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The Journal of Neuroscience, May 1, 1999, 19(9):3567-3579
Patterns of Synchronization in the Superior Colliculus of
Anesthetized Cats
Michael
Brecht,
Wolf
Singer, and
Andreas K.
Engel
Max-Planck-Institut für Hirnforschung, 60528 Frankfurt,
Germany
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ABSTRACT |
Sensorimotor transformations in the mammalian superior colliculus
(SC) are mediated by large sets of distributed neurons. For such
distributed coding systems, stimulus superposition poses problems
attributable to the merging of neural populations coding for different
stimuli. Such superposition problems could be overcome by
synchronization of neuronal discharges, because it allows the selection
of a subset of distributed responses for further joint processing. To
assess the putative role of such a temporal binding mechanism in the
SC, we have applied correlation analysis to visually evoked collicular
activity. We performed recordings of single-unit and multiunit activity
in the SC of anesthetized and paralyzed cats with multiple electrodes.
Autocorrelation analysis revealed that collicular neurons often
discharged in broad (20-100 msec) bursts or with an oscillatory
patterning in the - and -frequency range. Significantly modulated
cross-correlograms were observed in 50% (128 of 258) of the collicular
multiunit recording pairs, and for these pairs significant correlations
occurred in 44% of the stimulation epochs. For the single-unit pairs,
significant interactions were observed in 14 of 48 cases studied
(29%). Collicular cross-correlograms were often oscillatory, and these
oscillations covered a broad frequency range of up to 100 Hz, with a
predominance of oscillation frequencies in the - and -range. In
the majority of the significant correlograms (64%) the phase lag of
the center peak was <5 msec. The probability of collicular
synchronization increased with the overlap of the receptive fields and
the proximity of the recording sites. Correlations were also observed
between cells in the superficial and deep SC layers. Collicular
synchronization required activation of the respective cells with a
single coherent stimulus and broke down when the neurons were activated
with two different stimuli. These data are consistent with the notion
that collicular synchrony could define assemblies of functionally
related cells.
Key words:
synchronization; cell assembly; oscillation; cat; superior colliculus; correlation analysis
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INTRODUCTION |
A wide variety of experimental
findings support the idea that sensorimotor transformations in the
mammalian superior colliculus (SC) are mediated by large populations of
distributed neurons (McIlwain, 1991 ). The large size of the receptive
and movement fields of collicular cells implies that individual sensory
stimuli and orienting movements are associated with the activation of a
large set of widely distributed neurons. Experiments based on focal
pharmacological inactivation of parts of the SC demonstrate directly
the distributed nature of collicular motor commands (Lee et al., 1988 ).
The inactivation of a small part of the collicular motor map influences
the metrics of a wide range of eye movements, indicating that movement
parameters are specified by the joint and graded activation of large
and distributed sets of neurons rather than by a small set of maximally
activated cells. Inactivation and stimulation experiments suggest that
the parameters of collicular orienting responses are determined by the
average of the graded vectors represented by the population response.
Such a distributed coding mechanism is robust against the loss of
single processing elements and by means of averaging achieves great
precision even with noisy processing elements.
However, in distributed coding systems ambiguities arise if multiple
nearby stimuli are to be encoded because of the possibility that the
respective populations of activated neurons overlap. If neural
populations coding for different stimuli merge, this results in a loss
of stimulus-specific information (von der Malsburg, 1986 ). To cope with
this superposition problem, a mechanism is required to demarcate the
neuron populations coding for different stimuli. Precise
synchronization of neuronal discharges could accomplish the required
segregation of population responses, provided that cells coding for one
stimulus fire in synchrony but are not discharging synchronously with
cells coding for another stimulus. In this way, spatially overlapping
population responses can be disambiguated by rapid multiplexing on a
time scale that is shorter than the overall duration of the responses
(von der Malsburg, 1986 , 1994 ). Support for such a mechanism comes from
experiments on the visual cortex, which suggest that synchronization of
neuronal responses serves the integration of activity into coherent
representational states and the selection of distributed responses for
further joint processing (Singer and Gray, 1995 ; Engel et al., 1997 ;
Singer et al., 1997 ).
The goal of the present study was to investigate whether response
synchronization occurs also in the SC and, if so, whether it exhibits a
stimulus dependence compatible with a putative function in the
disambiguation of population responses. To this end, we investigated
with multielectrode recordings the temporal relations among collicular
responses by applying cross-correlation techniques to visually evoked
activity in the SC of anesthetized cats. To test the hypothesis that
synchronization serves the disambiguation of overlapping populations,
we analyzed whether collicular synchronization reflects the gestalt
laws of perceptual grouping (Gray et al., 1989 ). In addition, we
investigated whether temporal correlations exist between cells in the
superficial and deep collicular layers (in the following, we refer to
all layers below the stratum opticum as "deep collicular layers").
The functional relationship of superficial and deep collicular layers
is one of the major unresolved issues of collicular physiology
(Edwards, 1980 ; Sparks and Hartwich-Young, 1989 ; Moschovakis, 1997 ),
and because correlation analysis had not been applied previously, we
expected further insight from this approach.
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MATERIALS AND METHODS |
Preparation. Data were recorded from 15 adult
anesthetized cats. Anesthesia was induced with ketamine and xylazine
(10 and 2.5 mg/kg, respectively) and was maintained with a mixture of 70% N2O and 30% O2 supplemented by halothane
(0.6-1%). After tracheotomy, the animal was placed in a stereotactic
head holder. A craniotomy was performed, and the skull was cemented to
a metal rod. After completion of all surgical procedures the ear and
eye bars were removed, and the halothane was reduced to a level of
0.4%-0.6%. After we had assured that the level of anesthesia was
stable and sufficiently deep to prevent any vegetative reactions to
somatic stimulation, the animals were paralyzed with pancuronium
bromide (0.2 mg · kg 1 · hr 1).
Glucose and electrolytes were supplemented intravenously. The electrocardiogram and the electroencephalogram were monitored continuously, and end-tidal CO2 and rectal temperature were
kept in the range of 3-4% and 37-38°C, respectively. Corneal
contact lenses with an artificial pupil of 3 mm diameter were fitted to both eyes. The eyes were refracted for a viewing distance of 1.14 m where a tangent screen was positioned. As landmarks of the animal's visual field, the optic disks and the areae centrales were plotted with
a reversible ophthalmoscope.
Recording. Collicular activity was recorded either with a
multielectrode drive, which allowed independent movement of up to six
electrodes or, alternatively, with one or two fixed electrode arrays.
Most of the recordings were performed with the multielectrode drive,
and in these experiments a guide tube was used to target the electrodes
to the SC. In these cases, all electrode tips generally had a small
separation of <1 mm in the horizontal plane. In contrast, the fixed
electrode array used in other measurements consisted of two to five
microelectrodes whose spacing was between 0.2 and 3 mm. The recorded
signals were amplified, bandpass-filtered, and fed through a Schmitt
trigger to obtain transistor transistor logic pulses, which
signaled spike timing.
In most of the experiments, we recorded multiunit activity. In these
measurements, the Schmitt trigger threshold was adjusted to exceed the
noise limit at least twofold. In a number of experiments we
additionally studied single-unit activity. In these cases we separated
the spikes of different cells by a real-time template-matching algorithm (MSD spike sorter, Alpha-Omega). For several reasons, the
analysis of collicular correlation patterns was greatly facilitated by
including multiunit activity (for a detailed discussion of the
advantages and potential pitfalls of multiunit cross-correlation analysis, see Bedenbaugh and Gerstein, 1997 ). First, the
cross-correlation technique requires a sufficient density of events to
yield reliable results. Because the firing rates of collicular neurons
are quite low, it is difficult to detect temporal relationships between the activity of single neurons within short analysis windows. Second,
for the same reasons it is difficult to assess the short-term fluctuations (from trial to trial) of correlation patterns among single
units. Third, because the analysis of multiunit activity permits rapid
sampling, it was particularly useful for analysis of the spatial
distribution of collicular correlation patterns by comparing many
recording sites within the same experiment. These advantages of the
multiunit signal are particularly pronounced if nearby cells are
functionally similar, and this appears to be the case in the SC (Huerta
and Harting, 1984 ).
Receptive fields were mapped onto a tangent screen, and the ocular
dominance, the orientation tuning, and the direction preferences of
each multiunit or single-unit recording were assessed with hand-held
stimuli. For quantitative measurements visual stimuli were projected
onto the tangent screen via a computer-controlled optic bench.
Typically, moving bars served as stimuli. Multiunit clusters or single
units with overlapping or nearby receptive fields were activated with a
single bar, whereas cells with distant receptive fields were activated
with two coherently moving bars. Generally, the bar stimuli were
positioned outside the receptive fields (RFs) close to the RF border
and moved through the RF in a 3 sec period. In a few cases
computer-generated flow fields were presented on a 21 inch monitor.
Responses were recorded for at least 10 stimulus repetitions, and, if
not specified otherwise, the data from such blocks of 10 trials were
combined for analysis.
Data analysis. For all responses, peristimulus time
histograms, auto- and cross-correlation functions, as well as their
first-order shift predictors were computed. Cross-correlograms were
computed with a bin width of 1 msec. The contribution of stimulus
coordination to the observed correlation patterns was assessed by shift
predictor correlograms. To obtain the first-order shift predictor,
cross-correlograms were computed from responses to successive stimuli
rather than from simultaneous responses to the same stimulus, as was
the case for the cross-correlation functions (Perkel et al., 1967 ). On the fast time scale considered here (time shifts of 250 msec), these
correlograms from shifted trials were almost always (>95% of cases)
flat (also see Fig. 1); i.e., the fitting procedure described below did
not discover significant peaks in such correlograms. Usually, the
correlograms were computed over the whole response epoch, which
generally consisted of a 3 sec period during which a bar stimulus moved
across the receptive field.
According to our experience it is useful to restrict the analysis to
correlograms with a sufficient filling. Therefore the following
criteria were applied. Correlograms for multiunit recordings were
included in the analysis only if the firing rates of each cell cluster
exceeded 10 Hz and if the correlogram had an average entry of at least
two coincidences per bin. Because the shift predictors were flat, we
did not have to subtract them to distinguish between stimulus-locked
and internally generated correlations. In this respect our procedure
differs from that of other authors (Ghose and Freeman, 1992 ). Assessing
correlation strength from raw correlograms is legitimate only if shift
predictors are flat (i.e., if there is no stimulus-locked correlation),
but then it is preferable, because the subtraction procedure increases
the noise in the correlograms (for discussion, see Kreiter and Singer, 1996 ).
In addition to computation of averaged correlograms, a sliding window
analysis was applied to a subset of the data to analyze the time course
of collicular correlations during the stimulus presentation. In these
cases, a short analysis window (100 or 400 msec duration) was moved
over the responses in steps of 50 or 100 msec. The correlograms
obtained from each of those overlapping windows were plotted as a
two-dimensional array, where the x-axis denotes the time
course of the responses. The amplitude of the correlograms was
normalized by the geometric mean of firing rates and displayed in a
color-coded manner. Finally, to assess the frequency contents of
neuronal interactions, power spectra were computed. To exclude
contributions to the frequency spectrum by stimulus-locked response
components, the power spectra were computed from averaged
cross-correlograms of which the respective shift predictor had been subtracted.
To quantify the modulation of the correlograms, generalized Gabor
functions (damped cosine functions) were fitted to the correlograms; this method is described in detail by König (1994) . As
illustrated in Figure 1, the strength of
cross-correlation was measured by computing the relative modulation
amplitude (RMA), which we define as the ratio of center peak amplitude
over the offset of the correlogram modulation. A correlation was
considered as significant if the following four criteria were met: (1)
The fitted function had to explain at least 20% of the variance of the
data points ( 2 reduction). This requirement leads to a
rejection of fitting functions, which would be judged to be poor
according to the visual inspection of the fit (also see Young et al.,
1992 ). (2) The Z score for the amplitude of the largest peak
had to exceed a value of 2, implying that this peak was significant at
the 5% level. This significance estimate was based on the results of
the Marquardt-Levenberg algorithm, which supplies error estimates for
parameters of the fitted function and allows calculation of confidence
intervals over all data points (König, 1994 ). (3) The RMA had to
exceed a value of 0.10. (4) The shift predictor had to be flat.
Accordingly, a correlogram was considered to indicate an oscillatory
patterning of activity if the largest satellite peak had a Z
score of >2. This method of quantification has two major virtues.
First, the RMA provides an intuitive measure of correlations caused by
neuronal interactions, because the offset term of the fitted function
represents the amount of spurious coincidences at the respective sites
in the case of independent firing. Thus, the RMA measures coincidences exceeding the predicted chance level. Second, the strength of synchronization (RMA of the central peak) and strength of oscillation (RMA of the satellite peak) can be determined independently. From the
fitted functions we also determined the phase shift of the largest peak
relative to zero time lag, the width of the central peak at half
height, and the oscillation frequency in case of oscillatory
patterning. From these data we calculated the percentage of recording
pairs in which a significant correlation was observed. Moreover, for
any given pair with significant interactions the percentage of
correlograms with an oscillatory modulation was calculated.

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Figure 1.
Analysis and classification of correlation
patterns. A, Example of a successfully fitted
cross-correlation function. The black line represents
the generalized Gabor function that was fitted to the data.
B, Parameters derived from the fitted function for
characterizing the cross-correlation pattern. The amplitudes of the
central peak (A) and the first side peak
(S) are measured from the offset
(O). The strength of the correlation and the
oscillatory patterning can then be quantified by calculating the RMA of
the center peak, i.e., the ratio A/O and the relative
modulation of the side peak S/O, respectively. Error
bars indicate the estimates of the SEs for the central peak and the
first satellite peak. C, First-order shift predictor of
the cross-correlogram shown in A. For computation of the
shift predictor, spike trains are taken from successive stimulus
presentations.
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Histology. At the end of each experiment a lethal dose of
sodium pentothal was given, and the animal was perfused through the
heart with warm saline followed by cold (4-8°C) fixative (4% paraformaldehyde in PBS). The brain was removed, frozen, and cut in the frontal plane into 60 µm sections. These sections were alternately stained for cell bodies (Nissl) and fibers (Gallyas method). Small lesions (electrode tip-negative, 12 sec DC current, 12 µA) made after each recording penetration allowed the reconstruction of the recording track. SC laminae were classified according to the
method of Kanaseki and Sprague (1974) .
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RESULTS |
Recording sites and pairs
The majority of the results reported here are based on multiunit
recordings from 315 collicular sites. Cross-correlation patterns were
computed for 258 recording pairs. The vast majority of the multiunit
recording sites were localized in the superficial collicular layers:
173 were located in the stratum griseum superficiale; 54 were located
in the stratum opticum; and 68 recording sites could not be attributed
unambiguously, but the majority of these were presumably located in the
superficial SC laminae. Eighteen multiunit recording sites were located
in the intermediate collicular layers, in the stratum griseum
intermediale. In addition to these multiunit recordings, we analyzed 45 well isolated single units from which we collected a sufficient number
of spikes to compute meaningful correlograms. In this sample
cross-correlation patterns were studied for 48 pairs.
Collicular correlation patterns
The autocorrelation functions of SC multiunits displayed in Figure
2 give a survey of the temporal structure
of collicular activity. As shown in the averaged autocorrelograms for
multiunits in Figure 2, we often observed cell clusters that discharged
in bursts, which lasted 20-100 msec (Fig. 2A,B). In
Figure 2, C and D, correlograms of single-unit
activity are illustrated. In general, high-frequency oscillations in
the range (as illustrated in Fig. 2D) were
encountered only rarely. When oscillations occurred, their frequencies
often varied from trial to trial and therefore were difficult to assess
in averages. Figure 2E-H illustrates selected
single-sweep autocorrelograms of a multiunit recording (compare the
corresponding averaged correlogram shown in Fig. 2A),
which exhibited a pronounced variability of firing patterns. From
Figure 2E-H it is clear that also the firing rate of
the cell group exhibited substantial variability. In this case as well
as in other examples studied, we did not observe any obvious relationship between firing rates and temporal firing pattern.

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Figure 2.
Autocorrelograms computed for multi- and
single-unit recordings from different sites in superficial SC layers.
A, B, Averaged autocorrelograms of multiunit activity.
The black line indicates the shift predictor. A very
broad peak is seen in A, but in the autocorrelogram
shown in B only a center peak towers above the shift
predictor, which represents the spurious rate-dependent and
stimulus-locked coincidences. C, D, Averaged
autocorrelograms of single-unit activity. The cell shown in
C had a long refractory period and exhibited a tendency
to fire in regular intervals. D, Single-unit
autocorrelogram with a high-frequency oscillatory modulation.
E-H, Autocorrelograms computed from individual
stimulation epochs (3 sec duration) recorded successively from the same
cell cluster as in A. Note the variability of the
temporal structure in successive responses to the same stimulus. In
C-F and H, the black line
represents the generalized Gabor function that was fitted to the
data.
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Significant cross-correlations were observed in approximately half (128 of 258, 49.6%) of the collicular multiunit recording pairs. For those
recording pairs in which at least one significantly modulated
correlogram was detected, correlations occurred in 44% of the
stimulation epochs (each epoch comprising 10 stimulus repetitions, whereby we recorded on average 9 such stimulation epochs per recording pair). Figure 3 illustrates examples of
cross-correlograms obtained in multiunit and single-unit recording
pairs. Figure 3 also shows that subtracting the respective shift
predictors from the correlograms did not affect their modulation
(except for slightly increasing the noise level). This indicates that
the correlations were attributable to intrinsic neuronal interactions
rather than to stimulus locking of the respective responses. Moreover,
the frequency spectra of the cross-correlograms are provided. As far as
can be inferred from the small number of single-unit pairs, the
correlation patterns of single and multiple units appeared to be
similar. In 14 of 48 (29%) single-unit pairs the correlations reached
significance. The only notable difference was that anticorrelated
responses (i.e., those with a central trough in the correlogram) were
seen twice in the single-unit pairs but never in the multiunit
recordings.

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Figure 3.
Cross-correlograms computed for multiunit
(A-H) and single-unit
(I-L) recordings from different sites in
superficial SC layers. A, Top diagram,
The two recorded cell groups were located in the right SC, both in the
lower stratum griseum superficiale. The distance between the two
recording sites was ~1.5 mm. Bottom diagram, Schematic
plot of the receptive fields of the two recording sites and the
stimulus. Note that the receptive field of cell group 1
extended substantially into the ipsilateral visual field (dashed
line, vertical meridian). B, The
cross-correlogram for the two multiunit responses shows a broad peak.
C, This broad peak remains after subtracting the shift
predictor. D, Power spectrum of the cross-correlogram
computed after subtracting the first-order shift predictor as shown in
C. E, Top diagram, The two
recorded cell groups were nearby in the right SC, both in the stratum
griseum superficiale. Bottom diagram, Plot of the
receptive fields of the two recording sites and the stimulus.
F, The cross-correlogram shows an oscillatory modulation
at a frequency of ~13 Hz, which remains after subtracting the shift
predictor (G). H, Power spectrum
of the cross-correlogram calculated after subtraction of the
first-order shift predictor as shown in G.
I, Top diagram, The two recorded single
units were isolated by template matching from an electrode in the lower
stratum opticum. Bottom diagram, Plot of the receptive
fields of the two cells and the stimulus. J, The
cross-correlogram shows an oscillatory modulation at a frequency of 33 Hz, and this modulation remains after subtracting the shift predictor
(K). L, Power spectrum of this
interaction computed after subtracting the first-order shift predictor
as shown in K. Where present, the black
line superimposed to the correlograms represents the
generalized Gabor function that was fitted to the data. , Phase
shift of the Gabor function; f, oscillation
frequency.
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Figure 4 summarizes the statistics of
collicular interactions for multiunit data. As described in Materials
and Methods, the strength of the interactions was quantified by the RMA
(central peak amplitude divided by offset) of the correlograms. The
histogram of RMA values for the data sample is displayed in Figure
4A. The mean RMA of the respective best modulated
correlogram for each recording pair in which correlations occurred was
0.67; the RMA for all correlograms with significant modulation averaged
0.49. As indicated by significant satellite peaks, many of the
cross-correlograms were oscillatory. Of the most strongly modulated
correlograms for a given pair of recording sites, 44% showed an
oscillatory modulation, and for all correlograms this fraction was
23%. The fact that in most cases the number of satellite peaks was
confined to one or two indicates that the oscillatory patterning of the discharges was not strictly periodic. Oscillation frequencies covered a
broad range from 5 to 100 Hz, albeit in most cases being in the range
between 5 and 40 Hz (Fig. 4B). In most of the
correlograms the central peak was located around zero phase lag (Fig.
4C). Of the correlograms exhibiting the strongest modulation
for a given recording pair, 64% had peak shifts of <5 msec. As
summarized in Figure 4D, there was a strong positive
correlation between the degree of receptive field overlap of the
respective units and the incidence of significant correlations: the
more the fields overlapped, the higher the probability of observing a
significant interaction.

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Figure 4.
Statistics of multiunit cross-correlations. The
data in A-C refer to the most strongly modulated
correlogram for each recording pair. A, Distribution of
relative modulation amplitudes (as defined in Fig. 1) for
cross-correlograms with a significant center peak. B,
Distribution of oscillation frequencies. C, Cumulative
distribution of the absolute values of phase shifts
(AbsPhase) for cross-correlograms with significant
center peaks. Note that in 64% of the correlograms the phase shift is
smaller <5 msec. D, Probability of synchronization as a
function of RF overlap. These data were calculated only for a subset of
our data (178 recording pairs). The incidence is higher for cells with
overlapping receptive fields (p < 0.01).
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Dynamic aspects of collicular correlations
To assess the development of collicular correlation patterns over
time, we used a sliding window analysis in which a short (100-400
msec) analysis window was moved in small time steps along the
responses. An example for such a time-resolved analysis of correlated
oscillatory responses is shown in Figure
5. In this case, synchronization started
rapidly and was sustained throughout the response. In many cases
studied in this way, synchronization could be observed within the first
100 msec of the responses. Another characteristic aspect of collicular
cross-correlations was their variability across trials. As exemplified
in Figure 6, both the strength of the
interaction and the dominant oscillation frequency could vary, despite
the fact that stimulus conditions were unchanged. The firing rates of
the cell groups also exhibited a notable variability. Again, as for the
autocorrelations (Fig. 2E-H), we did not
observe any obvious relationship between firing rate and firing
pattern.

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Figure 5.
Sliding window analysis of a collicular
cross-correlation pattern. A, The schematic plot
(top) illustrates the receptive fields of the two
recording sites (A. C., area centralis) and the
stimulus. B, A 400-msec-long cross-correlation window
was moved in steps of 100 msec over the stimulation period. The
x-axis denotes the time course of the responses, whereby
each time displays the results of a 400-msec-long cross-correlation
window centered on the respective time bin. The y-axis
corresponds to the time shift of the stacked correlograms. The
amplitude of the correlograms was normalized by the geometric mean of
firing rates and displayed with a color code. Dashed gray
lines indicate onset and end of the movement of the bar
stimulus. The peristimulus time histograms of the two responses are
shown above and below the sliding window plot. Data were recorded from
two cell clusters in the stratum griseum superficiale. Note the rapid
onset of the synchronous oscillation. C, Power spectrum
of this interaction computed for the cross-correlogram (averaged over
the whole stimulation period) after subtracting the first-order shift
predictor.
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Figure 6.
Intertrial variability of collicular
cross-correlation patterns. The two recorded cell groups were located
in the right SC, both in the stratum griseum superficiale. Ten
successive trials were recorded with the same light bar stimulus.
A, Peristimulus time histograms of the two recorded
responses. Both cell groups responded vigorously to the forward
(Window 1) and backward (Window 2)
stimulus movement. B, C, Averaged cross-correlograms for
the forward and backward responses, respectively. Both correlograms
show a prominent center peak and significant oscillatory components
with a frequency of ~10 Hz. D, E, Variability of the
temporal structure across the individual trials. Because of noise, only
a few responses showed a significant modulation. In these cases, the
continuous lines indicate the generalized Gabor function
fitted to the data. f, Dominant frequency of oscillatory
modulation.
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Spatial organization of collicular synchronization
In all experiments synchronization probability depended critically
on the horizontal separation of the recordings sites. For recording
pairs with horizontal electrode separations of 1 mm, which
constituted the majority of cases, the probability of observing a
significant correlation was in the range of 40-60%, and in this fraction of cells correlations appeared in approximately half of the
stimulation epochs. Although we studied 20 recording pairs with
separations of 3 mm, we never observed correlations in the superficial layers beyond electrode separations of 2.5 mm. In the cat
SC, receptive field size increases massively with depth (Meredith and
Stein, 1990 ), leading to increasing overlap of fields recorded from
sites with similar topographic separation. This permitted us to
dissociate the effects of the variable "receptive field overlap"
and the variable "topographic separation" on synchronization probability. As shown in Figure
7B, for an experiment with
three simultaneously advanced electrodes, the field overlap increases with depth, whereas the horizontal separation of the recording sites
and the retinal position of the receptive field centers remains rather
constant. In parallel with field overlap, the number of correlated cell
pairs as well as the probability of synchronization for a given cell
pair increased considerably with depth (Fig. 7A). In
agreement with the data shown in Figure 4D, these
results identify receptive field overlap as a critical variable in
determining synchronization probability.

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Figure 7.
Incidence of synchronization as a function of
recording depth in the SC. A, Histological
reconstruction (in a parasagittal plane) of the penetrations of three
microelectrodes. The electrodes were advanced simultaneously into the
SC, whereby penetrations A and B reached
the deeper collicular layers. Circles indicate recording
sites, and lines are drawn between recording sites for
which synchronization was observed, whereas cells at points not linked
with lines were not synchronized. The thickness of the
lines indicates the correlation probability, i.e., the
percentage of stimulation epochs in which synchronization occurred. The
incidence of synchronization increased with depth and was higher
between the two less distant electrodes, B and
C, than between electrodes A and
B. No significant synchronization was seen between
electrodes A and C. B,
Receptive fields of selected recording sites. The dashed
receptive field borders indicate cells without clearly demarcated
response zones. Note the increase of receptive field size with depth.
AC, Area centralis.
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To assess the contribution of direct retinal drive on intracollicular
correlation patterns, we compared the distribution of synchronization
patterns in the ipsilateral and the contralateral visual field
representation. In the cat SC there is a substantial representation of
the ipsilateral visual field. In this portion of the SC, visual
responses are mediated mainly by corticotectal projections rather than
by direct retinal input (Antonini et al., 1978 ). Comparing correlation
patterns recorded in the ipsilateral and contralateral visual field
representations should therefore provide indications of the influence
of direct retinal input on collicular synchronization. Although we
analyzed numerous recording pairs in both parts of the collicular
visual map (for examples, see Fig. 3), we did not notice any systematic
difference in the incidence or pattern of collicular correlations.
In addition to investigating tangential interactions, we wondered
whether cells in the superficial and deep collicular layers would
interact and show temporal correlations of their responses. Unfortunately, the visual responses of deep-layer cells were very poor
in three of five experiments. In three experiments receptive fields
could barely be mapped, and responses were sluggish. This made it
difficult to collect a sufficient number of visually driven spikes for
correlation analysis, and in the few instances in which we succeeded
the correlograms were not modulated. However, in two experiments visual
responses in the deep layers were vigorous and synchronized with
responses in superficial layers. As documented in Figure 7, strong
correlations were readily obtained between cells in the stratum griseum
superficiale and stratum opticum on the one hand and stratum griseum
intermediale on the other. The example shown in Figure
8A-C illustrates that
these correlations were robust. A statistical comparison of the 230 multiunit pairs recorded within the superficial layers and the 18 recording pairs recorded between superficial and deep collicular layers
revealed that they occurred with a similar incidence (Fig.
8D). We did not observe any systematic difference
between intrasuperficial and superficial-deep correlation patterns.
Specifically, there was no tendency for a phase lead of one of the
layers. However, it must be emphasized that our data set for these
comparisons is very small because of the technical difficulties
described above.

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Figure 8.
Interlaminar interactions between superficial and
deep SC. A-C, Example of an interlaminar correlation.
A, The two cell groups were recorded in the right SC at
a horizontal separation of ~1 mm and located in the stratum opticum
and stratum griseum intermediale, respectively. B,
Schematic plot of the receptive fields of the two recording sites and
the stimulus. The dashed RF borders of the deep-layer
cell cluster indicate that the borders of the response zone of this
cell group could not be clearly mapped. C, Correlogram
of the interlaminar interaction. The shift of the center peak indicates
that the deep-layer cell cluster fires on average shortly before the
superficial layer cells. The black continuous line
superimposed to the correlograms represents the generalized Gabor
function that was fitted to the data. , Phase shift of the Gabor
function. D, Comparison of the incidence of interlaminar
synchronization (n = 18 pairs; data from two
experiments) with the incidence of synchronization within the
superficial layers (n = 230 pairs).
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|
Stimulus specificity of collicular correlations
A central question of our study was whether collicular
synchronization patterns demarcate assemblies of functionally related cells. To address this issue we activated spatially separate SC cells
with either one coherent stimulus or two independent stimuli. Figures
9 and 10
show examples of such experiments. SC multiunits tended to synchronize
their responses more strongly if activated with a single coherent
stimulus compared with two independent stimuli. These effects occurred
without changes of firing rate (compare Figs. 9D,F,
10D,E). In the example displayed in Figure 10, the
cell groups had completely nonoverlapping receptive fields. This latter
example demonstrates that the synchronization observed in the long-bar
condition cannot be attributed to common input from a visual field
region shared by both cell groups. Such stimulus-specific changes in
synchronization patterns were demonstrable not only in multiunit but
also in single-unit recordings and occurred irrespective of whether the
correlograms had broad or sharp peaks (data not shown). Figure
11 summarizes the results of 16 such
experiments. In 15 of 16 experiments synchronization was stronger in
the long-bar as compared with the dual-bar conditions. Moreover, as
illustrated in Figure 11, the decrease in synchronization strength for
the transition from the long-bar to the two-bar condition was similar irrespective of whether the two bars moved in the same direction or
opposite directions.

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Figure 9.
Stimulus dependence of collicular synchronization
between multiunit clusters with partially overlapping receptive fields.
Data are from the same case as that illustrated in Figure 5.
A-C, Schematic plots of the receptive fields and the
three different stimulation conditions. The cells were activated with a
continuous moving light bar, two separate light bars moving in the same
direction, or two light bars moving in antiphase across the receptive
fields. A, inset, Position of the
recording electrodes in the stratum griseum superficiale.
D-F, Cross-correlograms computed for the responses
obtained with the three stimulus paradigms. The synchronization seen
with a continuous moving light bar (D)
disappeared if the cells at the two recording sites were activated by
two bars moving in the same direction (E) or
opposite directions (F). The black
continuous line superimposed to the correlogram in
D represents the generalized Gabor function that was
fitted to the data. , Phase shift of the Gabor function.
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Figure 10.
Stimulus dependence of synchronization between
collicular cell clusters with nonoverlapping receptive fields.
A-C, Schematic plots of the receptive fields and the
three different stimulation conditions. Activity was recorded from two
multiunit clusters in the stratum griseum superficiale. Conventions are
as in Figure 9. The synchronization seen with a continuous moving
light bar (D) disappears if the cells at the two
recording sites were activated by two bars moving in the same direction
(E) or opposite directions
(F).
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Figure 11.
Statistics of stimulus dependence. The
scatterplot compares the synchronization strength for different
stimulation conditions in our data sample (n = 16).
Note that we did not test all three stimulation conditions in all
measurements. The parameter plotted is the relative modulation
amplitude of the center peak (ratio of center peak amplitude over the
offset of the correlogram modulation) for the long-bar condition
(y-axis) versus the dual-bar conditions
(x-axis). Note that in 15 of 16 cases, the strength of
synchronization is consistently higher for spatially coherent stimulus
configurations.
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DISCUSSION |
Evidence for correlated activity in the SC
The major result of our study is that correlated discharge is a
prominent feature of single-unit and multiunit activity in the SC. Our
sample of single-unit correlation patterns is small but in good
agreement with our multiunit data. The analysis of multiunit activity
enabled us to quantify collicular correlation patterns with high
temporal and spatial resolution. The virtues of quantifying correlation
patterns by fitting of Gabor functions are discussed elsewhere
(König, 1994 ). Because it enables statistical assessment of
confidence limits, it permits a reliable distinction between spurious,
purely rate-dependent coincidences and additional excess correlations.
Our finding that shift predictors were flat demonstrates further that
collicular correlation patterns did not result from stimulus
coordination of the respective responses but resulted from internal
neuronal interactions. Spurious correlation peaks may also result if
independently firing cells engage in oscillatory firing patterns with
similar oscillation frequencies and if the number of stimulus
repetitions is not large enough to provide sufficient averaging.
However, the fact that the shift predictors were flat indicates that
our averaging procedures were sufficient to eliminate this type of
spurious correlation. Moreover, the correlation peaks described here
cluster around zero phase lag, whereas correlation peaks of random
origin would show a random distribution of peak shifts. Taken together,
these observations permit the conclusion that the observed collicular
correlation patterns are genuinely attributable to neuronal interactions.
Comparison with other correlation studies
Numerous electrophysiological studies have described discharge
properties of cells in the vertebrate midbrain (Chalupa, 1984 ; Stein
and Meredith, 1991 ), but only very few of these investigations have
documented the fine temporal structure of collicular activity. Our
results are in good agreement with the few data on temporal aspects of
visual activity in the midbrain. Mandl (1993) has described oscillatory
responses to moving stimuli in collicular neurons of cats. In
anesthetized cats, Chabli et al. (1997) have observed correlation
patterns similar to the ones reported here (also see Brecht et al.,
1996 ), many of which showed an oscillatory modulation in the - and
-frequency range. Neuenschwander et al. (1996) found correlation
patterns in the optic tectum of awake pigeons that also resemble
closely those described here. In this study, correlations were
frequent, often exhibited an oscillatory pattern, were present over
distances of several millimeters, and occurred most often with small
phase lags (<5 msec). Correlated discharges have also been described
in saccade-related activity recorded from the monkey SC (Istvan and
Munoz, 1997 ). Finally, an oscillatory modulation of visual responses
has been observed in the midbrain of several other species, such as
rats (Fortin et al., 1997 ), mice (Masu et al., 1995 ), and toads
(Schwippert et al., 1996 ). Taken together with our present results,
these data provide evidence that oscillatory patterning and response
synchronization are prominent features of visual midbrain activity in
many vertebrate species.
The correlation patterns recorded in the SC of anesthetized cats
compare in many respects with the interaction patterns that have been
observed in visual cortical areas of cats and monkeys. Like the latter
(Eckhorn et al., 1988 ; Gray et al., 1989 ; Engel et al., 1990 ; Kreiter
and Singer, 1996 ; Livingstone, 1996 ), collicular correlations are often
associated with a rhythmic modulation of neuronal firing, whereby
synchronization strength and oscillation frequency can vary
considerably from one stimulus presentation to the next. Moreover,
synchronization probability depends critically on retinotopic proximity
of the receptive fields and on stimulus configuration (see below). The
fact that collicular and cortical synchronization share common
properties agrees with the evidence that cortical and tectal neurons
engage in tightly correlated discharges in response to visual stimuli.
As discussed elsewhere (Brecht et al., 1998 ), it is likely that
synchronized cortical activity contributes to the temporal patterning
of collicular responses via the corticotectal projections. Still, there
are noteworthy differences between cortical and tectal
synchronization patterns, suggesting a certain autonomy of
intracollicular synchronization phenomena. Collicular synchronization
is characterized by broad correlation peaks and low oscillation
frequencies in the and range, whereas cortical correlations
tend to have sharp peaks and an oscillatory modulation in the range. Recent observations indicate, however, that these differences
are less pronounced in the awake brain (M. Brecht, W. Singer, and
A. K. Engel, unpublished observations). In the SC of awake cats
high oscillation frequencies and sharp correlation peaks are common.
The large variability of collicular correlation patterns is in line
with considerable variability of collicular firing rates. Although the
functional significance of correlation pattern variability or firing
rate variability remains to be determined, we speculate that it does not represent noise in the classical sense. Rather, it may result from
interactions of ongoing activity and stimulus-evoked components, as has
been shown to be the case elsewhere (Arieli et al., 1996 ).
Relationship between correlation results and
collicular physiology
Some of the cellular properties of collicular neurons might
predetermine them for engaging in precisely timed and coordinated discharges. Intracellular recordings demonstrate that collicular neurons have brief time constants of 3-6 msec (Grantyn et al., 1983 ;
Lopez-Barneo and Llinas, 1988 ). These time constants are three to five
times shorter than those of hippocampal or cortical neurons (Koch et
al., 1996 ). In addition, SC neurons possess an intrinsic tendency for a
burst-like or rhythmic ("chattering") firing (Grantyn et al., 1983 ;
Lo et al., 1998 ).
As shown here, collicular neurons respond to visual stimuli not with
random firing patterns but with precisely synchronized activity that
sometimes shows an oscillatory temporal structure. These
synchronization patterns are not locked to the stimulus; they appear
very early in the response and are somewhat variable from one stimulus
presentation to the next. Several observations suggest an
intracollicular origin of this temporal patterning. First, it is
unlikely that collicular correlations result from shared retinal input,
because there were no differences between the correlation patterns
recorded in the contralateral and ipsilateral visual field
representation, the latter receiving visual input mainly via the
retino-cortico-tectal loop involving the corpus callosum (Antonini et
al., 1978 ). Synchronization via common retinal input is also unlikely,
because stimulus-induced oscillations of retinal neurons have a much
higher frequency than the oscillatory collicular interactions
(Neuenschwander and Singer, 1996 ). Second, it is also unlikely that
collicular synchronization results exclusively from common cortical
input, because in the anesthetized preparation cortical oscillations
tend to have higher frequencies than the collicular oscillations.
Third, synchronization by a common external source cannot account for
the fact that synchronization occurs between superficial and deep
collicular layers, because superficial and deep SC receive their input
from quite distinct sources (Edwards, 1980 ; Stein and Meredith, 1991 ).
Complementary evidence for intracollicular synchronizing mechanisms has
been provided by Fortin et al. (1997) , who studied oscillatory field
potentials recorded in the SC of rats.
Our observation that the probability of collicular synchronization
decreases with increasing horizontal separation of recording sites goes
well with a host of data indicating that both sensory and motor
representations are mapped in coordinates tangential to the laminae
(Feldon et al., 1970 ; Robinson, 1972 ; Rhoades et al., 1991 ). In
addition, our data suggest a close correlation between synchronization
probability and receptive field overlap. This agrees with the postulate
that synchronization might serve as a signature of the relatedness of
responses. Because receptive field size increases with increasing
depth, correlations are seen over larger distances in the deep than in
the superficial layers.
It is commonly held that the superficial and deep SC layers form two
rather independent structures (Edwards, 1980 ; Stein and Meredith,
1991 ). However, numerous anatomical studies have demonstrated massive
connections between the superficial and deep SC compartments (Moschovakis et al., 1988 ; Behan and Appell, 1992 ; Lee and Hall, 1995 ),
and new concepts about the functional relation between collicular
layers (Moschovakis, 1997 ) suggest cooperativity among different SC
layers. The tight correlations between responses in superficial and
deep layers described here support this notion and add to the still
sparse physiological studies on interlaminar interactions in the SC
(Sparks and Hartwich-Young, 1989 ; Lee et al., 1997 ). However, our data
are somewhat preliminary because of the strong effects of anesthesia on
the deep collicular layers.
Collicular synchronization and assembly coding
If response synchronization serves to disambiguate population
codes, it should have the following properties: (1) correlations of
discharges should occur with a precision in the millisecond range to
define relations with high temporal resolution and a fast time scale;
(2) these correlations should occur over physiologically relevant
distances, i.e., between cells with overlapping or adjacent receptive
fields; and (3) correlations should change dynamically such that only
those subsets of simultaneously activated cells synchronize their
responses, which represent a common object. The correlation patterns
observed here meet these predictions. A large percentage of SC cells
showed temporally precise synchronization. Synchronization occurred
between nearby cells as well as across distances of 2.5 mm, i.e., half
of the diameter of the SC. Collicular synchronization exhibited a
dependence on stimulus coherence similar to that shown previously for
cortical synchronization (Gray et al., 1989 ; Freiwald et al., 1995 ).
Cells synchronize their responses if activated by the same stimulus but
not if responding to different stimuli. In contrast to the results of
the experiments in visual cortex, there was in the two-bar condition
only a little effect of stimulus direction on synchronization strength.
This might be related to the fact that the directional tuning of
collicular cells is generally broader than that of cortical neurons
(Sterling and Wickelgren, 1969 ). Nonetheless, our data show that
synchronization contains information about the relatedness of stimuli
that is not present in discharge rates and could be used to
disambiguate stimulus response relations in the presence of multiple stimuli.
Admittedly, the congruence between the predictions listed above and the
phenomenology of collicular synchronization does not prove that
synchronization serves as a binding code. However, the importance of
spike timing for SC function is suggested by microstimulation
experiments in awake cats in which saccades were elicited by activating
with electrical stimuli two or three sites of the SC simultaneously.
When the trains of stimulation pulses were precisely synchronized (<5
msec phase lag between the pulses), the vectors of the resulting
saccades were close to the average of saccades evoked from each
stimulation site alone. On the other hand, when the simultaneously
applied trains of stimulation pulses had phase lags of >5 msec, the
vectors of the resulting saccades were close to the sum of the
individual saccades, as if the stimulation trains had been applied in
succession (Brecht et al., 1997 ). Thus, these experiments show that
synchronous and asynchronous SC microstimulation lead to different
motor outputs, suggesting that spike timing might be involved in
collicular target selection.
 |
FOOTNOTES |
Received Nov. 9, 1998; revised Feb. 16, 1999; accepted Feb. 18, 1999.
This work was supported by the Max-Planck-Society, the
Minna-James-Heineman Foundation, the Heisenberg Program of the Deutsche Forschungsgemeinschaft and the Institute for Advanced Study (Berlin, Germany), where A.K.E. received a Daimler-Benz fellowship in
1997-1998. We thank S. Neuenschwander for providing the analysis
software package, R. Goebel for providing the visual stimulation
software, C. Selignow, J. Klon-Lipok, U. Hörbelt, and P. Janson
for excellent technical assistance, and R. Ruhl and S. Ruhl for help in
preparing the figures.
Correspondence should be addressed to Michael Brecht,
Max-Planck-Institut für Hirnforschung, Deutschordenstraße 46, 60528 Frankfurt, Germany.
 |
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M. Brecht, W. Singer, and A. K. Engel
Amplitude and Direction of Saccadic Eye Movements Depend on the Synchronicity of Collicular Population Activity
J Neurophysiol,
July 1, 2004;
92(1):
424 - 432.
[Abstract]
[Full Text]
[PDF]
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Q. Pauluis, S. N. Baker, and E. Olivier
Precise Burst Synchrony in the Superior Colliculus of the Awake Cat during Moving Stimulus Presentation
J. Neurosci.,
January 15, 2001;
21(2):
615 - 627.
[Abstract]
[Full Text]
[PDF]
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