest for the ON cell but negative to Vrest for the OFF cell.
Polarizing the cell altered rectification of spiking responses
For an ON cell, hyperpolarizing current caused an increase in
rectification at low contrast in the spike NL function
(n = 2; Fig. 4B). This rectification
in spikes occurred even though the membrane NL function remained nearly
linear. Similarly, for the OFF cell, hyperpolarizing current caused an
increase in rectification in the spike NL function (n = 3; Fig. 4B). A similar result was observed in an OFF
cell when measuring responses to brief flashes of various contrast; the
rectification in spike output at low contrast was reduced by injecting
depolarizing current and raising the maintained discharge
(n = 4; data not shown). Thus, simply altering the
Vrest of a cell by injecting current could
strongly influence rectification in the spike output of the cell. The
increased rectification in spike output at slightly hyperpolarized
potentials suggests that there does not exist a strong adaptive
mechanism to bring the maintained spike rate to the same level
regardless of a small (<5 mV) change in membrane potential.
Evidence that the hyperpolarizing response of an ON cell depends on
a high basal rate of glutamate release
For an ON cell, both hyperpolarizing and depolarizing light
responses have nearly the same estimated reversal potential (Fig. 4A); this suggests that the response to light and
dark of an ON cell modulates the same conductance. Presumably this
conductance is driven primarily by the glutamate release of the ON
bipolar cell. Glutamate release would have to be high, nearly in the
middle of its operating range, so that peak hyperpolarizing responses attributable to stopping glutamate release would equal peak
depolarizing responses to doubling glutamate release (Figs. 2, 3).
To test for a high tonic level of glutamate release, we measured the
response in the membrane potential of an ON cell at several points
after tonically hyperpolarizing the ON bipolar cell with the agonist of
its metabotropic glutamate receptor (mGluR6), L-AP-4 (25-50 µm; Shiells et al., 1981 ; Slaughter and Miller, 1981 ). L-AP-4 hyperpolarized the membrane
potential and reduced the variance of the membrane
potential (Fig. 5) (Bloomfield and
Dowling, 1985 ; Cohen, 1998 ). Across cells, L-AP-4
hyperpolarized the membrane from -59.1 ± 2.5 mV (mean ± SEM) to -64.3 ± 3.0 mV (decrease of 5.2 ± 1.4 mV;
n = 5; p < 0.01); at wash, the
membrane returned to -58.6 ± 4.3 mV.
L-AP-4 reduced the variance from 1.34 ± 0.43 mV2 to 0.09 ± 0.02 mV2 (decrease of 88 ± 5%;
n = 5; p < 0.001); at wash, the
variance returned to 1.07 ± 0.43 mV2. The hyperpolarization coupled with a
reduction in variance is consistent with a reduction in presynaptic
transmitter release.

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Figure 5.
Evidence that the hyperpolarizing response of an
ON cell depends on high basal glutamate release. The
trace shows 500 msec of mean luminance followed by 1.5 cycles of a step response (full contrast). Initially (39
s), L-AP-4 reduced the membrane variance at mean
luminance and eliminated the hyperpolarizing response to dark
(h). Next (48 s),
L-AP-4 eliminated the depolarizing response to light. The
recovery during wash was in the opposite order; first (46
s) the depolarizing response recovered, and then (133
s) the variance increased, and the hyperpolarizing response
returned. Apparently the hyperpolarizing response depends on basal
glutamate release (which causes increased membrane variance at mean
luminance) so that an excitatory signal can be withdrawn. The recording
electrode contained QX-314 so that membrane variance could be assessed
independent of spiking.
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|
To test whether the hyperpolarizing response to dark depends on a high
tonic level of glutamate release, we measured the time course of the
block of hyperpolarizing versus depolarizing light responses. If the
hyperpolarizing light response depends on the suppression of a high
level of basal glutamate release, this response should be blocked
before the depolarizing response, which does not depend on basal
release. In fact, this was observed, and during the wash, the
depolarizing response reappeared before the hyperpolarizing response
(Fig. 5). In general, the hyperpolarizing response to dark was present
only when there was high variance in the membrane potential at mean
luminance. This implies that the hyperpolarizing response of an ON
ganglion cell depends on a reduction in the high basal release of
glutamate of the ON bipolar cell.
Evidence that an OFF cell is phasically inhibited by the
ON pathway
For an OFF cell, the hyperpolarizing light response depends on
direct inhibition at light onset (Figs. 4). This suggests that, unlike
the ON pathway, the basal rate of OFF bipolar cell glutamate release is
low and cannot itself be much inhibited. Instead, direct inhibition at
light onset suggests that the OFF ganglion cell is directly inhibited
by an ON amacrine cell. We tested this by measuring how direct
inhibition in an OFF cell was affected by blocking the ON pathway with
L-AP-4.
When the ON pathway was blocked, the hyperpolarizing response in an OFF
cell remained but decreased in amplitude (Fig.
6A). However, the
nature of the hyperpolarization changed from direct inhibition
(reversal of approximately -100mV) to indirect inhibition (i.e.,
decreased excitation; reversal of ~0mV); the effect of L-AP-4 reversed at wash (Fig.
6A). L-AP-4 caused the reversal for inhibition to switch from negative to Vrest
to positive to Vrest (four of five cells,
2 test of independence,
p < 0.01); in one cell, L-AP-4
caused the slope to become flat (i.e., a reversal could not be
estimated). From four OFF cells, we estimate the following reversal
potentials for the hyperpolarization to brightening: control condition,
-92.7 ± 11.3 mV (mean ± SEM); and
L-AP-4, +17.4 ± 19.6 mV. The reversal for
the depolarization to darkening was unaffected by L-AP-4: control,
-6.1 ± 15.9 mV; and L-AP-4, -13.2 ± 12.3 mV. A straightforward explanation for these results is that direct
inhibition during light increment in an OFF cell is driven by an ON
amacrine cell. With the ON pathway inhibition blocked, the remaining
hyperpolarization at light onset apparently depends on reducing the
basal rate of glutamate from the OFF bipolar cell.
L-AP-4 also suppresses the glutamate release of
the OFF bipolar terminal (Awatramani and Slaughter, 2001 ). However,
this alternative action cannot explain the effects on depolarizing and
hyperpolarizing responses shown here (see Discussion).

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Figure 6.
The ON pathway inhibits an OFF cell phasically to
a light flash and tonically at mean luminance. A, The
response of an OFF cell was measured to a 100 msec bright or dark spot
(full contrast). Initially, the hyperpolarizing (hyp)
response had an apparent reversal negative to Vrest
(approximately -100 mV). During L-AP-4, the
hyperpolarizing response was altered; it became smaller and had an
apparent reversal positive to Vrest (~0 mV). The effect
of L-AP-4 reversed after washing. In all three conditions,
the depolarizing (dep) response had similar apparent
reversal (between -30 and -20 mV). Lines indicate a
linear regression. The leftward point for the
depolarizing response was not included in the fit; at the most
hyperpolarized point, the depolarizing response to dark was delayed, so
the amplitude in the time window (gray stripe)
was reduced. Numbers below the trace
indicate baseline potential (in millivolts) before the stimulus in the
depolarized (bold) and hyperpolarized condition. The
recording electrode contained QX-314. B,
L-AP-4 depolarized an OFF cell and increased its spike
rate. L-AP-4 caused an increase in membrane variance, even
in the absence of spiking (QX-314 electrode). C, For the
white noise response, the spike L filter and NL function change in the
presence of L-AP-4 (standard electrode). In the presence of
L-AP-4, the spike L filter became faster and less biphasic;
the NL function became more linear at low contrast (less rectified),
because the baseline spike rate increases from 0 to 30 Hz. L filters
are normalized to their peak response (and NL functions are scaled
accordingly; see Materials and Methods). sp,
Spikes.
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Evidence that an OFF cell is tonically inhibited by the
ON pathway
When L-AP-4 was applied, an OFF cell tonically
depolarized from -62 ± 2.1 mV (mean ± SEM) to -54.7 ± 2.8 mV (standard electrode, n = 3; QX-314 electrode,
n = 7; Fig. 6B). When an OFF
cell was tonically depolarized, the noise in the membrane
potential increased, opposite to the effect observed in an ON cell
(Fig. 6B), and there was an increase in input
resistance (29 ± 14%; n = 6; p < 0.10, trend). For a cell recorded with a standard electrode, the
spike rate also increased from 5.5 ± 4.0 to 19.5 ± 8.0 Hz
(n = 3). A "burstiness" was observed in the spikes
in the initial period after L-AP-4 (Fig.
6B). As a consequence of the increased spike rate,
L-AP-4 reduced rectification in the NL function;
thus an OFF cell could effectively respond to low contrasts
(n = 3; Fig. 6C).
 |
Discussion |
Different circuits for ON and OFF
Our experiments suggest distinct circuits for ON and OFF cells
(Fig. 7); the circuit diagrams refer to
the receptive field "center" response to changes in light over the
dendritic tree. The ON cell response is relatively straightforward: the
basal release rate of glutamate of an ON bipolar cell is high and can be increased in response to brightening and decreased in response to
darkening (Figs. 4, 5). In this sense, it simply follows the output of
glutamate from the cone, except for a sign reversal (attributable to
the metabotropic glutamate receptor at the dendrite of the ON bipolar
cell). In addition, the ON bipolar cell excites an ON amacrine cell
that provides "feedforward" inhibition to the ON ganglion cell.
Thus, the reversal potential for the depolarizing response would be
between the reversals for the excitatory conductance (~0 mV) and
inhibitory conductance (approximately -80 mV). We estimate the
reversal at the soma to be approximately -20 mV (Fig. 4). At the
dendrites, where synapses are located, the reversal potential is
probably more negative than -20 mV (see Materials and Methods);
however, a more negative reversal in the dendrites (e.g., -30 mV)
would also suggest mixed excitation and feedforward inhibition. In
rabbit and salamander ganglion cells, the depolarizing spot response
also reversed between -40 and -20 mV (Flores-Herr et al., 2001 ; Roska
and Werblin, 2001 ; Pang et al., 2002 ).

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Figure 7.
Circuit models for ON and OFF pathways.
Left, The ON cell depolarizing response arises from a
combination of excitation (cone ON bipolar ON ganglion) and
feedforward inhibition (cone ON bipolar ON amacrine ON
ganglion); the reversal potential would be in between the reversal
potentials of the two conductances. The ON cell hyperpolarizing
response arises from the withdrawal of the synaptic inputs; this
requires that the basal rate of glutamate release from the ON bipolar
cell is high at rest. As evidence for this, ON cell depolarizing and
hyperpolarizing light responses had a similar reversal potential,
suggesting modulation up or down of a single conductance (Figs. 4, 5).
Right, The OFF cell depolarizing response arises from a
pathway that is parallel to the ON cell (i.e., a combination of
excitation and feedforward inhibition). However, basal release of
transmitter is apparently low at rest, so a strong hyperpolarizing
response cannot be generated by the withdrawal of basal glutamate
release. Instead, an additional input, involving cross talk from the ON
pathway, is required (cone ON bipolar ON amacrine OFF
ganglion). As evidence for this inhibitory pathway, the OFF cell
hyperpolarizing light response arose from direct inhibition (Fig. 4)
and was blocked by L-AP-4 (Fig. 6). L-AP-4 also
caused an OFF cell to depolarize in a tonic manner (Fig.
6B), suggesting that the ON amacrine cell
provides tonic inhibition at mean luminance.
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|
The OFF cell circuit is slightly more complex than the ON circuit (Fig.
7). An OFF cone bipolar cell has a low basal rate of glutamate release
that can only increase in response to darkening (Fig. 4); this pathway
also involves feedforward inhibition via an OFF amacrine cell, in
parallel with the ON circuit (Fig. 4). However, an additional amacrine
cell, driven by the ON pathway, directly inhibits the OFF ganglion in
response to brightening (Fig. 6). A surprising aspect of ON and OFF
circuits is the asymmetric cross talk between the two pathways; only
the OFF pathway requires cross talk from the ON pathway.
In addition to phasic inhibition at light onset, the ON pathway
tonically inhibits the OFF ganglion cell at mean luminance (Fig. 6).
L-AP-4 caused an OFF cell to depolarize, increase its spike
rate, and become bursty (i.e., increased variance of membrane voltage)
even in the absence of spiking (Massey et al., 1983 ; Bolz et al., 1984 ;
Wassle et al., 1986 ). Because L-AP-4 also increased input
resistance in most cells, we conclude that normally an ON amacrine cell directly inhibits the OFF ganglion cell dendrite. However, we cannot rule out a tonic inhibition onto the OFF bipolar terminal. Indeed, the bursty resting voltage of the ganglion cell in
the presence of L-AP-4 suggests altered presynaptic
glutamate release (Fig. 6B); the burstiness probably
does not reflect a voltage-dependent intrinsic property of the ganglion
cell, because depolarizing currents did not produce burstiness (Fig.
4A). At present, we cannot determine whether the
phasic and tonic inhibitions from the ON pathway arise from one
amacrine cell type or two.
The circuit diagram provides a simple explanation for our data based on
differences in ON and OFF synaptic inputs. ON and OFF cells appear to
express similar intrinsic properties (O'Brien et al., 2002 ), but we
cannot completely rule out their contribution to differences in ON and
OFF sensitivities (Velte and Masland, 1999 ; Chen and Diamond,
2002 ),
Different inhibitory mechanisms for ON and OFF
Previously, we observed that ON and OFF cells have different
mechanisms for inhibition; an ON cell receives indirect inhibition (i.e., reduced excitation), reducing a conductance that reverses positive to Vrest, whereas an OFF cell receives
direct inhibition, increasing a conductance that reverses negative to
Vrest (Demb et al., 2001a ,b ). However, these
previous experiments were performed either under a pharmacological
condition in which spiking amacrine cells were blocked or else with
relatively complex motion stimuli. We repeated the basic experiment
using contrast flashes and white noise and confirmed our earlier
findings (Fig. 4). Distinct mechanisms for inhibition also occur in
rabbit; the OFF cell receives direct inhibition from the ON pathway
at light onset, whereas the ON cell does not receive direct
inhibition from the OFF pathway at light offset (B. Roska, personal
communication). Cat X and Y cells showed a similar ON-OFF
asymmetry in vivo. L-AP-4 blocked all
response components of ON cells, but L-AP-4
blocked only the inhibitory component of an OFF cell (Chen and
Linsenmeier, 1989 ). This supports the asymmetric cross talk between
pathways, wherein the ON pathway inhibits the OFF cell but not vice
versa (Chen and Linsenmeier, 1989 ; but see Cohen, 1998 ).
Temporal processing in ON and OFF
The linear component of the L-NL analysis reflects the impulse
response function of a cell (given a fixed mean luminance and contrast). ON and OFF cells expressed opposite-signed but otherwise similar impulse responses (Fig. 2). Thus, under our conditions (photopic, high-contrast white noise) presynaptic inputs to ON and OFF
ganglion cells temporally filter the stimulus in a similar way. In
response to a discrete light pulse, the impulse response of a cell will
shorten its integration time as contrast increases because of contrast
adaptation; this will shorten the time to peak at high contrast
relative to low contrast (Fig. 3). On average, the time to peak
response at high contrast was shorter in ON cells (43.7 ± 2.5 msec) than OFF cells (57.0 ± 6.3 msec, mean ± SEM; p < 0.10, trend; Fig. 3). There were additional
ON-OFF asymmetries in the waveform of the response to a 100 msec light
pulse (Fig. 4). Thus, in general, ON and OFF cells express unique
temporal properties, and these probably reflect asymmetries in the
expression of contrast and light adaptations (Chander and Chichilnisky,
2001 ; Kim and Rieke, 2001 ; Chichilnisky and Kalmar, 2002 ).
Relationship between ON and OFF asymmetries in physiology
and morphology
In several species (human, monkey, rat, and guinea pig) at a given
retinal location, the dendritic area of an ON brisk-transient cell is
~40% larger than the area of an OFF brisk-transient cell (i.e., ON
vs OFF parasol or cell; Peichl, 1989 ; Dacey and Petersen, 1992 ;
Tauchi et al., 1992 ; Chichilnisky and Kalmar, 2002 ; Y.-H. Kao and J. Demb, unpublished observations). In monkey and guinea pig, an ON cell
is more sensitive at low contrast (Figs. 2, 3) (Chichilnisky and
Kalmar, 2002 ). Thus, it appears that within the brisk-transient system,
an ON cell shows high contrast sensitivity and low spatial resolution,
whereas an OFF cell shows lower contrast sensitivity and higher spatial
resolution. This difference, within the brisk-transient system, would
parallel the classic trade-off between the brisk-transient channel
(high contrast sensitivity and low spatial resolution) and the
brisk-sustained channel (low contrast sensitivity and high spatial resolution).
Alternative explanation for the action of L-AP-4
Group III metabotropic glutamate receptors are located on both the
ON bipolar dendrite and the ON and OFF bipolar axon terminal (Brandstätter et al., 1996 ). L-AP-4 directly
suppresses glutamate release from OFF bipolar terminals, especially at
lower release rates (Awatramani and Slaughter, 2001 ; Higgs et al.,
2002 ). However, we consider it unlikely that this direct action on the
OFF bipolar terminal could explain our results in an OFF ganglion cell,
because L-AP-4 did not reduce the depolarizing response to
light decrement of the OFF cell (Fig. 6A). Thus, we
think it most likely that L-AP-4 mainly
hyperpolarized the ON bipolar cell, which led to reduced inhibition
from an ON amacrine cell onto an OFF ganglion cell.
Implications for vision
The response to white noise resembles the response to natural
stimuli (Meister and Berry, 1999 ; Reinagel and Reid, 2000 ; Reinagel, 2001 ; van Hateren et al., 2002 ). Thus, on the basis of the white noise
response, we propose that under natural viewing conditions, an ON cell
would respond well at low contrast, whereas an OFF cell would respond
poorly (Fig. 2) (Chichilnisky and Kalmar, 2002 ). We reached a similar
conclusion by measuring the response to brief contrast flashes; an ON
cell could signal both increments and decrements, whereas an OFF cell
could signal only decrements (Fig. 3). Low sensitivity in an OFF cell
depends partly on its low maintained discharge, shown here in
vitro and elsewhere in vivo (Cleland et al., 1973 ;
Kaplan et al., 1987 ; Troy and Robson, 1992 ; Passaglia et al., 2001 ).
The low maintained discharge of an OFF cell would be further reduced at
the next synaptic stage, because an LGN relay cell only conveys ~40%
of the spikes from its retinal afferent (Kaplan et al., 1987 ).
Our results suggest a basis for the perceptual asymmetry in detecting a
low-contrast increment or decrement. At threshold, a human observer is
relatively more sensitive to a decrement (Short, 1966 ; Krauskopf, 1980 ;
Bowen et al., 1989 , 1992 ). We found that at low contrast, a decrement
generates a signal in both the ON pathway (significant decrease in
spikes) and the OFF pathway (significant increase in spikes), whereas
an increment generates a signal only in the ON pathway (significant
increase in spikes). Thus, perceptual sensitivity could be higher for
the decrement, because it is signaled by both ON and OFF pathways
rather than only a single pathway. Under intraocular L-AP-4
injection, a monkey showed mild impairment for detecting a low-contrast
decrement, suggesting that the ON pathway normally contributes to this
perceptual decision (Dolan and Schiller, 1994 ).
 |
FOOTNOTES |
Received Oct. 23, 2002; revised Jan. 16, 2003; accepted Jan. 22, 2003.
This work was supported by National Eye Institute Grants T32-EY07035
and RO1-EY08124. We thank Dr. E. J. Chichilnisky, Dr. Michael
Freed, Dr. Edward Pugh Jr, and Dr. Peter Sterling for comments on this manuscript.
Correspondence should be addressed to Dr. Jonathan Demb, 123 Anatomy/Chemistry Building, University of Pennsylvania School of
Medicine, Philadelphia, PA 19104-6058. E-mail:
demb{at}retina.anatomy.upenn.edu.
 |
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