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The Journal of Neuroscience, April 1, 1998, 18(7):2673-2684
Direction Tuning of Individual Retinal Inputs to the Turtle
Accessory Optic System
Naoki
Kogo1,
Doris
McGartland
Rubio2, and
Michael
Ariel1
Departments of 1 Anatomy and Neurobiology and
2 Research Methodology, Saint Louis
University, Saint Louis, Missouri 63104
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ABSTRACT |
Neurons in turtle accessory optic system [basal optic nucleus
(BON)] were recorded to study convergence of retinal afferents, using
whole-cell patch electrodes in a reduced in vitro
brainstem preparation with the eyes attached. BON cells primarily
exhibit EPSPs from a contralateral retinal ganglion cell input and
generate an output of action potentials. Visual responses were evoked
by different directions of either full-field or local moving patterns. Direction tuning of action potentials was compared with that of EPSPs
detected by passing the membrane voltage through an AC amplifier and
window discriminator. This rough measure of retinal input indicated
that the direction tuning of the full-field excitatory input from the
retina matched that of the spike output for the same BON cell.
Using local patterns within the receptive fields of the BON cells, it
was estimated that one to four adjacent retinal inputs were being
stimulated. The direction tuning of these inputs had preferred
directions that were similar to that of the full-field spike output of
the cell, irrespective of where the small window was placed within the
receptive field. Because more than one retinal input may have been
stimulated by the small stimulus window, subsets of those EPSPs that
may represent responses of a single retinal afferent were identified
based on their amplitude and rise time. Again, the preferred direction
of those putative single retinal afferents matched the direction tuning
of the spike output of the BON cell. These findings are discussed in
terms of the formation of the retinal slip signal by the BON.
Key words:
EPSPs; basal optic nucleus; brainstem; synaptic
convergence; direction sensitivity; retinal slip
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INTRODUCTION |
In vertebrate sensory systems, it is
difficult to investigate information processing at the level of the
role of individual synaptic inputs to a single neuron. Most sensory
stimuli activate several sensory afferents with overlapping receptive
fields that then synapse on the same second-order brainstem neuron.
This study used the accessory optic system, the inputs of which are
sets of widely distributed, direction-sensitive (DS) retinal ganglion cells. The synaptic convergence of the retinal afferents enable local
retinal signals to be converted into a spike code of the retinal slip
signal used for oculomotor control (Soodak and Simpson, 1988 ).
Different sets of DS ganglion cells are known to tile the retina so
that their large dendritic trees do not arborize in the territory of
any adjacent DS cell from its own set. Such sets have been
distinguished based on either their anatomical coupling, revealed by
intracellular injections of neurobiotin (Vaney, 1994 ), or their
preferred direction to moving spots of light (Amthor and Oyster, 1995 ).
DS cells of the turtle accessory optic system [e.g., basal optic
nucleus (BON)] may analyze a visual scene by summing DS retinal
inputs, the preferred directions of which are normally distributed
around a mean direction (A. Rosenberg and M. Ariel, unpublished
observations). The experiments described below directly measure the
convergence of retinal inputs onto a single BON neuron to determine
whether the preferred direction of its inputs match the preferred
direction of its spike output. One possibility is that the cell
receives retinal inputs that are all excitatory from a single set of DS
ganglion cells. If that set is made up of cells that prefer a common
direction of retinal image motion, then their synaptic convergence
would serve to spatially integrate those inputs to enlarge the
receptive field.
Another possibility for synaptic integration is that different sets of
DS retinal cells synapse directly on the same brainstem neuron, some
that excite in the preferred direction and others that inhibit in the
opposite direction. This redundant sensory information results in a
more robust sensory signal. A third scheme is that the accessory optic
system receives inputs from different sets of DS cells that prefer
different directions of motion that vary locally across its receptive
field (Burns and Wallman, 1981 ; Simpson et al., 1988 ; Wylie and Frost,
1990 ; Krapp and Hengstenberg, 1996 ).
In this study, we begin the analysis of the visual inputs to the
accessory optic system on a cellular level by using a reduced turtle
brain preparation so that the synaptic events are only from retinal
inputs to the BON and any intra-BON synapses but not from other brain
regions. In this way, the direct convergence of retinal input to the
BON is first analyzed to identify whether the inputs are DS and, if so,
what their distribution of preferred directions is. It is known that at
least some of the direct input to BON is from DS cells (Rosenberg and
Ariel, 1991 ), as shown by recording from DS retinal ganglion cells and
antidromically stimulating them by microstimulation of the
contralateral BON. Those extracellular experiments could not reveal the
functional neural circuitry from the retina to the BON; e.g., does a
nasal-preferring BON cell receive synaptic inputs from, and only from,
nasal-preferring retinal afferents across its receptive field? However,
whole-cell patch recordings from a BON cell provide sufficient
resolution to record EPSPs from many retinal afferents and to
distinguish individual afferents based on their shape (Kogo and Ariel,
1997 ). Our findings support the hypothesis that BON cells receive
inputs from DS retinal ganglion cells, the preferred directions of
which are similar. The neural convergence in the BON may be the basis for the conversion from local retinal directional information into a
measure of global image motion, retinal slip, that has a well-defined
role in vestibular and oculomotor reflexes.
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MATERIALS AND METHODS |
The animal care and experimental preparation are described in
detail elsewhere (Rosenberg and Ariel, 1990 ; Kogo and Ariel, 1997 ).
Turtles, Pseudemys Scripta elegans, were maintained in a
room temperature aquarium before the >1 hr of cryanesthesia in ice
water. The entire brain was removed with the two eyes attached. The
eyes were hemisected so that visual stimuli could be focused onto each
retina. To achieve a sheet-like structure in an interface chamber, many
dorsal brain structures were removed; i.e., telencephalon, dorsal
thalamus, pretectum, tectum, and cerebellum. This ablation also removed
indirect retinal BON pathways that are a source of IPSPs (Kogo and
Ariel, 1996 ).
The superfusate (in mM: Na 130, K 2.0, Ca 3.0, Mg 2.0, Cl
97) was bubbled with 95% O2-5% CO2 gas so
that the pH of the solution was ~7.6 ± 0.05 and its osmolarity
was ~274 ± 2 mOsm. Glass micropipettes (5-9 M ) were filled
with another solution (in mM: KMeSO4 124, CaCl2 2.3, MgCl2 1.2, HEPES 10.0, EGTA 5.0, ATP
2.0; pH 7.3-7.4; osmolarity, 264 mOsm).
Visual stimulation. Details of visual stimulation in
this in vitro preparation can be found elsewhere (Amamoto
and Ariel, 1993 ). In a darkened room, a full-field stimulus was
generated on a computer monitor and focused through a lens to cover the whole retinal eyecup contralateral to the recording. Stimuli were moved
in either 12 or 18 different directions interrupted by a 1 sec pause.
From the geometry of the 640 × 480 pixel monochrome monitor
positioned above this retina, a video pixel equaled 11 µm on the
retina or ~0.13° (8.25') of visual angle (Northmore and Granda,
1991 ).
Based on a preferred direction that was determined during the
full-field stimulation, the receptive field was mapped using a spot
moving in the preferred direction. Then, within that receptive field,
the local moving pattern was composed of equally spaced squares or
spots that gradually disappeared at the edge of a stimulation window as
another element reappeared on the opposite edge of the stimulation
window. In this way, both the direction of stimulus motion and the
total luminance on the retina remained constant. As with any type of
local moving patterns, a retinal ganglion cell, the receptive field of
which lies at the edge of the stimulation window, may also respond to
stimulus onset or offset as a moving element appears or disappears,
albeit gradually. This local motion stimulus was generated either by
software or simply by masking a full-field pattern with an opaque film
from which a round window was cut. The responses to these two local
patterns were similar.
Data recording and on-line analyses. During visual
stimulation, the membrane voltage was stored on videotape after
digitization at a 44 kHz sampling rate. Also, EPSPs were detected by
filtering the membrane voltage through an AC amplifier (3 dB cutoff
from 500 to 20,000 Hz) and sent to a window discriminator that produced 100 µsec 5 V pulses for the computer. The threshold of the
discriminator was set to record either spike events (excluding EPSPs
below the window) or EPSPs (excluding the smaller transient voltage
changes considered to be recording noise) (Kogo and Ariel, 1997 ). Using this event detection method, hereafter referred to as AC window detection, event times were sampled by the computer at a rate of 250 µsec for both EPSP and spike detection using the same stimulus conditions and data collection software (Fan et al., 1993 ). The computer saved the time of occurrence of each event relative to the
stimulus condition. Stimuli of back and forth motions along a given
directional axis were interleaved with the other axes across several
trials.
EPSPs exhibited some temporal summation during stimuli moving in a
preferred direction. Although the duration of EPSPs may be tens of
milliseconds, its rising phase was very rapid, and thus the AC-filtered
signal was dominated by positive and transient EPSP onset events.
Because the EPSPs were quite large relative to the recording noise,
high rates of EPSPs could be easily and accurately measured from the
filtered signal. Of course, using this method, the rare occurrence of
two nearly simultaneous EPSPs could pass through the window
discriminator and be counted as one event. However, the likelihood of
such EPSP undercounting was so low that it would not affect the
estimate of the preferred direction of the synaptic input.
The AC window detection technique was also subject to contamination by
IPSPs when the BON cell membrane was hyperpolarized to 90 mV, thus
inverting IPSPs into depolarizing events
(ECl = 68 mV) (Kogo and Ariel, 1997 ).
However, in BON cells recorded in this brainstem preparation without
the dorsal brain, very few IPSPs were observed at 60 mV with or
without visual stimulation. Furthermore, the direction tuning of BON
cells using the AC window detection technique was similar to the
results of the laborious off-line analysis in which EPSPs were
individually viewed and measured. Therefore, AC window detection was
considered a quick and reliable method to evaluate the visual response
properties of the excitatory synaptic events.
Off-line analyses. Kogo and Ariel (1997) reported that
unitary EPSPs could be evoked in a given BON cell by retinal
microstimulation within that receptive field of the cell. The shapes of
unitary EPSPs, measured as amplitudes and rise times, were often very similar for the same afferent but different from afferent to afferent. Unlike this retinal microstimulation, recordings during visual stimulation evoked several EPSP shapes simultaneously, even during stimulation of a small retinal area. From this variety of EPSP shapes,
an off-line analysis was performed to extract clusters of common EPSP
shapes that may represent the response from a single afferent. From the
frequency of those extracted events for each stimulus direction, a
preferred direction was estimated.
Synaptic activity was recorded onto video tape for subsequent analysis
using MINI software (kindly provided by Dr. J. H. Steinbach, Washington University, St. Louis, MO) to quantify the shape of each
selected synaptic event. The amplitude and rise time of each EPSP were
measured by an observer who was naive of the stimulus condition. Then,
on scatterplots of these two parameters, apparent clusters of these
synaptic events were identified. Boundaries around those regions were
defined subjectively using the scatterplot derived from the most
responsive condition. Finally, direction tuning of events within those
boundaries was analyzed from scatterplots derived from the different
stimulus directions.
In general, there were few events elicited during pattern movement
within a small window. Therefore, to determine objective boundaries of
regions of the scatterplots, cluster analysis was performed on data
pooled from several presentations of one or several preferred
directions, as follows. Data sets recorded during preferred direction
stimulation were subjected to additional processing, because these data
sets had the largest number of events to subdivide into clusters. All
parameters were standardized to a mean of 0 and SD of 1 before
analysis. First, the distance between each possible pair of data points
in the data set (squared Euclidean distance) was measured based on the
two parameters (amplitude and rise time). Then, the mean of the
distances from each data point and its 10 nearest neighbors was used as
the density measure for a cluster analysis of the three parameters:
rise time, amplitude, and density (K-means clustering, SPSS). The
number of legitimate clusters to extract from each data set was
determined empirically by testing different possible cluster numbers to
find the largest number of clusters for which each cluster still had a
relatively large number of elements. For these data sets, the optimal
cluster number was either two or three. Then, using that cluster
number, a two-parameter cluster analysis (amplitude and rise time) was performed on the same data set to determine clusters (by computer) and
to draw boundaries between them (by hand). Compared with the subjective
clusters observed visually, the objective boundaries were broader,
because the software did not exclude outliers. The objective boundaries
were then applied to the remaining data sets recorded during stationary
patterns or nonpreferred motion. The number of events within these
clusters was plotted in polar coordinates as a function of stimulus
direction to display the direction tuning of synaptic events that have
those objectively determined shapes.
The clusters of synaptic events on scatterplots were also compared with
25 published sets of synaptic events that actually represent responses
to microstimulation of single retinal ganglion cell afferents to a
given BON cell (Kogo and Ariel, 1997 , their Fig. 11). In that study,
minimal stimulation was used to evoke unitary EPSPs just above the
threshold for bipolar retinal microstimulation within the BON cell
receptive field in the contralateral eyecup. To make a statistical
comparison with the objectively defined clusters, those 25 data sets
were processed to remove stimulation failures and outliers. The
membrane voltage after a stimulation was considered a failure when it
fell below the nonsynaptic noise of that recording. Values were
outliers if they were >2 SD from the mean of the amplitude or rise
time. A multivariate ANOVA was performed using amplitude and rise time
as the dependent variables within each of the data sets as the factors
(criterion of p < 0.05). The result of that analysis
was a percentile value for each data set, indicating how many of the
other sets were statistically different from that data set (e.g.,
66.7% indicates that the data set was different from two of three of
the other sets; 100% indicates that the data set was different from
all the other sets).
The direction-tuning curves were quantified using two three-parameter
fitting methods: the rectified sinusoid equation (Rosenberg and Ariel,
1991 ) and the wrapped normal equation. Both fitting methods objectively
estimated the preferred direction from the phase parameter. The
rectified sinusoid equation computed offset and modulation depth
parameters (Rosenberg and Ariel, 1991 ), whereas the wrapped normal
equation computed variance and a scaling factor. Fits to the rectified
sinusoid equation did not produce a measure of directional tuning
width. Also, their correlation coefficient values were reduced for
rectified data, unless response values near zero were excluded to allow
for negative fit values. Fits to the wrapped normal equation did not
suffer these problems.
Rosenberg and Ariel (1991) have reported that responses of DS retinal
ganglion cells and BON cells are DS for most of the stimulus axes. This
breadth in direction-tuning curves makes accurate estimates of
preferred direction difficult. During pattern movement within a small
window, only a few events were sometimes elicited in each cluster, thus
making the estimates of their preferred directions less accurate. These
estimates were rejected if their correlation coefficients fell below
0.6, the criterion value for DS responses (Rosenberg and Ariel, 1991 ).
The direction tuning of the spike response of each cell was also
compared with that of published extracellular BON spike data (Fan et
al., 1995 ). For this latter analysis of those two samples, one cell
from the extracellular sample and three cells from the intracellular
sample were excluded for failing the DS criterion.
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RESULTS |
Visual response properties were measured for both the spike output
of the BON cell and the EPSP input to the BON cell. The first analysis
compared the spike output measured in these whole-cell recording
experiments with those published reports using extracellular electrodes. Typical responses from whole-cell and extracellular recordings demonstrate that both techniques provide identical measures
of direction-tuning properties (Fig. 1,
compare A, extracellular responses recorded with a varnished
tungsten electrode, and B, intracellular recordings as
described above). The similarity exists, although the whole-cell
recording method had the following differences relative to previous
extracellular experiments: (1) action potentials had a much larger
signal-to-noise ratio; (2) the BON cells were encountered by the
physical proximity to the patch electrode tip and not by using a visual
search stimulus to isolate only a visual responsive unit; (3) the
ruptured BON cell had its internal cytoplasmic contents dialyzed during
whole-cell recording, which could change its physiological properties;
and (4) the brainstem preparation was missing much of the dorsal
brainstem.

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Figure 1.
Extracellular versus whole-cell patch recordings
from the BON. Direction tuning of visual responses was recorded by each
technique using an identical full-field stimulus generated on the
computer monitor. Both sets of data show direction tuning in response
to 18 stimulus directions. The polar positions for the two cells were
rotated to align their preferred directions. A,
Extracellular data are displayed as 5 sec peristimulus spike histograms
that include a preceding 0.8 sec period before stimulus motion onset. B, Intracellular data are displayed as individual 1 sec
voltage traces during a single stimulus presentation. At the fast time scale of these traces, the response latency inherent in retinal processing and conduction to the BON are evident. Below each trace is a
horizontal 80 mV reference line. Within
each panel are polar plots derived from responses averaged from the
total stimulus duration for each direction (18 sec extracellular, 12 sec intracellular). These graphs plot the event frequency as the length
from the origin and the stimulus direction as the plot angle relative
to nasal visual field motion (to the right). In addition
to the data points, a curved line shows a
computer-generated fit, from which the preferred direction was
measured. Insets below each polar plot, Distributions of
preferred directions of each sample, both as a single line for each
cell and as a polar histogram of 20° bins.
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The entire samples of BON recordings (extracellular, n = 194; intracellular, n = 99) were also compared based
on the fits of direction-tuning curves (see Rosenberg and Ariel, 1991 ).
Although the sample size differed, the preferred directions of each
sample were similarly distributed (Fig. 1, insets). The mean
spontaneous activity during whole-cell recordings was quite variable,
1.84 ± 2.34 (SD) spikes/sec and was thus not significantly
different (t test at the 5% level) from that of the
extracellular recordings (0.51 ± 0.08 spike/sec). From the
distribution of the preferred directions, it is clear that the
likelihood of encountering BON cells of specific preferred directions
is also similar for the whole-cell and extracellular techniques.
However, these analyses confirmed that, despite the invasive aspect of
rupturing a patch of BON cell membrane, visual responses using that
approach were roughly equivalent to spike activity of extracellular
unit recordings. It is likely therefore that the BON contains a
nonuniform distribution of preferred directions. The paucity of BON
cells preferring nasal motion is not simply an artifact of an
extracellular electrode bias in an intact brainstem (Fan et al., 1995 )
or a consequence of the reduced brainstem preparation.
Comparing the two methods of fitting the direction-tuning curves showed
that the phase measurement of the wrapped normal fit and sinusoidal fit
were within 1.5° on average (±2.8°, n = 54), indicating that either approach was adequate to provide an objective measure of the preferred direction of each cell. We also found here
that, like the extracellular data analysis, direction-tuning curves of
visual responses during whole-cell recordings were also better fit by a
wrapped normal equation than by a rectified sinusoid equation (mean
correlation coefficients = 0.93 and 0.74, respectively), although
both methods were three-parameter fits. When response values near zero
were excluded to allow for negative fit values, the average correlation
coefficient of the sinusoidal fit increased to 0.89. Because a wrapped
normal equation accommodated direction-tuning curves better, it appears
that the DS inputs to BON cells may be normally distributed around a
mean preferred direction to create the DS BON cell spike output
(Rosenberg and Ariel, unpublished observations). The remainder of these
results will describe experiments to determine the range of preferred
direction inputs to a BON cell and thus deal with whole-cell recordings
exclusively.
Effect of current injection through the patch pipette
It has been shown that the frequency of the spike firing of turtle
BON cells is linearly correlated with the amplitude of an injected
current (Kogo and Ariel, 1997 ). Assuming that the synaptic input to
each BON cell is the sole determinant of the direction tuning of its
spike output, then the preferred direction should be independent of an
imposed change in the membrane potential. This was analyzed by testing
visual responses before and during hyperpolarizing current injection
through the patch pipette. Examples are shown in Figure
2, A and B. The
effect of hyperpolarizing BON cells from the resting membrane potential
of 60 mV to 90 mV is shown in the top traces. Because
the membrane potential of the cell was relatively further from the
threshold voltage for spike initiation, the number of spikes during
visual stimulation was reduced, often to zero. In those cases in which
spike responses to stimulus motion still occurred, the direction tuning
(preferred direction and variance of the wrapped normal fit) remained
similar during hyperpolarization (Fig.
2A,B, 90 mV, open
triangles, dotted line) compared with the cell at rest
(Fig. 2A,B, 60 mV, filled triangles, solid line). The difference between the
preferred direction at 90 and 60 mV for our sample was 8.6 ± 9.0° (n = 12). This result serves as a control for
the subsequent analyses in which EPSP recordings were performed at 90
mV.

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Figure 2.
Direction-tuning curves of spikes and EPSPs during
hyperpolarizing current injection. Curves are displayed in cartesian
coordinates for the 12 stimulus directions of a full-field pattern
(abscissa, stimulus direction; ordinate,
event frequency; triangles, spikes; filled
circles, EPSPs). The curved lines represent the
computer fit to the data points; the horizontal lines
represent the levels of spontaneous activity measured during stationary
periods of the visual pattern. Below each curve are
symbols to show the preferred directions of each wrapped
normal fit. A, B, top row, Two cells before and during membrane hyperpolarization. Activity was averaged across the total stimulus duration of 15 sec for each direction. The
cell membrane was either at rest ( 60 mV, filled
triangles, solid lines) or hyperpolarized to
90 mV (open triangles, dotted lines).
C, D, bottom row, Two different cells and
comparison of their spike ( 60 mV, filled triangles,
solid lines) and EPSP responses ( 90 mV, filled
circles, dotted lines). The dotted
horizontal lines indicate that the level of spontaneous EPSPs
was much higher than that of the spontaneous spikes. Note that the
preferred direction of the EPSP input was similar to the BON output. In
C, EPSP modulation occurred on top of the spontaneous
EPSP rate, whereas the cell in D showed inhibition of
EPSPs during stimulus motion in nonpreferred directions.
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Visual response properties of all EPSPs occurring in a BON cell
during full-field retinal stimulation
The major excitatory input to the BON comes from retinal ganglion
cells. To roughly evaluate the direction tuning of this input, BON
cells were hyperpolarized to 90 mV to reduce spike activity, and then
the membrane voltage signal from the DC preamplifier was passed through
an AC amplifier. The resulting signal contained transients that
represented the occurrences of EPSPs that could be detected as
individual events by the window discriminator.
The direction tuning of EPSP inputs to BON cells was found to be
well-matched to its spike output (two examples in Fig. 2, bottom). In most cases, the data collection occurred during
the experiment with the synaptic and spike responses measured within minutes of each other. The simple result was that the average retinal
input to a BON cell, an aggregate of EPSP responses, had the same
direction tuning during drifting visual patterns as that of the BON
spike output (Fig. 2, filled circles vs filled
triangles). A similar analysis was performed in another three
cells. The mean difference between the preferred direction of EPSPs and
spikes for the same cell set to 90 mV was 16.0 ± 14.7°
(n = 5). Because few spikes occurred at 90 mV, this
measurement was performed also at 60 mV. Still, the difference
between preferred directions of EPSPs ( 90 mV) and spikes ( 60 mV)
for our sample was 15.7 ± 19.5° (n = 17). This
result remains clear, although some EPSPs may have not been counted
because of their small size or simultaneous occurrence with another
EPSP.
The modulation of the visual EPSP response was superimposed on a high
level of spontaneous EPSP events (Fig. 2, dashed lines at
bottom). These levels were measured during periods of a
stationary pattern that were interleaved among the stimulus trials. Of
course, the measurement of spontaneous events depended in part on where the threshold of the window discriminator was set for each cell and on
the filter settings of the recording amplifiers (fixed at 500-20,000
Hz). Apart from that absolute level, part of the high spontaneous EPSP
rate of some cells was reduced during motion in the nonpreferred
direction (Fig. 2D). This EPSP reduction presumably indicates inhibition of spontaneous spike activity in the retina, because IPSPs were rarely observed in BON cells in the reduced brainstem preparations (Kogo and Ariel, 1997 ).
Visual response properties of EPSPs during local
retinal stimulation
The final analysis of the direction tuning of synaptic input to
the BON used small moving visual patterns to evaluate the properties of
individual retinal afferents to a BON cell. It was necessary to
estimate the receptive field size of a typical afferent. First, the
average diameter of the receptive fields of BON cells was determined to
be 31.8 ± 8.1° (n = 18) based on EPSP responses during whole-cell recordings. Based on the topography of backfilled retinal ganglion cells from the contralateral BON (Zhang and Eldred, 1994 ), one can estimate that the average BON receptive field size can
receive a possible input from 109.3 ± 15.0 (n = 4) ganglion cells (Fig. 3A and
as described in Discussion). However, assuming between three and nine
subtypes of ganglion cell inputs, each preferring a different direction
of motion, it was estimated that only 12-36 retinal ganglion cells
might contribute to the visual response of a single BON cell, each with
nonoverlapping receptive fields with diameters of between 5.3 and
9.2°.

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Figure 3.
Local retinal ganglion cell input and local visual
responses. A, Whole-mounted retinal drawing, kindly
provided by Dr. William Eldred, (Boston University, Boston, MA) showing
all the retinal ganglion cells labeled from a contralateral BON
injection of rhodamine. A circle equivalent to the average BON
receptive field (31.8°) was drawn over each peripheral retinal area,
and the ganglion cells were counted. Calibration bar, 10°. B,
C, Drawing of a right retinal eyecup (outer
circle) as viewed from above (nasal retina to the right) shown
at twice the scale of A. Local stimuli were presented at
many stimulation locations within the receptive field (oval) inferior to the visual streak
(dashed line) and adjacent to the optic nerve head
(black circle). Small arrows are placed on this drawing at the retinal stimulus locations and oriented to point
toward the preferred direction of EPSPs recorded in that area as
detected by the AC window. The large arrow represents the preferred direction of the BON cell spike output when the entire
retina was stimulated. The right inset shows the
stimulus as it would appear drawn to scale on the retina in darkness,
as a pattern of 2.7° white spots moved in 1 of 12 directions. The pattern moved within a round stimulus window of
6.9°.
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These estimates suggest that small drifting patterns (3.4-8.8°
width) may only stimulate one or a few retinal ganglion cell inputs to
a given BON cell. Therefore, local retinal stimulation was presented
while recording EPSPs from a hyperpolarized BON cell, the membrane
voltage of which was AC-filtered and heard through an audio amplifier.
This approach allowed for rapid observations of the preferred direction
responses to many positions within the receptive fields of dozens of
BON cells. We never observed a retinal position that had its preferred
response in a direction very different from the spike output of the BON
cell. The observation was quantified by detecting EPSPs by the AC
window during local retinal stimulation in 11 cells. Figure 3 presents
two examples (Fig. 3B,C; also Fig.
4A) and shows the
preferred directions of all the tested areas (excluding a few regions
with responses that were not DS; i.e., correlation coefficient of the
fit < 0.6). Across the entire sample, the mean difference between
the preferred directions of the DS EPSPs (local stimulation) and spikes
(full-field stimulation) was 18.4 ± 11.7° (n = 31). This difference is similar to that reported above (15.7 ± 19.5°, n = 17) comparing EPSPs during full-field
stimulation ( 90 mV) with spikes during full-field stimulation ( 60
mV). Although the variability of these preferred direction measurements
may relate to the estimation procedure, it is clear that the preferred
direction of the inputs to BON cells were within ~45° of the
preferred direction of their spike output.

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Figure 4.
Clustering of EPSP responses based on amplitude
and rise time. A, Drawing of a retinal eyecup (as in
Fig. 3). Local stimuli were presented at five stimulation locations
labeled S1-S5, and EPSPs were detected by the AC window
to estimate the preferred direction of each retinal area. The
right inset shows the stimulus pattern of 18 1.1°
white squares that moved together in 1 of 12 directions
within a square stimulus window of 8.8°. B, Three
superimposed direction-tuning curves plotted as in Figure 1 but rotated
to match the orientation of the eyecup shown in A. The
filled circles show the direction tuning of spikes
recorded at 60 mV during full-field stimulation. The open
circles show direction tuning of all EPSPs detected by the AC
window at 90 mV during full-field stimulation. The open
squares show direction tuning of cluster 2 (C-E). The scaling is not the same for the
different polar plots but demonstrates that these three response
measures of this BON cell preferred similar directions.
C-E, Amplitude-rise time scatterplots showing the
distribution of EPSP shapes recorded in a BON cell hyperpolarized to
90 mV with the local pattern centered on the S2
stimulation site shown in A. Each data
point represents the shape of an individual EPSP
recorded during equivalent 40 sec periods (10 sec of local pattern
motion in 4 preferred and 4 null direction presentations, 8 5 sec
periods of no motion). From the preferred data in C,
boundaries were objectively determined to divide the scatterplot into
three regions using cluster analysis. Note that there were many more
events within the boundaries of cluster 2 in
C than were recorded during the null directions in E. The stationary pattern (D)
evoked the fewest events in all clusters. The direction-tuning curve of
cluster 2 is plotted in B.
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Quantification of unitary EPSP inputs to a BON was much more difficult
than the analysis of events detected by the AC window. The unfiltered
EPSP events during a local retinal stimulation still had a variety of
shapes and sizes, perhaps from input of more than one ganglion cell
afferent or from other nonvisual synaptic inputs. An identification of
unitary EPSPs from individual ganglion cell inputs was therefore
attempted based on our previous finding that different afferents have
distinctive and characteristic EPSP amplitudes and rise times (Kogo and
Ariel, 1997 , their Fig. 11). Five BON cells were selected for this
further analysis, because their rates of spontaneous synaptic activity
were low, and the responses to local moving patterns had large DS
EPSPs.
In the first example, Figure 4A shows the specific
retinal subregion that was stimulated to record EPSPs, the amplitudes
and rise times of which are plotted in Figure 4, C and
E. Initially, five positions (S1-S5) were
stimulated within the receptive field of the BON cell, as described for
Figure 3, using a local moving check pattern (Fig.
4A, inset). Although the estimates of the preferred direction were less reliable, because fewer synaptic events
were evoked by local patterns than full-field stimuli, note that each
of the five retinal positions (Fig. 4A, small
arrows) had preferred directions similar to the spike responses to
full-field stimulation (Fig. 4A, large
arrow). The S2 arrow, which aligned closest to
the preferred direction of the spike response (Fig. 4B, within 16° based on the phase of a wrapped
normal fit), represents data that had the highest correlation
coefficient (0.97; S1 and S3-S5 values were <0.9). Amplitude-rise
time scatterplots were generated from responses to S2 for each of 12 stimulus directions (Fig. 4C,E) and compared with
scatterplots derived from recordings during a stationary pattern (Fig.
4D). As can be seen, EPSPs with faster rise times but
larger amplitudes showed a prominent direction sensitivity (Fig. 4,
preferred direction, C, compared with the null direction,
E). Note that these small regions of EPSPs do not correspond
to responses from different retinal positions but are different EPSP
shapes evoked by stimulus motion at a single small retinal
position.
Cluster analysis
Although in some regions of some amplitude-rise time
scatterplots, clusters of events sharing a common shape were apparent, an objective means was developed to determine boundaries within which
to analyze direction tuning (see Materials and Methods). Although these
regions varied for each data set, there was always a large and dense
cluster of events of small amplitudes and short rise times. This
region, referred to as cluster 1, was also apparent in recordings
during a stationary pattern (Fig. 4D; see Figs. 7A, 8A). These motion-insensitive events
were found in the same region of the scatterplot as events that were
insensitive to retinal lidocaine application, supporting a previous
suggestion that small EPSPs may be spontaneous "minis" either from
retinal axons or intracranial synaptic inputs (Kogo and Ariel, 1997 ).
Alternatively, these visually insensitive events may result from the
spontaneous spike activity of ganglion cells outside of the window of
local pattern motion.
Of the EPSP clusters that showed clear direction sensitivity, it was
possible that they represent the EPSPs of single DS retinal ganglion
cell afferents. A visual comparison of these visually evoked DS EPSP
clusters (Fig. 5, V1-V3,
equivalent to cluster 2 shown in Figs. 4, 6, 7, respectively) was
therefore made with the collection of scatterplots of EPSP shapes
derived from unitary retinal ganglion cell afferents that were evoked
by electrical stimulation (Fig. 5, E1-E20, derived from
Kogo and Ariel, 1997 , their Fig. 11). In that study, EPSPs from the
same afferent occupied small regions of amplitude-rise time
scatterplots, indicating that those unitary EPSPs often had a
characteristic shape. It is clear that the visually evoked clusters and
the electrically evoked EPSP groups were similar in amplitude and rise
time.

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Figure 5.
Comparison of visual evoked clusters and
electrically evoked unitary EPSPs. Twenty unitary EPSP scatterplots are
displayed in the three top rows and left
side of the bottom row (E1-E20). V1-V3, Scatterplots of cluster 2 (from Figs. 4, 6, 7,
respectively) shown on the right side of the
bottom row. These plots all have amplitude in millivolts
on the ordinate and rise time in milliseconds on the
abscissa. All scatterplots are displayed on the same
scale, although the number of points in each plot varied because of
electrical stimulation failures caused by near threshold current
stimulation or different recording times during visual stimulation.
Five unitary EPSP scatterplots, the mean rise time of which was >5
msec, are not shown from Kogo and Ariel (1997) , their Figure 11. The
histogram between E20 and V1 displays the
number of EPSP groups as a function of the percentage of remaining
groups that were statistically different based on amplitude and/or rise
time.
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EPSP groups evoked by visual or electrical stimulation were next
quantified and compared statistically. First, multivariate ANOVA showed
that unitary EPSP groups were distinguishable from one another based on
either amplitude or rise time (histogram in Fig. 5). In fact, all these
groups were statistically different from >66.7% of the remaining
groups, although individual EPSPs of any one group might not be
distinguished statistically from individual EPSPs in other groups based
on its shape. Then the three DS EPSP clusters identified in this
analysis (Fig. 5, V1-V3) were compared with the groups of
unitary EPSPs. These three clusters were statistically distinct from
all the electrically evoked EPSP groups and from each other (Fig. 5,
hatched bar). Therefore, these visually evoked clusters
occupy a region on the scatterplots similar to that of unitary
monosynaptic EPSPs from single retinal ganglion cells and yet can also
be distinguished from other groups based on their shape parameters.
Cluster analysis was not always able to identify small regions of the
scatterplot, as shown in Figure 6 (also
see Fig. 5, V2). On the amplitude-rise time scatterplot of
the preferred direction responses, we subjectively identified a region
of increased density of large synaptic events that were >20 mV.
However, cluster analysis did not identify that small cluster, but two
other clusters were identified: cluster 1 (small non-DS EPSPs; Fig. 6,
inset) and a region much larger than our subjective estimate
of events, >20 mV. In this case, there may have been two adjacent DS
retinal ganglion cell afferents stimulated by the local pattern motion, and those two afferents produced EPSPs with shapes that filled two
adjacent regions of the scatterplot. One can imagine a paucity of
events in a region dividing cluster 2 in half. However, we used the
objective method and performed the direction-tuning analysis on the
entire cluster 2 (Fig. 6B). Surrounding the polar
plot are voltage traces during different stimulus directions (as shown in Fig. 1, bottom). A similar analysis was performed for all
events >20 mV (a visually derived subjective criterion; data not
shown). That analysis produced a nearly identical direction-tuning
curve and a much more limited dispersion of EPSP shapes that compared well with that of E1-E20 (Fig. 5).

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Figure 6.
Inability of cluster analysis to divide some large
clusters. A, Amplitude-rise time scatterplots showing
the distribution of EPSP shapes recorded in a BON cell hyperpolarized
to 90 mV during equivalent 40 sec periods (8 sec of local pattern
motion in 5 preferred and 5 null direction presentations). From the
preferred data of the left panel, the boundaries for two
clusters were identified objectively. Stimuli and analyses were similar
to those of Figure 4, except that the white squares were 2.8° within
a window of only 5.8° square. B, Intracellular data
are displayed as individual 2 sec voltage traces for 7 of the 12 stimulus directions. Below each trace is a horizontal
100 mV reference line. The polar plot in the center
represents the direction tuning of the events in cluster 2. Inset to left shows the cluster 1 polar
plot.
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The next example shows that the use of amplitude and rise time criteria
may be better able to identify individual events as having been derived
from a single DS afferent than a direct examination of the voltage
traces. The BON cell example of Figure
7B shows 15 sec traces
recorded in the preferred and null directions. Under each trace, an
arrowhead was placed to denote an EPSP that was contained in
cluster 2, a DS region of the scatterplot (Fig. 7A). It is
important to note that most of the events that occurred during null
direction motion (Fig. 7B, top trace) were not
part of cluster 2, although their amplitudes may have been larger than that of cluster 1. The preferred direction of this cell was estimated by the wrapped normal fit to be 197° using AC window detection and
234° from the objectively identified cluster 2 (Fig. 7B,
middle plot). These directions are close to that of the
estimated preferred direction of 214° for the spike output of the BON
cell during full-field motion at 60 mV.

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Figure 7.
Identification of individual EPSPs from one
cluster within a voltage trace. A, Amplitude-rise time
scatterplots showing the distribution of EPSP shapes recorded in a BON
cell hyperpolarized to 90 mV during equivalent 120 sec periods (two 1 min presentations interleaved for local pattern motion in 12 directions
and a stationary condition). From the preferred direction data of the
left panel, the boundaries for three clusters were
identified objectively. Note that cluster 2 has many
more events during the preferred direction than during null direction,
except for possible contamination at its lowest boundary.
B, Three polar plots show the direction tuning of events
for each cluster identified in A using the preferred and
null direction scatterplots, as well as 10 other scatterplots (data not
shown). The circle on each plot shows the spontaneous events derived from the stationary stimulus condition
(A, middle). Above and below the middle
polar plot of cluster 2 are 15 sec voltage traces during
null and preferred responses, respectively. Below each trace are
arrowheads to identify events, the amplitude and rise
time of which fall within the boundaries of cluster 2. Note that all but one of the EPSPs in this null direction trace had
either an amplitude <3.8 mV or a rise time >4 msec. Note that the
calibration of the left polar plot is twice that of the
right two plots. There were many more events in cluster
1 than the other two clusters, and those events were
inhibited by stimulus motion.
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Figure 8 shows the final example in which
cluster 3, but not cluster 2, was DS. This analysis also demonstrates
that amplitude-rise time scatterplots are useful to discriminate
clusters of data recorded in the voltage-clamp mode. The pattern in
this case was also within the smallest stimulus window tested (3.4°
square). Of the three identified clusters (Fig. 8A),
both the low-amplitude, fast rise time cluster and the large-amplitude,
fast rise time clusters were not DS (Fig. 8B,
1, 2, respectively), although their responses
were greater during motion than during the stationary pattern. This
indicates that at least some EPSCs were visually driven, although not
by a directional input. Another possibility is that the visually driven
input was from a DS ganglion cell, yet the local stimulus did not cover
its receptive field fully. In that case, the weak non-DS response may
be attributable to the appearance and disappearance on a white square
and not attributable to its motion across the receptive field of the
ganglion cell. The final cluster, however, was clearly DS (Fig.
8B, 3), and its preferred direction
aligned well with the spike output of the BON cell (Fig.
8C). These findings indicate that individual afferents to
BON cells are DS retinal ganglion cells that prefer similar directions
of motion.

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Figure 8.
Direction tuning of EPSC responses during motion
of a very small pattern. A, An amplitude-rise time
scatterplot showing the distribution of EPSC shapes recorded in a BON
cell recorded in voltage-clamp mode with its membrane held to 90 mV
during local pattern motion (2 12 sec presentations) during preferred
direction motion, no motion, and null direction motion (stimulus
window, 3.4° square). Clusters were objectively determined from the
shapes of the events during preferred direction motion.
B, Polar plots based on the boundaries of the three
clusters shown in A. C, A polar plot
shows the direction tuning of the spike output of the same BON cell
recorded in current-clamp mode with its membrane held to 60 mV during
full-field visual pattern motion. This direction sensitivity is similar
to that of cluster 3 shown in B.
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DISCUSSION |
Using whole-cell patch recordings of cells in the accessory optic
system (AOS) of a reduced in vitro turtle brain, it was shown that sensory afferents provided visual inputs that were excitatory and direction-sensitive and had preferred directions that
were similar to the spike output of postsynaptic cells. The substantial
retinal convergence of DS cells onto a single AOS cell both enlarged
the receptive field and appeared to perform a direct linear
transformation of the excitatory synaptic current into the spike
responses. These results demonstrate that this first central synapse of
the optokinetic reflex arc can create a retinal slip signal from the
simple spatial summation of similar DS ganglion cells from across the
surface of the retina.
Can the visual response of individual afferent inputs to a
single BON cell be studied?
We have previously shown that an individual retinal afferent to a
single BON cell can be stimulated electrically in the eyecup (Kogo and
Ariel, 1997 ). Although a current pulse probably excited more than one
cell at the retinal surface, the ability to stimulate a single input to
a BON cell electrically may be attributable to a low density of retinal
cells that project to any one BON cell. This low density has been shown
by backfilling ganglion cells from contralateral BON (Zhang and Eldred,
1994 ). Of a total of 364,000 ganglion cells (Peterson and Ulinski,
1979 ), 1500 cells were labeled; each had distinctive dendritic
morphology and loop-like patterns that are very similar to
physiologically identified DS cells described in rabbit retina (Oyster
et al., 1993 ).
Estimation of receptive field size of single DS afferent
Without intracellular recordings, it has been difficult to measure
the receptive field size of AOS neurons using extracellular techniques.
These cells receive a diffuse retinal input that evokes spike activity
only when sufficient retinal area is stimulated. A minimum stimulus
diameter of 30° was used by Rosenberg and Ariel (1990) to estimate
that the receptive field was >20°. However, in this study, EPSP
responses were readily monitored with an audio monitor for an accurate
measurement of the mean receptive field diameter of the BON (31.8°).
Anatomical material of Zhang and Eldred (1994) was then used to
estimate the number of inputs to each BON cell. First, in four
peripheral regions of the whole-mounted retina that were equivalent to
the average BON receptive field (Fig. 3A, 31.8° circles),
labeled cells were counted to be 109.3 ± 15, which we consider
the maximum number of retinal inputs to a single BON cell.
Next, we estimated the number of different subgroups found in these
109.3 cells. Bowling (1980) showed three groups of preferred directions
in turtle retina. That is a low estimate, because each group is
probably subdivided based on its ON-OFF center response. In rabbit,
for example, Oyster et al. (1972) described four ON-OFF and three
ON-center subtypes of DS ganglion cells. Amthor and Oyster (1995) and
Vaney (1994) presented physiological and anatomical evidence that
different subtypes of rabbit DS cells tile the retina with a unitary
coverage, indicating that the cells of each subtype have dendritic
trees that blanket the retina yet do not overlap one another. One would
then expect that, for each subgroup, the dendritic spread of individual
cells should closely correspond to the distance between neighboring
cell somas. Zhang and Eldred (1994) carefully quantified the distance
of individual peripheral ganglion cells to their nearest neighboring
cell that also projected to the BON as mainly between 25 and 100 µm.
The average distance to a neighboring cell is presumably greater. They
also reported the range in the dendritic spread of individual
peripheral ganglion cells (83,000-600,000 µm2;
equivalent to circles of diameter of 325-874 µm). Presumably, the
largest dendritic trees were in the most peripheral retina, where the
nearest neighbors are the most separated. In other words, nearly nine
of the nearest 100 µm neighbors can align within an 874-µm-diameter dendritic tree. Assuming unitary tiling, the high estimate for subgroups of DS ganglion cells would be nine for the
turtle. This estimate is consistent with subdividing each of the three
preferred direction clusters (Bowling, 1980 ) into subgroups that
are ON-center, OFF-center, and ON-OFF type DS cells (Granda and
Fulbrook, 1989 ).
From this estimate of three to nine subtypes of retinal input to BON,
then of the 109 potential inputs to each BON cell, only 12 (109/9
subtypes) to 36 (109/3 subtypes) ganglion cells form a single DS
retinal subtype that synapses in the receptive field of that BON cell.
Furthermore, these 12-36 ganglion cells can be estimated to have
nonoverlapping receptive fields of diameters of between 5.3 and 9.2°.
This estimate is also consistent with the measured size of the
dendritic arbors (area of 83,000 µm2 = 4.1° in
diameter; area of 600,000 µm2 = 10.9° in
diameter) (Zhang and Eldred, 1994 ). With nonoverlapping afferent inputs
of those sizes, 3.4-8.8° visual patterns may have evoked responses
from only one or a small number of ganglion cell inputs to a BON cell.
This estimate also supports the retinal microstimulation study that
showed that closely opposed (~50 µm = 0.7°) bipolar
electrodes evoked unitary EPSPs to BON cells with low and distinct
thresholds (5-200 µA, 100 µsec current pulses) (Kogo and Ariel,
1997 ).
Examination of the direction tuning of possible single
DS afferents
Even assuming a small number of afferents to a given BON cell,
each with nonoverlapping receptive fields, it was necessary to identify
which EPSPs were caused by the response of a single afferent from those
of other afferents that may also be responding or just spiking
spontaneously. Fortunately, EPSPs caused by single retinal afferents
have been characterized (Kogo and Ariel, 1997 ). Retinal
microstimulation evoked unitary EPSPs, as judged by finding a clear
stimulus threshold and having a fixed stimulus latency. These responses
were blocked by retinal application of lidocaine, leaving only
small-amplitude events with short rise times. Such lidocaine-insensitive events may be found within the boundaries of
cluster 1 of Figures 4 and 6-8, because events in cluster 1 were invariably non-DS. On the other hand, the large-amplitude unitary EPSPs
that were evoked by retinal microstimulation had clear characteristic shapes that separated unitary EPSP groups from one another (Fig. 5).
In this paper, we applied the same approach to EPSPs during movement of
a small pattern, although only a subset of them were visually evoked
responses. However, the EPSP shape analysis indicated that events of
specific ranges of amplitude and rise time may identify visually
responsive subsets of EPSPs that were derived from single retinal
afferents. Alternatively, the EPSPs from a single retinal afferent are
corrupted by a limited number of similarly shaped contaminating EPSPs.
Sources for such contamination include (1) a spontaneous retinal
ganglion cell from elsewhere in the retina that was not visually evoked
from that local retinal stimulation; (2) another retinal ganglion cell,
the mean EPSP shape of which was different, but some of its EPSPs were
not excluded adequately by the cluster analysis technique (e.g., visual
inspection of cluster 2 from responses of both Figs.
6A, 7A indicate contaminating events,
because the lower boundaries appear too low), and (3) the unlikely
occurrence that stimulation of one retinal location evoked EPSPs of
identical mean shapes from two nearby retinal ganglion cells projecting
to the same BON cell. The objective identification of these clusters
was difficult, because single afferents may produce too few events
among EPSPs that were not visually responsive. Despite these
difficulties, small regions of amplitude-rise time scatterplots were
found to be DS, with preferred directions similar to that of the spike
output of the BON cell.
Complex or simple visual processing in the AOS?
A simple assumption is that retinal inputs to the brainstem are
excitatory and visually tuned to the visual features displayed in the
postsynaptic cell. In the lateral geniculate nucleus, the spike output
of a cell correlated well with extracellularly recorded EPSPs called S
potentials in certain behavioral states (Fourment et al., 1984 ). The
results described here also show that one property of retinal inputs to
the AOS, direction tuning, does match the AOS spike output in turtle.
DS responses of the AOS of other species may also be attributable to
retinal processing, because DS cells are found in most vertebrate
species.
Oyster et al. (1972) first suggested that DS ganglion cells played a
role in the formation of the retinal slip signal to drive optokinetic
eye movements. Simpson et al. (1988) suggested that the AOS relays
retinal slip to the cerebellum and vestibular system to serve as an
error signal for the control of vestibular ocular reflex gain. In
turtles, the properties of BON and DS ganglion cells in
vitro have been correlated with the optokinetic behaviors in
vivo (Ariel, 1989 , 1990 ; Rosenberg and Ariel, 1990 , 1996 ). More
recently, a model developed by Rosenberg and Ariel suggests that an
appropriate variance in a normal distribution of preferred directions
of elementary movement detector inputs could account for the direction-
and speed-tuning properties measured in the sample of extracellular BON
spike responses (Rosenberg and Ariel, unpublished observations).
After convergence of retinal inputs onto an AOS cell, it is still
possible that the AOS spike output is normally modified by indirect
visual inputs from the contralateral AOS or overlying pretectum, both
of which were removed surgically in this reduced preparation. Pretectal
neurons also encode retinal slip but prefer different directions of
motion (Baldo and Britto, 1990 ; Natal and Britto, 1987 ; Fan et al.,
1995 ). Similarly, DS input may come from visual cortex that derives a
measure of visual motion direction independent of the retina (Grasse et
al., 1984 ; Hamassaki et al., 1988 ; Natal and Britto, 1988 ). The
combined output of retinal and cortical directional processing may
result in AOS response to a broader range of stimulus velocities, as
well as binocular responses and responses to motion in depth (Hoffmann,
1983 ; Grasse, 1994 ).
Unlike the turtle, AOS cells in the rabbit have high spontaneous spike
rates and direction tuning showing noncolinear excitatory and
inhibitory components (Simpson et al., 1988 ; Soodak and Simpson, 1988 ),
indicating that AOS cells receive visual input that prefers substantially different preferred directions in spatially segregated retinal areas. Using intracellular AOS recordings in the reduced turtle
brain, no such inputs were observed. The EPSP responses evoked by local
moving patterns had similar preferred directions (average difference of
~13°) independent of their position within the receptive field. It
is possible that BON cells in the intact animal show more complex
receptive field properties, or that several of the ~30° receptive
fields in the BON contribute to neurons elsewhere in the brain that
encode the optic flow of the full binocular visual field in a
three-dimensional visual environment.
In conclusion, this report has directly demonstrated the convergence of
retinal ganglion cells onto single neurons of the accessory optic
system and supports the role of retinal DS processing in the
optokinetic system. Modulation of these excitatory inputs by
stimulation outside of the receptive field or by indirect visual inputs
mediated through other brain structures are currently under investigation. However, DS retinal cells have been described in most
vertebrates, and they may still form the essential sensory path to the
accessory optic system.
 |
FOOTNOTES |
Received July 21, 1997; revised Jan. 9, 1998; accepted Jan. 9, 1998.
This work was supported by Grant NS33190 to M.A. We thank Dr. Alex
Rosenberg for comments on this manuscript.
Correspondence should be addressed to Dr. M. Ariel, Department of
Anatomy and Neurobiology, Saint Louis University, 1402 South Grand
Boulevard, St. Louis, MO 63104.
 |
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J. M. Ackert, S. H. Wu, J. C. Lee, J. Abrams, E. H. Hu, I. Perlman, and S. A. Bloomfield
Light-induced changes in spike synchronization between coupled ON direction selective ganglion cells in the mammalian retina.
J. Neurosci.,
April 19, 2006;
26(16):
4206 - 4215.
[Abstract]
[Full Text]
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I. R. Winship, P. L. Hurd, and D. R. W. Wylie
Spatiotemporal Tuning of Optic Flow Inputs to the Vestibulocerebellum in Pigeons: Differences Between Mossy and Climbing Fiber Pathways
J Neurophysiol,
March 1, 2005;
93(3):
1266 - 1277.
[Abstract]
[Full Text]
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N. A. Crowder, M. R.W. Dawson, and D. R.W. Wylie
Temporal Frequency and Velocity-Like Tuning in the Pigeon Accessory Optic System
J Neurophysiol,
September 1, 2003;
90(3):
1829 - 1841.
[Abstract]
[Full Text]
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M. Ariel and N. Kogo
Direction Tuning of Inhibitory Inputs to the Turtle Accessory Optic System
J Neurophysiol,
December 1, 2001;
86(6):
2919 - 2930.
[Abstract]
[Full Text]
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D. R. W. Wylie and N. A. Crowder
Spatiotemporal Properties of Fast and Slow Neurons in the Pretectal Nucleus Lentiformis Mesencephali in Pigeons
J Neurophysiol,
November 1, 2000;
84(5):
2529 - 2540.
[Abstract]
[Full Text]
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N. Kogo and M. Ariel
Response Attenuation During Coincident Afferent Excitatory Inputs
J Neurophysiol,
June 1, 1999;
81(6):
2945 - 2955.
[Abstract]
[Full Text]
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