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The Journal of Neuroscience, September 1, 2002, 22(17):7712-7720
Diverse Synaptic Mechanisms Generate Direction Selectivity in the
Rabbit Retina
W. Rowland
Taylor1 and
David I.
Vaney2
1 John Curtin School of Medical Research and Centre for
Visual Sciences, Australian National University, Canberra, 2601 ACT,
Australia, and 2 Vision, Touch and Hearing Research Centre,
School of Biomedical Sciences, The University of Queensland, Brisbane,
QLD 4072, Australia
 |
ABSTRACT |
The synaptic conductance of the On-Off direction-selective
ganglion cells was measured during visual stimulation to determine whether the direction selectivity is a property of the circuitry presynaptic to the ganglion cells or is generated by postsynaptic interaction of excitatory and inhibitory inputs. Three synaptic asymmetries were identified that contribute to the generation of
direction-selective responses: (1) a presynaptic mechanism producing
stronger excitation in the preferred direction, (2) a presynaptic
mechanism producing stronger inhibition in the opposite direction, and
(3) postsynaptic interaction of excitation with spatially offset
inhibition. Although the on- and off-responses showed the same
directional tuning, the off-response was generated by all three
mechanisms, whereas the on-response was generated primarily by the two
presynaptic mechanisms. The results indicate that, within a single
neuron, different strategies are used within distinct dendritic arbors
to accomplish the same neural computation.
Key words:
direction selectivity; ganglion cells; synaptic
conductance; inhibition; excitation; dendritic integration; on- and
off-pathways; rabbit retina
 |
INTRODUCTION |
The direction-selective ganglion
cells (DSGCs) in the rabbit retina are a model system for investigating
neural computation (Vaney et al., 2001
). These cells respond strongly
to an image moving in a preferred direction but only weakly to an image
moving in the opposite "null" direction. The foundation for
understanding the cellular mechanisms of direction selectivity in
vertebrates was laid by Barlow and Levick (1965)
, whose extracellular
recordings from DSGCs indicated that direction selectivity was mediated
primarily by inhibition activated by null-direction image motion.
Strong support for the inhibitory model was provided by subsequent
pharmacological experiments, which showed that
GABAA-receptor antagonists abolish direction
selectivity (Wyatt and Daw, 1976
; Ariel and Daw, 1982
; Kittila and
Massey, 1997
). However, these extracellular recording experiments
provided no information about whether the inhibition acted directly on
the DSGC or presynaptically on the excitatory interneurons.
Torre and Poggio (1978)
proposed a postsynaptic model in which DSGCs
receive an inhibitory input that is spatially offset relative to the
excitatory input; moreover, the inhibition is nondirectional, being
activated equally well by image motion in the preferred and null
directions. During null-direction motion, the spatial offset means that
delayed inhibitory synapses at locations ahead of the stimulus are
activated and veto the excitation as the stimulus sweeps across the
receptive field. For preferred-direction motion, the inhibition trails
behind the stimulus and thus arrives too late to veto the excitation.
For this model to work, the inhibition must act locally within the
dendritic arbor of the DSGC. This occurs when the inhibitory reversal
potential is at, or close to, the resting potential of the cell, and
therefore the inhibitory input does not polarize the cell but
introduces a local increase in the membrane conductance, which reduces
or "shunts" nearby excitatory inputs. The inhibition that generates
direction selectivity appears to be divisive rather than subtractive
(Amthor and Grzywacz, 1991
), which is consistent with, but not
indicative of, a postsynaptic mechanism.
Such a postsynaptic model contrasts with a presynaptic model in which
the inputs to the DSGC are themselves directionally selective. There
are two basic versions of the presynaptic model: (1) the
excitatory inputs to the DSGC are larger in the preferred direction,
and (2) the inhibitory inputs to the DSGC are larger in the null
direction. These two versions could also coexist, with both the
excitation and inhibition being directional. Moreover, presynaptic and
postsynaptic mechanisms are not mutually exclusive and could
conceivably be combined within a single ganglion cell.
A study of rabbit DSGCs by Taylor et al. (2000)
showed that inhibition
acts directly on the ganglion cells and that the synaptic inputs were
balanced in the preferred and null directions. These results could be
explained parsimoniously if the inhibitory input was nondirectional,
thus favoring a postsynaptic mechanism of direction selectivity. A
recent study of turtle DSGCs by Borg-Graham (2001)
measured synaptic
conductance at different time points and then estimated the excitatory
and inhibitory components. These experiments supported a presynaptic
model by showing that the DSGCs receive excitatory inputs that are
already directional, although the inhibitory inputs did not contribute
to generating the direction selectivity.
Thus, the findings and conclusions from the turtle study are almost
diametrically opposed to those from the rabbit study, leading us to
undertake a similar conductance analysis of the light-evoked responses
of DSGCs in the rabbit retina.
 |
MATERIALS AND METHODS |
Animals and patch recording. The experiments comply
with the Australian Capital Territory Animal Welfare Act (1992) and
were approved by the Animal Experimentation Ethics Committee of the Australian National University. Dark-adapted, New Zealand White rabbits were surgically anesthetized, and the right eye was removed under dim-red illumination. The animal was then killed by anesthetic overdose. All subsequent manipulations were performed under infrared illumination. The front of the eye was removed, the eyecup was transected just above the visual streak, and the dorsal piece was discarded.
The retina was dissected from the sclera, and a 10 × 10 mm
section of central retina was adhered, photoreceptor-side down, to a
coverslip coated with CellTak (BD Sciences, Bedford, MA). The
whole-mount retina preparation was placed in a recording chamber (~0.5 ml volume) and perfused continually (~2 ml/min) with
oxygenated bicarbonate-buffered Ames medium, pH 7.4, at 33-37°C.
Patch electrodes were pulled from borosilicate glass to have a final
resistance of 4-8 M
.
For extracellular recording, the electrodes were filled with the Ames
medium. For intracellular recording, the electrodes were filled with
the following electrolytes: 110 mM Cs-gluconate or CsCl, 10 mM NaCl, 5 mM Na-HEPES, 1 mM
Cs-EGTA, 1 mM Na-ATP, 0.1 mM Na-GTP, and 10 mM QX-314 (Sigma-Aldrich). Cesium was used in place of
potassium to block voltage-gated potassium currents and thereby improve
the quality of the voltage clamp at positive potentials. The QX-314 was
included to block voltage-dependent sodium channels and abolished all
spiking activity within 1-2 min of establishing the whole-cell
configuration. The liquid junction potential of 10 mV was subtracted
from all voltages when the intracellular solution contained
Cs-gluconate.
Ganglion cells with a medium-large soma and a crescent-shaped nucleus
were targeted as potential DSGCs (Vaney, 1994
). The extracellular
electrode was applied to the soma under visual control, after a broken
patch-electrode was used to make a small hole in the overlying inner
limiting membrane. After establishing that the ganglion cell was an
On-Off DSGC and determining its preferred direction, the extracellular
recording electrode was removed, and an intracellular electrode was
applied to the same cell, again under visual control.
Light stimuli. Light stimuli were generated on a Barco
Systems monitor (refresh rate, 72 Hz) and focused onto the
photoreceptor outer segments through a 40 × [numerical aperture
(NA) 0.75] or 20 × (NA 0.35) Olympus water-immersion objective.
The stimulus contrast, defined as C = (Lmax
Lmin)/(Lmax + Lmin), was set between 0.3 and 1.0. The standard moving stimulus comprised a light or dark bar, moving
along its long axis at 800-1200 µm/sec on the retina. All light
stimuli were centered with respect to the tip of the recording
electrode and thus also with the soma of the ganglion cell. Relative
timing of the responses in the preferred and null directions is made
directly from the recorded responses without correction for possible
spatial offset of the receptive fields. Justification for this is
presented in the results. The width of the bar was 250 µm, and its
length was set to achieve good temporal separation of the leading- and
trailing-edge responses. These responses are clear in the Figures, but
more often a distinction will be made between the on-response and the
off-response. Because the stimulus could be either a light or dark bar,
the leading-edge response could be either an on-response or an
off-response.
Conductance analysis. Conductance analysis methods were
similar to those described by Borg-Graham (2001)
. It was assumed that the light-evoked synaptic inputs comprised two components: an excitatory component because of activation of nonselective cation channels having a reversal potential, Ve = 0 mV, and an inhibitory component with a reversal potential,
Vi, at the chloride equilibrium potential
of approximately
65 mV. The synaptic currents resulting from each of
these components obey Ohm's law such that
Ie = ge(t)(V
Ve), and
Ii = gi(t)(V
Vi), where the inhibitory and
excitatory conductances, gi(t)
and ge(t), respectively, are
both functions of time. We assume that the DSGC is isopotential, so
that the synaptic currents sum linearly, and the total light-evoked
synaptic current is:
|
(1)
|
where gT(t) = ge(t) + gi(t), and
Vr(t) is the observed reversal
potential. Thus, Vr(t) is the
weighted sum of Ve and
Vi such that:
|
(2)
|
Inspection of Equation 2 reveals that if the time courses of
gi and ge are
equal (can be superimposed under scalar multiplication), then
Vr(t) = constant (see Fig. 2).
Equation 2 can be rearranged to separate the excitatory and inhibitory
components from gT(t) and
Vr(t), where:
|
(3)
|
|
(4)
|
Separation of the components required assigning values to the
reversal potentials for excitation and inhibition,
Ve and Vi, in
Equations 3 and 4. Application of these equations to the biophysical system studied here places constraints on
Ve and Vi.
First, because of the ionic selectivity of the channels and the ionic
gradients in the neurons, Vi < Ve. This will also be true when the
high-chloride intracellular solutions are used, because it is unlikely
that the chloride concentration within the dendrites will attain the chloride concentration in the recording electrode, because of chloride
extrusion across the dendritic membranes (Vardi et al., 2000
). A second
constraint arises because gi,
ge
0, which means that
Vi
Vr
Ve . A third constraint was on the
inner limits of Ve and
Vi, such that
Ve
0 mV and
Vi
65 mV. These inner limit values
for Ve and Vi
are expected if there were no voltage clamp errors. In practice, if
Vr reached levels >0 mV, then
Ve was set to equal or just exceed the
most positive excursion of Vr. Similarly,
if Vr dipped below
65 mV, then
Vi was set to equal or be just below the
most negative Vr value.
Ve and Vi
were assigned values to the nearest 5 mV. For high-chloride
intracellular solutions, Vi was allowed to
be more positive than
65 mV but was only set positive enough to
ensure that gi,
ge
0 at all times.
Errors in the assignment of the reversal potentials will result in
quantitative errors in the estimates of the conductance ratios. The
cell illustrated in Figure 2 provides a convenient example. If we were
to set Vi to
45 mV, approximating the
observed Vr during null-direction motion,
then according to Equation 4, in the null direction
ge
0. Because
Vr approaches 0 mV in the preferred
direction, indicating ge > 0, an almost
infinite preferred-null conductance ratio for
ge would be predicted. Therefore, the
constraint that Vi not exceed
65 mV is
conservative, but it is important to note that the qualitative result
is unchanged: ge remains directional.
The synaptic conductance and reversal potential were evaluated as
follows. Synaptic currents were elicited by moving the stimulus in the
preferred and null directions at a series of holding potentials starting at
100 mV and incrementing by 15 mV to +20 mV. From these
data, current-voltage (I-V) relations of
the net light-evoked current were constructed. The resting membrane
I-V relation was estimated by measuring the
average membrane current level over a 0.15 sec interval at the start of
each voltage pulse, before the light-evoked response. This resting
I-V relation was subtracted from
I-V relations constructed every 10 msec for the
duration of the synaptic responses to produce the net light-evoked
I-V relations. The slope
(gT) and intercept
(Vr) were determined from the light-evoked
I-V relation at each time point, thus producing discrete estimates of the functions
gT(t) and
Vr (t). An uppercase "G"
with corresponding subscript denotes the integrals of the conductance
functions. In most cells, multiple I-V runs were
analyzed to ensure that the responses were reproducible.
Because thousands of I-V relations were
generated, it was not practical to fit and inspect the
I-V manually at each time point. Therefore, an
automated routine was implemented using Igor Pro to perform linear
regression on the I-V relations (Wavemetrics, Lake Oswego, OR). In some cells, the I-V
relations at the most negative and most positive voltages were
sublinear, tending to bend toward the voltage axis. At negative
potentials, the nonlinearity could reflect activation of NMDA
receptors, which are known to be expressed in these neurons (Kittila
and Massey, 1997
). The negative rectification often disappeared during
the recording period. This phenomenon will not be examined further
here. Because of the sublinear behavior at the extremes of the
I-V relations, linear regression over the full
voltage range will not accurately represent the true synaptic
conductance or reversal potential. To obviate this difficulty, we used
two alternative procedures. In the first, I-V
relations were fit over a fixed voltage range from
70 to
10 mV. In
the second procedure, we allowed the automated routine to "choose"
the best fit. All possible subsets of five to six contiguous points
(from a possible nine spanning the voltage range
100 to +20 mV) were
fitted to each I-V, and the fit that produced
the largest value for gT was accepted.
Using the largest value for gT introduced
a slight systematic bias toward larger conductances but avoided larger
errors that would be introduced by the nonlinearities at the extremes
of the I-V relations. The peak conductance
estimates were essentially identical, although, as expected, the second
method produced slightly larger conductance estimates at low levels
when the signal became noisy.
A direction-selectivity index, D, was calculated as a
measure of the directional tuning. Extracellular action potentials were recorded in each of 8 or 12 stimulus directions, equally spanning 360° at 45 or 30° intervals. D was defined for the
action potential discharges as:
|
(5)
|
where
i are vectors pointing in
the direction of the stimulus and having length,
ri, equal to the number of spikes recorded during that stimulus. D can range from 0, when the responses
are equal in all stimulus directions, to 1, when a response is obtained only for a single stimulus direction. Thus, values for D
approaching 1 indicate asymmetric responses over a small range of
angles and therefore sharper directional tuning.
 |
RESULTS |
Directional tuning
The preferred-null axis of each cell was established from
extracellular recordings. A stimulus bar was swept across the receptive field in 12 directions, spaced at 30° intervals (Fig.
1). The stimulus direction that generated
the most action potentials was designated as the preferred direction,
and the opposite direction was designated as the null direction. This
preferred-null axis was used for all further stimuli during subsequent
patch-clamp recordings. The preferred direction was calculated more
precisely, during later analysis, from the vector sum of the leading-
and trailing-edge spikes (Fig. 1, arrow). In a sample of 10 cells, the average absolute difference between the estimated
preferred-null axis and the calculated axis was 12 ± 8°, with
the largest difference being 28°. The calculated preferred directions
for the on- and off-responses agreed very closely, differing by only
0.3 ± 11° in a group of 11 cells. Directional tuning, evaluated
as defined by Equation 5 in Materials and Methods, was the same for the
on- and off-responses (Table 1).

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Figure 1.
Determination of the preferred-null axis. The
distance from the origin represents the total number of spikes produced
by the leading edge ( ) or trailing edge ( ) of a single stimulus.
The surrounding traces show the extracellular responses
for the corresponding directions. The first burst of spikes, produced
by the leading edge of the stimulus bar, is the off-response, because
the moving bar was darker than the background (0.7 contrast). The
second burst of spikes, produced by the trailing edge, is the
on-response. The preferred directions for the on- and off-responses,
calculated from the vector sum of the data points, were
indistinguishable in this cell, and therefore they are marked by a
single arrow, the length of which has been truncated;
the lengths of the vector sums were 117 spikes for the on-responses and
120 spikes for the off-responses.
|
|
Synaptic current-voltage relations
After the DSGC was patched, the membrane potential was stepped to
a range of levels, and the visual stimulus was swept in opposite
directions along the preferred-null axis. At negative potentials, the
peak inward currents in the preferred and null directions were
coincident both for the on- and off-responses, suggesting that the
receptive field of the DSGC was well centered with respect to the
stimulus (Fig.
2A,B).
Therefore, comparisons of response timings in preferred and null
directions are made directly from the records.

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Figure 2.
Analysis of the membrane conductance during motion
along the preferred-null axis for a single stimulus.
Blue data represent preferred direction;
red data represent null direction. A,
B, Synaptic currents elicited by a bright bar moving in
the preferred and null directions at a series of holding potentials
starting at 100 mV and incrementing by 15 mV to +20 mV. The
broken vertical lines delineate the start of the
leading- and trailing-edge responses. Because the stimulus bar was
brighter than the background, the leading-edge response is an
on-response, and the trailing-edge response is an off-response. The
symbols above the records show the time points for
measuring the current-voltage relations shown in E. The
solid lines show examples of linear fits used to
determine the synaptic reversal potential
Vr and the synaptic conductance
gT. C, D,
I-V relations were measured at 10 msec
intervals to plot out the time dependence of these parameters.
F, Vr in another cell
showing the relative timing of extracellular action potentials during
preferred-direction motion and recorded before applying the patch-clamp
electrode. G, H,
Vr and
gT recorded during negative-contrast
stimuli showed characteristics similar to those for positive
contrasts.
|
|
The sets of current records for the preferred and null directions (Fig.
2A,B) show systematic changes
in the time course of the responses as a function of the holding
potential, reflecting the changing balance of excitation and inhibition
that occurs as the stimulus sweeps across the receptive
field. In particular, at positive holding potentials, where the
inhibitory inputs are more evident, the pronounced differences in the
current wave-forms for preferred and null directions support the
hypothesis that postsynaptic inhibition is important for generating
direction selectivity (Taylor et al., 2000
).
A quantitative analysis of these responses was performed by generating
I-V relations of the net light-evoked current
every 10 msec for the duration of the visual responses. The
I-V relations were essentially linear over much
of the voltage range (Fig. 2E), and the conductance
was estimated by fitting a straight line to each
I-V plot. The fitted lines provided two
parameters at each time point: the intercept, giving an estimate of the
synaptic reversal potential Vr (Eq. 1;
Fig. 2C,F,G), and the
slope, giving the size of the light-evoked conductance
gT (Fig.
2D,H).
Synaptic reversal potential
The trajectory of the synaptic reversal potential was similar in
every DSGC. In the preferred direction, Vr
ramped up rapidly toward 0 mV during the early phase of the response,
to both the leading edge (on-response) and the trailing edge
(off-response) of a positive-contrast stimulus (Fig. 2C,
blue line). Vr then ramped down
during the late phase of the response, typically ending around
50 mV.
The occurrence of the positive reversal potential correlated precisely
with the timing of extracellular spikes recorded before the
intracellular recording, as shown for another cell (Fig.
2F).
In the null direction, Vr generally
remained negative, consistent with the dearth of spikes in the
extracellular recordings. During the late phase of the off-response,
however, Vr consistently ramped toward
more positive values, producing a crossover in the reversal potential
trajectories. When a positive-contrast stimulus was used, the crossover
occurred during the late phase of the trailing-edge response (Fig.
2C,F, X arrow). When a
negative-contrast stimulus was used, the crossover occurred during the
late phase of the leading-edge response (Fig. 2G, X
arrow). The presence or absence of the crossover was robust enough
to allow the sign of the contrast edge to be reliably determined by
inspection of the Vr records. Such
crossover was never observed in the reversal potential trajectories of
the on-response, which superimposed during the late phase of the
response, indicating that the synaptic currents were not direction
selective at these times. These distinct characteristics suggest that
there are basic differences in the synaptic mechanisms underlying
direction selectivity for the on- and off-responses.
Synaptic conductance
The peak conductance was larger in the null direction
than the preferred direction (Fig.
2D,H). This would be
compatible with a presynaptic model of direction selectivity in which
inhibition was larger in the null direction, with no change in the time
course of the inputs. However, a greater peak conductance in the null direction would also be compatible with a postsynaptic model in which
the closer temporal correlation of inhibition and excitation in the
null direction results in greater summation of the inhibitory and
excitatory conductances, with no change in their relative magnitudes.
The off-response may satisfy the latter possibility. Although the peak
off-conductance was smaller in the preferred direction, the waveform
was consistently broader (Fig.
2D,H, blue line). Thus
it is possible that the same total conductance is activated, but with
differing temporal dispersion. In contrast, the on-response appeared to
have a very similar time course in the preferred and null directions,
more in line with a presynaptic mechanism. The reversal potential
trajectories support this interpretation. During the on-response, the
reversal potential in the null direction was essentially constant,
indicating that excitation and inhibition had very similar time courses
(Eq. 2). During the off-response, the reversal potential in the null
direction changed continuously, consistent with different
spatiotemporal characteristics for the two inputs, as expected for a
postsynaptic mechanism.
For a purely postsynaptic model, the total synaptic conductance
should be equal in the preferred and null directions, whereas for
presynaptic mechanisms, there should be an imbalance. We examined this
quantitatively by integrating the conductance records in the two
directions. When the preferred GT is
plotted against the null GT (Fig.
3), many of the points lie below the
unity line, indicating that the integrated conductance was slightly
larger in the null direction, averaging 118 ± 23% for 28 DSGCs.
Although the difference was small and not shown by some cells, it
suggested that there might be presynaptic components to the directional mechanism.

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Figure 3.
Integrated conductance. Each point
shows a single measurement of the total integrated conductance,
GT. The solid symbols
show averages of one to three determinations in the 16 cells that were
analyzed further. The open symbols show the average of
one to three measurements in 12 additional cells.
|
|
Excitatory and inhibitory components
To identify whether the asymmetry lies in the excitatory or
inhibitory inputs to the ganglion cells, we resolved their separate contributions to the conductance records. Similar to previous electrophysiological studies, we found that the on-response of a DSGC
could be quite different in size from the off-response, with the
off-responses tending to be larger. To make a meaningful comparison
between the on- and off-responses, cells with markedly different
responses were excluded from the analysis, leaving a subset of 16 cells
with broadly comparable responses (Fig. 3,
). For these analyzed
cells, the GT of the on-responses in both directions ranged from 21 to 131% of the
GT of the off-responses (mean = 49 ± 26%).
To separate the conductance records into excitatory and inhibitory
components (Eq. 3 and 4), we made the following assumptions (see
Materials and Methods). (1) The DSGC is isopotential; theoretical results from Koch et al. (1990)
indicate that this approximation will
result in errors in the magnitude but not the ratio of the conductances
(see Discussion). (2) Synaptic and dendritic membrane conductances are
linear. (3) There are only two synaptic conductances contributing to
the responses: excitation and inhibition. The reversal potentials for
excitation and inhibition were assigned for each cell as described in
Materials and Methods. In the sample of 16 cells,
Ve = +4.3 ± 5.5 mV with a range 0 to
+20 mV, and Vi =
65.7 ± 2.3 mV
with a range
65 to
75 mV. (4) The excitatory and inhibitory
conductances are greater than or equal to zero.
The calculated excitatory and inhibitory components provide a rationale
to account for the time-dependence of Vr
and gT. The qualitative features described
here were similar for all cells, although there were marked
quantitative differences from cell to cell. The peak amplitude of the
excitatory conductance, ge, tended to be
larger in the preferred direction, but the overall time course was
independent of direction for both the on- and off-responses (Fig.
4A,E).
By contrast, the time course of the inhibitory conductance,
gi, differed dramatically in the preferred and null directions (Fig.
4B,F).

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Figure 4.
Separation of gT
into ge and
gi. Each trace is the
response to a single stimulus. Comparison of the time course of
ge (A, E) and
gi (B, F) for
positive (A, B) and negative (E,
F) contrast stimuli. C, D,
G, H, The same records replotted to
compare preferred- and null-direction responses. The solid
lines under the records delineate the intervals used to
calculate the direction-selective integrals in Figure 5.
|
|
For the off-response, the inhibition in the preferred direction was
significantly delayed compared with the null direction, consistent with
an asymmetric spatial offset (Fig.
4B,F). For the on-response,
a distinction must be made between positive- and negative-contrast
stimuli. During negative-contrast stimuli, the inhibition was smaller
in the preferred direction but its time course was unchanged,
suggesting that presynaptic mechanisms control this input (Fig.
4B). During positive-contrast stimuli, inhibition
comprised an early transient phase (Fig. 4F,
delineated by the solid line beneath the trace) followed by
a sustained phase (Fig. 4F, delineated by the
broken line beneath the trace). The magnitude of the early
phase was strongly modulated in opposite directions, also consistent
with presynaptic direction-selective mechanisms. The late phase of the
on-response was nondirectional and superimposed for opposite-direction
stimuli. Moreover, synaptic currents active during this late phase did
not generate spikes in either direction (Fig. 2F). In
contrast, a sustained phase was not present during on-responses
elicited during negative-contrast stimuli (Fig. 4B),
and it was clear during such responses that, unlike the off-responses,
the inhibition is not delayed in the preferred direction. Although it
is more difficult to discern during positive-contrast stimuli, the
on-responses appeared to lack any inhibitory delay in the preferred
direction because, as noted above, the late phase of the on-response
was nondirectional (Fig. 4F).
The reversal potential trajectories can be understood in terms of the
relative trajectories of the excitatory and inhibitory conductances in
each direction. In the preferred direction, excitation dominated
because the inhibition was either reduced (on-response) or delayed
(off-response) (Fig. 4C,G). In the null
direction, Vr was essentially constant
during the on-response because the excitation and inhibition had
similar time courses (Fig.
4D,H). By contrast,
Vr tended to increase during the
off-response, leading to the characteristic crossover of the
Vr trajectories. The crossover resulted
from a fall in the ratio of inhibition to excitation late in the
response, attributable to an earlier onset and a narrowing of the
inhibitory component. In summary, on-responses appeared to be dominated
by a directional inhibitory input, whereas off-responses displayed both
a directional inhibitory input and a change in temporal correlation as
expected for a postsynaptic mechanism.
The inhibition during the on-responses was invariably larger in the
null direction, but it is not clear whether other factors contribute to
the imbalance in the total conductance shown in Figure 3. Therefore, we
integrated the two conductance components, ge and
gi, separately for the on- and
off-responses. The integrals for the on-responses during
positive-contrast stimuli were calculated over the transient phase (see
above), delineated by the solid lines beneath the records in
Figure 4F, thereby avoiding the sustained nondirectional inhibition active late in the on-response. Inclusion of
this nondirectional component during the analysis only reduced the
estimated asymmetry of the on-inhibition.
The excitatory component was larger in the preferred direction (Fig.
5A), and on average, this
presynaptic asymmetry was similar for the on- and off-responses (Table
1). Similarly, the inhibitory component was consistently larger in the
null direction (Fig. 5B). These differences are illustrated
more clearly when the preferred/null Ge ratio is plotted against the
null/preferred Gi ratio (Fig. 5C). For a purely postsynaptic scheme, the points should
cluster around the intersection of the unity lines. For the great
majority of points, both the Ge ratio
and the Gi ratio were greater than unity, indicating that the cells received both directional excitation and directional inhibition, consistent with their preferred direction. The off-responses clustered nearer the intersection than the
on-responses, indicating that the presynaptic mechanisms were more
potent for the on-responses. The mean values of the
Ge and
Gi ratios for the on- and
off-responses are shown in Table 1, which also shows the
preferred-null ratio of the total directional conductance, GD, defined as the sum of
Ge and
Gi evaluated over the "On" and "Off" intervals delineated in Figure 4.

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Figure 5.
Integrals of the conductance
components for the on-response (A, ) and the
off-response (B, ). Note the change in scale between
A and B. The unity slope
line shows the expectation for equal responses in the preferred
and null directions. C, Conductance ratios obtained from
the data in A and B; the on-off pair for
an outlier is connected by a dashed line.
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For the off-responses, the directional excitation and directional
inhibition were of equal magnitude, and thus the total off-conductance was balanced for the preferred and null directions. For the
on-responses, directional inhibition tended to be stronger, and thus
the total on-conductance was greater in the null direction. The
imbalance observed in Figure 3 for the integrated conductance can be
attributed, therefore, mainly to the on-response, diluted by the larger
off-response, and by inclusion of the nondirectional conductance active
during the late phase of the on-response. The broad range of ratios in Figure 5C is noteworthy, indicating that the cells can be
direction selective when they receive nondirectional excitation or
nondirectional inhibition.
The extent of the spatial offset of the inhibition was estimated from
the timing differences of the inhibitory peaks. The calculations assume
that the receptive field is centered with respect to the stimulus
(which is aligned to the soma) and that the synaptic delays are the
same in the null and preferred directions. Consistent with this
assumption, the excitatory conductance peaks were coincident in the
preferred and null directions (Fig.
4A,E). The absolute
peak-conductance time, relative to the start of a stimulus trial, was
measured for excitation and inhibition in the preferred and null
directions. The difference, dT, preferred minus null was
converted into an equivalent spatial offset; for a stimulus speed of
µm/sec, the spatial offset was estimated as dX =
· dT/2. The only spatial offset that diverged
significantly from zero was that for the inhibition during the
off-response, for which dX = 160 ± 56 µm (Fig.
6, Table 1). Because the excitatory conductance peaks were coincident in the null and preferred directions, the spatial offset of the inhibition was also estimated from the timing
differences between the excitation and inhibition in a given direction.
This does not assume that the receptive field is centered relative to
the stimulus. The derived spatial offset for the inhibition during the
off-response in the null direction averaged 148 ± 48 µm, in
close agreement with the figure above.

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Figure 6.
The off-inhibitory conductance is offset in the
null direction. The symbols show the inferred spatial
offset, dX, calculated from the shift in the
peak-conductance time observed for preferred- and null-direction
motion. A positive spatial offset means that the conductance was
delayed during preferred-direction motion relative to null-direction
motion. , On-responses; , off-responses. The on-response data are
a subset of 9 of the 16 cells in which the preferred
gi displayed a clear peak early in the
response. Also shown are the mean and SDs for the groups of points.
Only the inhibitory off-conductance is significantly different from
zero.
|
|
High chloride
Previously, we showed that the inhibition acts directly on the
dendrites of the DSGC, and we argued that the direction selectivity is
generated postsynaptically (Taylor et al., 2000
). The key evidence was
the apparent loss of directional responses observed at
30 mV when the
patch electrode contained a high chloride concentration (Fig.
7A,C).
The conductance analysis provides further insights into the effects of
high intracellular chloride (Fig.
7B,D). At the commencement of patch
recording, the Vr trajectory was
similar to that observed in control cells (Fig. 7B).
Approximately 7.5 min later,
Vr(t) had shifted to more
positive potentials, with little change in the conductance (Fig.
7D), and the crossover was still evident during the late
phase of the off-response. The main effect of the high chloride
appeared to be a shift in Vi. In five
cells, Vi and
Ve were initially
63 ± 7 mV
and +8 ± 4 mV, but 2-6 min later,
Vi and
Ve were set to
28 ± 5 and
18 ± 11 mV to satisfy assumption (4) above. The high chloride did
not change the magnitude of the excitatory and inhibitory conductances that impinge on the DSGC; thus, the total integrated conductance did
not change significantly from the initial value. Under physiological conditions, the positive reversal potential for inhibition tends to
generate spikes in the null direction, thus reducing direction selectivity.

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Figure 7.
Effect of high intracellular chloride.
A, B, Records in response to preferred
(blue) and null (red) stimuli at the
commencement of the whole-cell recording. C,
D, Similar data obtained 7.5 min later. The shift in
Vi is evident, but the overall time
course and magnitude of the conductances are unchanged.
|
|
 |
DISCUSSION |
Locus of direction selectivity
The results reported here indicate that direction selectivity is
generated by the combination of three distinct synaptic asymmetries: (1) a presynaptic mechanism producing stronger excitation in the preferred direction, (2) a presynaptic mechanism producing stronger inhibition in the null direction, and (3) postsynaptic interaction of
the excitation with spatially offset inhibition. The three mechanisms
were not uniformly expressed by the on- and off-responses, although the
extracellularly recorded responses were very similar. The on-responses
appeared to rely on presynaptic mechanisms. The off-responses were more
consistent with a mix of presynaptic and postsynaptic mechanisms.
For both the on- and off-responses, the precise mix of presynaptic and
postsynaptic mechanisms was quite variable, and in some cells one or
another of the presynaptic components was absent (points close to the
unity lines in Fig. 5). This variability raises the possibility that
DSGCs are programmed to generate a specific functional phenotype during
development but that there is considerable latitude in the eventual mix
of synaptic mechanisms used to achieve this goal. The large variability
in the contribution from each of the three mechanisms, both among
different cells and between the on- and off-responses, suggests that no
single mechanism is essential for the generation of direction
selectivity. Moreover, the mechanistic variability argues against the
idea that different mechanisms are required to process different types of visual stimuli (Grzywacz et al., 1998
). Thus, the robustness of the
directional trigger feature over a wide range of stimulus conditions
(Barlow and Levick, 1965
; Wyatt and Daw, 1975
) probably reflects
robustness in the individual synaptic mechanisms.
A postsynaptic mechanism reliant on shunting inhibition requires that
the synapses be electrotonically remote from the soma for direction
selectivity to be generated locally within the dendritic tree (Torre
and Poggio, 1978
; Koch et al., 1983
). The linearity of the
I-V relations and the clear reversal potentials
observed at positive potentials seem inconsistent with an
electrotonically extensive dendritic arbor. However, the dendritic
arbors were probably more electrotonically compact during the
recordings shown here, because the intracellular solution contained
cesium ions rather than potassium ions. Further experiments will need
to be performed using potassium-based intracellular solutions to
determine whether the off-arbors really are electrotonically extensive. The off-dendritic arbor has a greater density of thin terminal dendrites than the on-dendritic arbor and is located more distally from
the soma (Vaney, 1984
; Oyster et al., 1993
). Both of these factors
could favor a more electrotonically extensive arbor. Moreover, the
off-dendrites can arise from on-dendrites of any branching order, and
thus any postsynaptic mechanism operating within the on-arbor may
inappropriately shunt excitation being transmitted from the
off-arbor.
The conductance analysis revealed that both the excitatory and
inhibitory inputs to DSGCs may be tuned directionally and that the
response bias is consistent with the preferred direction of the cells.
In an earlier study we argued for a simpler scheme involving only
postsynaptic mechanisms (Taylor et al., 2000
). Yet the study reported
here presents new evidence for presynaptic mechanisms. How can this be
reconciled with the previous findings? The earlier study attempted to
account for the behavior of the DSGCs by the most parsimonious
interpretation, which involved testing the data against each possible
mechanism rather than combinations of mechanisms. In the first
experiment, depolarization of the DSGCs from
70 to
30 mV increased
the direction selectivity of the cell, providing evidence against the
presynaptic excitatory mechanism. In the second experiment, raising the
inhibitory reversal potential with high intracellular chloride mostly
abolished the direction selectivity, consistent with a postsynaptic
mechanism. If the response had relied on a presynaptic mechanism, then
the high chloride should have either reversed the direction selectivity (for a directional inhibitory input) or not affected the direction selectivity (for a directional excitatory input). The parsimonious conclusion of Taylor et al. (2000)
, that there appeared to be no
asymmetry in the synaptic inputs to the DSGCs, is consistent with the
present finding that the total conductance is almost equal for the
preferred and null directions (Fig. 3). This balance of the conductance
in the preferred and null directions is attributable partly to the
complementary balance of directional excitation and directional
inhibition and partly to the tendency for off-responses to be larger, a
factor that was not controlled for previously.
Errors in conductance estimates in a non-isopotential neuron
To separate the conductance records into excitatory and inhibitory
components, we assumed that the DSGCs were isopotential (Anderson
et al., 2000
; Borg-Graham, 2001
). However, a simple test confirmed the
expectation that this is an approximation. During a small voltage step,
the capacitive transient in the DSGCs required a sum of exponentials
to be fitted accurately (data not shown), demonstrating that
these cells are not isopotential. In a non-isopotential cell, a point
voltage clamp at the soma will not faithfully resolve synaptic currents
impinging on the dendritic arbor. Because the inputs become more
electrically distant, their visibility to an electrode at the soma deteriorates.
Koch et al. (1990)
showed that the actual conductance at the dendritic
site is always larger than the conductance measured at the soma but
that this error is independent of the synaptic reversal potential, even
for mixed excitatory and inhibitory inputs. Thus, even if there are
nonlinear shunting interactions between inhibition and excitation at
some given potential, this will not affect the estimate of the
conductance ratios of the two inputs determined over a range of
potentials. The theoretical approach used by Koch et al. (1990)
assumed
that the time-constants of the synaptic inputs are long compared with
the time-constants for the decay of voltage transients within the
dendritic arbor. This requirement is adequately satisfied in the
present case. The capacitive transients at the onset and termination of
a voltage step are barely visible in the records shown in Figure 2
because they decayed rapidly compared with the time course of the
light-evoked synaptic currents.
Separation of the conductance into excitatory and inhibitory components
also required estimates for the reversal potentials of the two inputs.
These were not measured directly and therefore were set to reasonable
values: 0 mV for excitation and
65 mV for inhibition. Adjustment was
sometimes required to ensure that both conductance components remained
positive. Changing either Ve or
Vi will change the relative magnitude of
the associated conductance (Eq. 3 and 4). Thus, uncertainty in the
reversal potentials implies uncertainty in the magnitude of the
conductances. However, this uncertainty does not affect the conclusions
from the data based on the ratios of the conductances, because the same
reversal potentials were used for analysis in the preferred and null directions.
The estimation of the presynaptic components relies on the ratio of
conductances measured in the preferred versus null directions. Because
the total light-evoked conductance was essentially constant in the
preferred and null directions (Fig. 3), the conductance errors will be
independent of stimulus direction. The conductance errors for the
off-responses, however, are complicated by the delay in the inhibitory
conductance. The temporal offset of inhibition relative to excitation
in the preferred direction will tend to reduce the conductance errors
of both inputs, whereas the temporal correlation of the inputs in the
null direction will tend to increase the errors. Thus, the excitatory
ratio will tend to be overestimated, and the inhibitory ratio will tend
to be underestimated. Without quantitative modeling, it is not possible
to say how large these errors in estimation might be, but they are
probably not large, because the observed conductance ratios were not
correlated with the magnitude of the total conductance.
Implications for synaptic circuitry
Our results indicate that direction selectivity for both on- and
off-responses is generated to some extent by a push-pull mechanism,
where complementary changes in excitation and inhibition drive the cell
to a greater or lesser degree with only small changes in overall
membrane conductance (Watanabe and Murakami, 1984
; Anderson et al.,
2000
). However, although this study characterized the synaptic inputs
to the DSGCs in unprecedented detail, our results raise many questions.
For example, the results do not reveal whether the stronger excitation
in the preferred direction arises from preferred-direction facilitation
or from null-direction inhibition acting presynaptically on the
excitatory inputs. Nor do the results tell us whether both the
glutamatergic input from cone bipolar cells and the cholinergic input
from starburst amacrine cells are directional and, if so, whether
similar synaptic mechanisms are responsible for their direction
selectivity. For example, it has been proposed that the terminal
synapses on the radial dendrites of starburst amacrine cells will be
more strongly activated by centrifugal stimulation than by centripetal
stimulation (Borg-Graham and Grzywacz, 1992
), but such a structural
mechanism is unlikely to apply to the compact axon terminal of a
bipolar cell.
Many of the neuronal models of direction selectivity that have been put
forward invoke a key role for starburst cells, which are two
mirror-symmetric populations of amacrine cells that cofasciculate with
the bistratified DSGCs (Vaney et al., 1989
; Vaney and Pow, 2000
). These
amacrine cells contain both acetylcholine and GABA and thus could
contribute to both the excitatory and inhibitory mechanisms (Vaney et
al., 1989
; Borg-Graham and Grzywacz, 1992
; Grzywacz et al., 1997
). The
role of starburst cells within the direction-selective circuit is
controversial, however, with one report claiming that they are critical
(Yoshida et al., 2001
) and another claiming that they are not essential
(He and Masland, 1997
). Available evidence indicates that the two
populations of starburst cells are structurally and functionally
equivalent (except for the sign of their responses) (Bloomfield, 1992
),
and therefore they may underlie the presynaptic mechanisms that are
common in the on- and off-responses. In contrast, a different type of
amacrine cell branching only in the off-sublamina may mediate the
spatially offset inhibition that distinguishes the off-responses from
the on-responses. A change in the timing of the off-inhibition in the
preferred and null directions predicts a spatial offset of ~160 µm,
which is approximately half the dendritic diameter of a starburst cell
in mid-peripheral retina (Tauchi and Masland, 1984
; Vaney, 1984
).
Our results show that as far as the spike output is concerned, the on-
and off-dendritic arbors of a DSGC perform essentially the same
computation but use different combinations of synaptic mechanisms. The
challenge for future research is to identify the synaptic circuitry
that generates the directional signals, both presynaptically in the
excitatory and inhibitory neurons and postsynaptically in the DSGCs.
This is the same challenge that faced Barlow et al. (1964
, 1965
)
almost 40 years ago, when they first characterized the DSGCs in rabbit
retina; however, we now know that the synaptic mechanisms underlying
direction selectivity are more diverse than they had envisaged.
 |
FOOTNOTES |
Received Feb. 20, 2002; revised June 10, 2002; accepted June 11, 2002.
This work was supported by National Health and Medical Research
Council grants to D.I.V. and W.R.T. We thank an anonymous reviewer and Dr. Lyle Graham for their constructive criticisms that
allowed us to improve this manuscript.
Correspondence should be addressed to Dr. W. Rowland Taylor,
Neurological Sciences Institute, Oregon Health and Sciences
University-West Campus, 505 Northwest 185th Avenue, Beaverton, OR
97006. E-mail: taylorw{at}ohsu.edu.
 |
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