The Journal of Neuroscience, July 2, 2003, 23(13):5446-5454
Previous Article | Next Article 
Effects of Gaze Shifts on Maintenance of Spatial Memory in Macaque Frontal Eye Field
Puiu F. Balan and
Vincent P. Ferrera
Department of Psychiatry, Center for Neurobiology and Behavior, and David
Mahoney Center for Brain and Behavior Research, Columbia University, New York,
New York 10032
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Abstract
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The activity of 91 neurons in the frontal eye fields (FEFs) of two macaque
monkeys was recorded while the animals performed a delayed spatial
match-to-sample task. During the delay, the animals were required to shift
their gaze to one of four eccentric locations. Neuronal activity during the
delay was analyzed for sensitivity to cue location and eye position. One-third
of the neurons showed significant delay activity selective for cue location,
whereas slightly more than one-half of the neurons showed significant
modulation of delay activity when the gaze was shifted to an eccentric
location. Despite this modulation, the neurons continued to signal their
preferred cue location during most of the delay. However, after recentering
saccades, the memory signal was temporarily abolished and then reemerged over
a period of few hundred milliseconds. This is consistent with the idea that
spatial working memory is buffered outside of the FEF. For most neurons, delay
activity tended to increase when the gaze was shifted away from the preferred
location and to decrease when the gaze was shifted toward the preferred
location. This pattern of modulation is consistent with a vector subtraction
mechanism that allows for the superposition of multiple saccade plans.
Key words: eye position; gain modulation; spatial memory; saccade planning; sensorimotor transformation; prefrontal cortex
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Introduction
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The frontal eye field (FEF) contains neurons that exhibit spatially
selective sustained activity as well as a variety of signals related to eye
movements. Saccades can be evoked by electrical microstimulation of the FEF at
low current amplitudes (Bruce et al.,
1985
). The FEF is involved in transforming visual signals into
instructions for voluntary eye movements
(Mohler et al., 1973
;
Bruce and Goldberg, 1985
;
Schall et al., 1995b
;
Ferraina et al., 2000
). The
visual activity of neurons in the FEF shows a predictive component during
double-step (Goldberg and Bruce,
1990
; Umeno and Goldberg,
1997
) and triple-step (Tian et
al., 2000
) saccade tasks. FEF neurons are also activated when the
remembered location of a flashed visual stimulus is brought into the receptive
field (RF) by an eye movement (Tian et
al., 2000
; Umeno and Goldberg,
2001
). These observations suggest that FEF receptive fields are
remapped to compensate for the change in eye position caused by a saccade.
This compensation is consistent with the effects of microstimulation in the
FEF when the stimulus is applied at the onset of a voluntary saccade
(Mushiake et al., 1999
) or
when two FEF sites are stimulated asynchronously
(Fujii et al., 1998
). However,
when the gaze is held steady, the direction and magnitude of saccades evoked
by FEF microstimulation show very little dependence on the initial orbital
position of the eye (Russo and Bruce,
1993
; Fujii et al.,
1998
). One might therefore predict that changes in eye position
would have little effect on sustained activity in the FEF.
The FEF receives afferent input from parietal areas involved in spatial
attention and movement planning (Barbas and
Mesulam, 1981
; Schall et al.,
1995a
). Eye position-dependent modulation of visual- and
movement-related neuronal activity has been observed previously in many
parietal areas (Andersen and Mountcastle,
1983
; Andersen et al.,
1985
,
1990
;
Galletti et al., 1995
;
Bremmer et al., 1998
), as well
as the premotor cortex (Graziano et al.,
1997
; Mushiake et al.,
1997
; Graziano and Gross,
1998
), including the supplementary eye field
(Schlag et al., 1992
). Eye
position-dependent gain modulation is thought to be important in transforming
retinotopically coded visual information into head-centered movement commands
(Zipser and Andersen, 1988
;
Siegel, 1998
;
Salinas and Thier, 2000
). The
posterior parietal, premotor, and prefrontal cortex share many anatomical
connections and neuronal response properties. From this stand-point, the
presence of eye position effects in the FEF might not be surprising.
We examined the effects of eye movements on sustained activity by training
monkeys to perform a delayed spatial match-to-sample task with a simple motor
perturbation; during the delay, monkeys were required to shift their gaze to
one of four eccentric locations, hold that position for slightly longer than 1
sec, and then shift their gaze back to center. Approximately one-half of the
FEF neurons we recorded showed activity modulation when the gaze was shifted
during the delay. In spite of this, delay activity tended to signal the
preferred retinal location regardless of eye position. However, after the gaze
was recentered, tuning for cue location disappeared, as if the memory for cue
location were erased. The tuning then reemerged over a period of a few hundred
milliseconds to signal the remembered cue location. These observations suggest
that spatial working memory is buffered outside of the FEF, which then reads
out the contents of the memory buffer during saccade planning. In addition,
delay activity showed a tendency to increase when the gaze was shifted away
from the receptive field and to decrease when the gaze was shifted toward the
receptive field. This is consistent with a vector subtraction mechanism
(Quaia et al., 1998
) that
could serve to remap saccade goals based on the recent history of eye
movements or to represent a superposition of multiple saccade plans.
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Materials and Methods
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Experiments were performed on two juvenile male rhesus monkeys (Macaca
mulatta). All of the methods were approved by the Institutional Animal
Care and Use Committee at Columbia University and the New York State
Psychiatric Institute. Monkeys were prepared for experiments by surgical
implantation of a post used for head restraint and a recording chamber to give
access to the cortex. A monocular scleral search coil was implanted for eye
position recording (Judge et al.,
1980
).
Visual stimulation. Visual targets were generated and controlled
by a Cambridge Research Systems (Cambridge, UK) VSG2/3F video frame buffer
with an on-board microprocessor. The output from the video board was displayed
on a calibrated color monitor (Mitsubishi, Tokyo, Japan) with a 60 Hz
noninterlaced refresh rate. The spatial resolution of the display was 1280
pixels by 1024 lines. The frame buffer was programmed to send out digital
pulses (frame sync) for timing purposes at the beginning of each video frame
in which a target was turned on or off. These pulses were recorded by the
computer using a hardware timer and stored together with the eye movement
data.
Fixation and saccade targets were small (0.5 and 1.0°, respectively)
yellow squares of 15.0 cd/m 2 luminance presented on a uniform dark
background. Except for the targets, the subject was in total darkness during
each trial. Between trials, there was dim background illumination. The
background luminance of the cathode ray tube monitor was below the threshold
of our photometer (0.2 cd/m 2; OptiCal; Cambridge Research Systems)
and below the detection threshold of dark-adapted human observers.
Behavioral task. We trained monkeys to perform a delayed spatial
match-to-sample task (see Fig.
1). At the start of each trial, monkeys fixated a target in the
center of the screen. Then a peripheral cue was flashed for 100 msec at one of
four locations (up, down, right, or left). The cue eccentricity was adjusted
(within screen limits) for each recording site. The mean eccentricity over all
of the sites was 8.8° (range, 814°). The monkey maintained
fixation for an additional 2250 msec memory-delay interval. At the end of the
delay, the fixation target disappeared, and two identical choice targets
appeared simultaneously. One target was at the location of the cue, and the
other was at an equal eccentricity but in the opposite direction relative to
fixation. The monkey was rewarded for making a saccade to the target that
matched the cue location. On one-fifth of the trials, the fixation position
remained at the center of the screen for the entire delay. For the other
trials, the fixation target stepped to one of four locations: up, down, right,
or left of the initial fixation position. The step size was equal to the cue
eccentricity. The step occurred 250 msec after the start of the delay
interval. The fixation target remained at the eccentric location for 1500 msec
and then stepped back to the center of the screen for the last 500 msec of the
delay. Each time the fixation target moved, the monkey was required to shift
his gaze to its location. A complete block of trials comprised four cue
directions and five eye positions, randomly interleaved, for a total of 20
trials.

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Figure 1. Delayed spatial match-to-sample task. a, Timing of trial events:
fixation (FIX) (100 msec), cue presentation (CUE) (100 msec), delay [fixation
(FIX) (250 msec), eccentric/central fixation (ECC FIX) (1500 msec), and
refixation (RE-FIX) (500 msec)], and choice saccade (SACC) (500 msec).
b, Schematic of visual display during task. Black squares indicate
fixation target (thin lines are for illustration only; they were not visible
on display) or choice targets. White square indicates cue. Arrow indicates
choice saccade. Target and Distractor are the two identical choice stimuli
that appeared simultaneously near the end of the trial. On/off indicate the
visibility of the stimulus. EH and EV are horizontal and
vertical eye position, respectively. The horizontal black bar groups the
panels that belong to the delay period.
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Neuronal recording and stimulation. Stainless-steel or plastic
recording chambers were implanted at stereotaxic coordinates of 1518
lateral and 2025 anterior, in accordance with studies of the frontal
eye field described previously (Robinson
and Fuchs, 1969
). Neuronal activity was recorded using
platinumtungsten 8-trode microelectrodes (typical impedance, 0.5
M
). The electrode signal was amplified, filtered, and passed through a
timeamplitude window discriminator to separate action potentials from
background noise. Amplification, filtering, and discrimination were performed
by a digital signal processing-based multichannel slope/height window
discriminator (MCD) designed in our lab. Using the multielectrode and MCD, we
were able to record up to six neurons simultaneously. The time of each action
potential was recorded with a resolution of 0.02 msec.
Electrical microstimulation was used to determine whether recording sites
were located within the functionally defined FEF
(Bruce et al., 1985
).
Sixty-seven millisecond trains of biphasic pulses (0.2 msec/phase; 350 Hz)
were delivered while monkeys fixated a central target, which was turned off
for 200 msec before the electrical stimulus was delivered
(Opris et al., 2001
). Pulse
amplitude was varied between 0 and 100 µAto ascertain the threshold for
electrically evoked saccades. Recording sites were assigned to the FEF if the
stimulation threshold was
50 µA
(Bruce et al., 1985
).
Eye movement recording and analysis. Eye position was monitored
using a scleral search coil system (CNC Engineering, Seattle, WA). Separate
horizontal and vertical eye position signals were fed through an analog
differentiator (low pass; 3 dB at 25 Hz) to yield horizontal and
vertical eye velocity. The eye position and eye velocity signals were then
digitally sampled by computer at 500 Hz per channel and stored on disk for
off-line analysis. Eye position and velocity records were used to estimate
saccade latency and amplitude. Saccade onsets and end points were computed
using an acceleration criterion.
Data analysis. Neural and behavioral data were analyzed in Matlab
(MathWorks, Natick, MA). Firing rates (FRs) were subjected to two-way ANOVA
(cue direction and eye position; p < 0.05). Preferred cue vectors
(PCVs) were constructed by calculating the weighted average (i.e., center of
mass) of the delay activity for different cue directions when the eye position
was in the center of the screen. Preferred eye vectors (PEVs) were constructed
by first averaging delay activity over cue direction for each eccentric eye
position. Then the weighted average of activity for the four eccentric eye
positions was computed. Circular statistics (Rayleigh's uniformity test;
modified Rayleigh or V test; HodgesAjne test) and multivariate
ANOVA (HotellingLawley trace test) were derived from Zar
(1999
). Statistical tests and
other characterizations of the data will be described in more detail as they
are introduced in Results.
 |
Results
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We recorded from 91 neurons in the anterior bank of the arcuate sulcus in
two monkeys. Of these, 70 were located at low-threshold (
50 µA)
stimulation sites, and the remaining 21 were within 1 mm of a low-threshold
site. We analyzed neuronal firing rates during four intervals of the task: (1)
the cue (100 msec while the peripheral cue was illuminated), (2) early delay
after the cue and before the first saccade, (3) the middle part of the delay
(7501750 msec after the start of the delay period), and (4) late delay
after the recentering saccade and before the choice saccade
(Fig. 1). To test the
reliability of cue direction and eye position effects on activity in the
middle delay, we performed a two-way ANOVA on each cell. This analysis
resulted in 30 of 91 (33%) cells with a significant effect (p <
0.05) of cue direction, 47 of 91 (52%) with a significant effect of eye
position, and 16 of 91 (18%) with a significant interaction. The number of
cells that showed a significant effect for both cue direction and eye position
was 25 of 91 (27%), which is somewhat greater than the 18% that would be
expected if these two properties were independently distributed across the
population.
How does activity modulation related to gaze shifts interact with the
memory of cue location? Figure
2 shows the activity of a single neuron for trials in which the
remembered cue was presented inside the RF. Three different gaze positions are
shown in Figure 2: gaze shifted
away from the RF (a), gaze held at center position (b), and
gaze shifted toward the RF (c). Shifting gaze clearly modulated the
delay activity, but how did this affect the tuning of the neuron?
Figure 2, middle row, shows
mean firing rate during the middle delay as a function of cue direction for
each of the three eye positions. For this neuron, it appeared that shifting
gaze away from the RF enhanced the tuning (as indicated by the length of the
weighted vector sum) (Fig.
2d), while shifting toward the RF abolished tuning
(f). Figure 2, bottom
row, shows tuning curves during the late-delay interval. When eye position
returned to center after eccentric gaze shifts
(Fig. 2g,i), tuning
was poor regardless of whether the gaze shift had been toward or away from the
RF.

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Figure 2. Example of middle-delay and late-delay interval activity and tuning
dynamics. ac, Spike rasters and histograms (smoothed with a
Gaussian; width, 12 msec). EH and EV are horizontal and
vertical eye position, respectively, for a single representative trial.
df, Responses as a function of cue direction and tuning
vectors for middle-delay activity. gi, Spatial tuning for
late-delay activity. sp/s, Spikes per second.
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The tuning of each neuron was summarized by calculating the weighted vector
sum for each eye position as follows:
 | (1) |
where V(e) is the tuning vector for each eye position,
FR(e,
) is the firing rate for each eye (e)
and cue (
) direction, and u is a unit vector with
direction
. To examine tuning dynamics at the population level, we
constructed population vectors by summing V(e) over all of
the neurons. Before summing, V(e) for each neuron was
rotated according to the preferred direction of the cell.
The preferred direction was taken to be the V(e)
direction computed from delay activity when the gaze was at the center
position. Population vectors were computed for a succession of overlapping
time intervals (interval width, 200 msec; center-to-center spacing, 100 msec).
For this analysis, we used activity during the early delay (after the end of
the cue presentation and before the first saccade) and middle delay (1000 msec
period starting immediately after the first saccade). For center fixation
trials, the corresponding time intervals were determined on the basis of the
average latency of the first and second saccades. The second time interval was
200250 msec earlier than the 7501750 msec interval used in
the previous analysis to assess tonic delay activity.
Figure 3 shows population
vector dynamics during the two portions of the delay interval. Although there
was considerable variability in the tuning vectors for individual neurons, the
population vectors were within ±45° (often within ±30°)
of the preferred cue direction. For some gaze positions
(Fig. 3e), there
appeared to be a systematic bias, but this bias was also present during the
first part of the delay, when the gaze was at the center position. Hence, the
bias was probably not induced by the gaze shift but was an artifact of limited
sampling (in terms of the number of neurons as well as the number of
directions). The Rayleigh and HotellingLawley tests were used to test
the statistical significance of the direction and amplitude, respectively, of
each population vector (Fig.
3). Overall, a memory of the cue location appears to be preserved
across the initial shift in gaze.

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Figure 3. Population vector dynamics for early-delay and middle-delay activity. Each
row represents a different eye position during the delay. Small arrows are
tuning vectors (magnitude, 20x) for individual neurons. Large arrows are
population vectors. Horizontal dashed lines indicate preferred cue direction
for center eye position during delay. Vertical dashed lines indicate the early
and middle delay. Asterisks indicate significance level of Rayleigh uniformity
test for neuronal tuning vector directions (1) and HotellingLawley test
for population vector amplitude (2). sp/s, Spikes per second; Sacc,
saccade.
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We next looked at what happened when gaze shifted back to center and the
final choice saccade was made. Figure
4 shows the tuning vectors for individual neurons and population
vectors based on activity for the entire delay (leftmost column) and the
period between the recentering and choice saccades (note that the scale is
approximately twice that of Fig.
3). When the eye remained at center fixation
(Fig. 4a), there was
only a slight increase in the population vector magnitude as the time of the
choice saccade approached. However, when there was a shift of gaze from an
eccentric location back to the center, the population vector vanished in all
of the cases (Fig.
4be) for the first 100 msec after the saccade. The
population vector then reemerged and continued to increase in magnitude as
time for the final saccade approached. The disappearance of the population
vector after the recentering saccade was not attributable to
cancellation of the tuning vectors for individual neurons with opposite
direction, but to a general loss of tuning for all of the neurons. The
Rayleigh test was used to establish that the distribution of individual tuning
vector directions was nonuniform, and the HotellingLawley test was used
to establish the significance of the population vector amplitude
(Fig. 4).

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Figure 4. Population vector for middle-delay and late-delay activity. Each row
represents a different eye position during the delay. Small arrows are tuning
vectors (magnitude, 20x) for individual neurons. Large arrows are
population vectors. The leftmost arrow in each row indicates middle-delay
population vectors. Horizontal dashed lines indicate preferred cue direction
for center eye position during delay. Vertical dashed lines indicate the
middle and late delay. Asterisks indicate significance level of Rayleigh test
(1) and HotellingLawley test (2). sp/s, Spikes per second; Sacc,
saccade.
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Changes in tuning over the time course of the entire delay are summarized
plotting the magnitude of the population vectors
(Fig. 5). For eccentric gaze
positions (Fig.
5be), there is some suggestion that just after the
first saccade, the population tuning is somewhat weaker compared with trials
in which no saccade is made during the delay (a), if only because the
latter shows slight enhancement at the beginning of the delay. For the delay
interval as a whole, tuning is slightly weaker for eccentric gaze positions
than for the center gaze. It is after the second, recentering saccade that the
tuning is temporarily lost.

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Figure 5. Population vector amplitude for entire delay. Each row represents a
different eye position during the delay. Horizontal dashed lines indicate
average delay activity for trials in which fixation remained at center.
Vertical dashed lines separate the early, middle, and late delay periods. The
filled circles, triangles, and squares represent the population vector
amplitude at different moments in time during the early, middle, and late
delay, respectively. sp/s, Spikes per second; Sacc, saccade.
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So far, we showed that gaze shifts modulate delay activity in FEF, but we
did not characterize the nature of the modulation. We next address the issue
of how delay activity modulation varies with the direction of the gaze shift
relative to the preferred direction of the neuron. A fundamental limitation of
our experimental design is the following: because gaze shifts to eccentric
locations were always followed by a sequence of two saccades, we cannot
resolve whether the modulation was attributable to an eye position signal or
to the planning of multiple saccades. We will address this ambiguity below.
For now, we will simply refer to the modulation as if it were an eye position
signal.
Figure 6 shows data from two
neurons that were representative of our sample. (Note that, for this and all
of the subsequent analysis, we are dealing with tonic activity in the interval
of 7501750 msec after the start of the delay.) The first neuron
(Fig. 6a) was typical
in that the gaze-dependent modulation was directionally tuned, and the best
eye position was in a direction opposite the best cue direction. A second type
of modulation had the form of a general enhancement
(Fig. 6b) or
suppression of activity for all of the eccentric gaze positions. This pattern
was shown by only a few neurons.

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Figure 6. Two examples of neurons with cue and eye position modulation during the
delay. a, Cell with preferred eye position opposite preferred cue
location. Thick black lines represent delay activity as a function of cue
location (error bars are ±1 SEM). Each tuning curve is offset to
reflect the eye position during the delay. Filled arrows are the
center-of-mass vector for each tuning curve. Open arrows indicate an example
of trials with matching saccade. Dotted lines indicate the tuning curves for
activity during the 100 msec cue interval. b, Cell with enhanced
response for all of the eccentric eye positions. The conventions are the same
as those in a. sp/s, Spikes per second.
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We refer to the tuning vector for center fixation as the PCV, and this is
computed for each neuron. A corresponding PEV was computed by first averaging
activity for all four cue locations at each eccentric eye position. Then the
weighted vector average of the mean delay activity for the four eccentric eye
positions was calculated. We looked for a systematic relationship between
these two vectors by comparing their directions.
Figure 7a shows the
PEVs for each cell. Each PEV was rotated by subtracting the direction of the
PCV for that cell. The directions of the PEVs were significantly nonuniform
(Rayleigh test, p < 0.001), with mean direction significantly
different from 0° (V test; p = 1.0) but not from
180° (V test; p < 0.0001). The direction of the
vector average of the rotated PEVs was 179.25° (in this reference frame,
the PCV directions were all equal to zero), and its amplitude was 2.41
± 0.63 (SEM) spikes/sec, which was significantly different from zero
(HotellingLawley; p < 0.001). The distribution of absolute
differences between the PCV and PEV directions is shown in
Figure 7b. This
distribution is significantly nonuniform (Rayleigh test; p <
0.0001). There was a clear tendency for the preferred eye direction to be
opposite to the preferred cue direction (V test; p <
0.0001).

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Figure 7. Comparison of best cue direction versus best eye direction. a,
Arrows are preferred eye vectors for individual neurons. The PEVs have been
rotated by subtracting the direction of the preferred cue vector of the cell.
The radial axis is in spikes per second, and the angular axis is in degrees.
b, Distribution of direction differences between preferred eye and
preferred cue vectors. The radial axis is number of cells.
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The magnitude of the preferred eye and preferred cue vectors is an index of
neuronal sensitivity to eye and cue position, respectively. Over the entire
population of neurons, the mean PEV magnitude was 4.02 ± 0.52 (SEM)
spikes/sec (median, 2.07). The mean PCV magnitude was 4.17 ± 0.54 (SEM)
(median, 2.29). The PEV and PCV magnitudes were not significantly different
(paired t test; p = 0.673). By adjusting for the cue and eye
eccentricity, the preferred vector magnitude could be converted to a
sensitivity of
0.24 ± 0.03 spikes ·
sec1 · deg1
for cue position and 0.23 ± 0.03 spikes ·
sec1 · deg1
for eye position.
Having shown that the cue and eye vectors are, on average, equal in
magnitude but opposite in direction, we now examine more closely the issue of
eye position versus saccade planning. We first address the potential ambiguity
between eye position during the delay and the first saccade after the delay.
On trials with eccentric eye position during the delay, the monkey always made
a recentering saccade after the end of the delay. The eye position during the
delay was therefore correlated with the direction of this saccade. To resolve
this ambiguity, the task was designed so that there were pairs of trials with
the same saccade, but different eye positions. For example, in
Figure 6a, the data
points indicated by the small open arrows both correspond to conditions in
which the first saccade after the delay was downward. These trials also had
the same cue position. Yet activity during eccentric (upward) fixation was
1.4 times greater than activity during central fixation (48.4 vs. 35.5
spikes/sec).
To quantify this difference, we measured the effect of eye position for
trials with matching saccades by first finding the eccentric eye position that
yielded the strongest delay activity averaged over all of the cue locations.
We then compared activity for the cue direction that was opposite to this
eyeposition in two conditions: first, when the saccade was made from the
eccentric eye position and second, when the saccade was made from the center
eye position. The same analysis was done for the eccentric eye position with
the weakest overall delay activity. Across the population of cells, activity
for the best eccentric fixation position averaged 1.51 spikes/sec (SEM, 0.38)
greater than activity during central fixation. This difference was
statistically significant (paired t test; p < 0.001).
Activity for the worst eccentric eye position averaged 1.02 spikes/sec less
than activity during central fixation (SEM, 0.20; paired t test,
p < 0.0001). The average difference in activity between best and
worst eye position was therefore 2.53 spikes/sec. This difference should be
comparable with the mean PEV magnitude of 4.02 spikes/sec, assuming that the
PEV reflects eye position and not saccade plan. We conclude that eye position
accounts, on average, for 63% (2.53/4.02) of the PEV.
An eye position index was computed by calculating the firing rate ratio for
eccentric and central fixation for trials with matching saccades and cue
directions. The distributions of this index for best and worst eye positions
are shown in Figure 8. For the
best eye position, the mean ratio (eccentric/central) was 1.38 (SEM, 0.09;
median, 1.14). For the worst eye position, the mean ratio was 0.82 (SEM, 0.05;
median, 0.77). Hence, there was a 2040% modulation of firing rate by
eye position that was independent of the upcoming saccade.

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Figure 8. Delay activity for central versus eccentric fixation using saccade-matched
trials. Downward arrows indicate the means of the respective distributions.
The open bars represent the worst eye position cases, and the filled bars
represent the best eye position cases.
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Next we consider the possibility that delay activity might be modulated not
only by the upcoming saccade but also by a superposition of the plans for the
next two saccades (i.e., the recentering and choice saccades). In general, it
can be shown that a superposition of saccade plans predicts very much the same
pattern of activity as an eye position gain field. In
Figure 9, we show a
hypothetical example based on a simple model in which the activity for
eccentric eye positions is a weighted sum of two saccade plans. The plan for
the recentering saccade yields the gain-field (i.e., eye position-related)
component (Fig. 9, solid
symbols), whereas the plan for the choice saccade yields the tuned (i.e., cue
position-related) component. This can be expressed mathematically as follows:
 | (2) |
In other words, the firing rate during eccentric gaze
(FRe) as a function of eye position (i) and cue
position (j) is a linear combination of an appropriate pair of firing
rates during central fixation (FRc). The important
observation is that the activity for any gaze position can be accounted for
given the tuning of the neuron during central fixation. How well does such a
model fit the data? We conducted least-squares fits of the model for each
cell, allowing w1 and w2 to vary. We
found that the predicted activity accounted for 77% of the variance of the
normalized neuronal activity across the entire population of neurons
(Fig. 10). A regression line
was fit to the population data in Figure
10, using an algorithm that minimized the least-squared error in
both x and y. The slope and intercept were 1.1 and
0.03, respectively.

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Figure 9. Superposition of saccade plans model. Filled symbols and solid lines in the
middle plot represent the spatially tuned response for central fixation. Gray
lines in the outer ring of plots represent the gainfield-like component. Open
squares with thin lines represent the average of the tuned and gainfield
response components.
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Figure 10. Normalized delay activity and model predictions. Open circles represent the
average delay activity sorted by cue direction and eye position compared with
the acitvity predicted by the weighted saccade plan model. The set of
activities for each cell was normalized to the maximum for that cell. Solid
line is the least-mean squares regression (slope = 1.1; intercept =
0.03). r is the sample correlation coefficient.
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The model reveals the weight with which each cell represents each saccade
plan. These weights can be represented by a scatter plot of
w1 versus w2
(Fig. 11). One might expect
both plans to be equally represented such that the weights would be clustered
along a line of slope 1.0. Another possibility is that individual cells would
favor one plan or the other, resulting in two clusters of positive weights
along either axis. In fact, the results show that both weights are generally
positive, but are negatively correlated (r = 0.92). The more a
cell represents one plan, the less it represents the other. Cells with extreme
weights for one plan tend to have negative weights for the other, which might
indicate some mutual inhibition between the neural representations of the two
plans.

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|
Figure 11. Plot of the weights (W) given to each saccade plan by each neuron. Weights
were found by fitting the responses of each neuron with the superposition
model. Solid line is least-mean squares regression. Numbers in parentheses are
the slope and intercept, respectively. Each open triangle represents the pair
of weights for a single neuron. r is the correlation coefficient of
the sample.
|
|
 |
Discussion
|
|---|
Sustained activity consistent with various forms of spatial memory has been
observed previously in several regions of the posterior parietal cortex
(Snyder, 2000
) and prefrontal
cortex (Levy and Goldman-Rakic,
2000
). Many of these regions also carry eye movement-related
activity that could potentially interfere with memory signals. It is therefore
important to understand the interaction between memory-related and
movement-related activity. In this study, we sought to answer two questions.
First, how resistant is memory-related activity to distractions? In this case,
we used a motor distractor in the form of a gaze shift that intervenes between
the cue and response. A gaze shift would be expected to be accompanied by a
host of movement-related signals in the FEF, any of which could be deleterious
to the memory signal. The second question concerns how the contents of memory
are altered by the gaze shift. In particular, is there a memory of cue
location encoded in the delay activity when the gaze is shifted?
We trained monkeys to perform a delayed spatial matching task. During the
memory interval of the task, gaze was either fixed in the center of the
display or shifted to one of four eccentric locations. We found that the
sustained activity during the delay was modulated by gaze shifts in slightly
more than one-half the FEF neurons in our sample. In comparison, one-third of
the neurons had delay activity that was significantly tuned for the cue
location. On average, the magnitudes of the eye and cue position signals were
comparable (
0.25 spikes · sec1
· deg1). For this task, the ideal storage
mechanism would have been completely insensitive to the change in eye
position, because this information was irrelevant for correct performance.
However, we found only five neurons (<5%) that were significantly tuned for
retinal stimulus location and not significantly modulated by gaze shifts.
Using the direction of the population vector as a proxy for the contents of
working memory, it was clear that a memory of cue location relative to the
center of the screen was maintained throughout the delay regardless of gaze
position. However, the amplitude of the population vector was slightly reduced
for eccentric gaze positions. In contrast, at the end of the delay, when the
recentering saccade was made, hardly any neurons showed tuned responses,
suggesting that the memory trace was temporarily abolished. The tuning
reappeared before the final choice saccade. This pattern of results suggests
that spatial working memory is buffered outside of the FEF, and that the FEF
is involved in the readout rather than storage of spatial working memory.
There are two general theories regarding gaze-dependent modulation of
neuronal activity. The first is the gain field model, which posits that visual
responses are modulated by an eye position signal. Eye position gain fields
were described in the parietal cortex more than a decade ago
(Andersen et al., 1990
).
Computational theory suggests that the modulation of retinotopic receptive
fields by eye position may represent a partial spatial transformation from
retinocentric to head-centered coordinates
(Zipser and Andersen, 1988
).
Other work has suggested that the transformation may be completed in premotor
cortex (Graziano and Gross,
1998
). The second model proposes that visual responses are
remapped around the time of saccades via a vector subtraction mechanism
(Goldberg and Bruce, 1990
;
Umeno and Goldberg, 1997
,
2001
;
Quaia et al., 1998
). Goldberg
and colleagues proposed vector subtraction as a mechanism for updating saccade
plans based on the recent history of eye movements and rejected the idea that
it might contribute to an explicit representation of target location in
head-centered coordinates.
The gain field model is the more general of the two, in that it allows the
eye position signal to be separable from the visual response. This model can
accommodate gaze-dependent modulation in the form of a planar gain field
(Andersen et al., 1990
)
(Fig. 6a), as well as
cases in which eccentric eye position uniformly enhances or diminishes delay
activity, consistent with U-shaped or inverted-U-shaped gain fields
(b). We should emphasize that examples of the latter were quite rare.
The gain field model also allows for the possibility that a neuron could be
modulated by eye position even when its visual response is weak or untuned.
This could account for our observation that 22 of 91 (24%) neurons showed
significant tuning for eye position but not for cue location.
Remapping via vector subtraction makes the more specific prediction that
activity should increase when gaze is shifted away from the RF and decrease
when gaze is shifted toward the RF. In this regard, our data clearly support
the remapping hypothesis. Furthermore, we found that a simple model of a
superposition of saccade plans accounted for
80% of the variance in
firing rate across the population of FEF neurons. This model showed a clear
trade-off between the plans for the recentering and choice saccades. The
superposition model accounts for gain field-like responses without any need
for an explicit eye position signal. Rather, the model entails a queuing of
saccade plans in a manner that is consistent with the remapping
hypothesis.
The superposition model may also account for a curious feature of our data.
We observed that the memory trace was preserved after gaze shifted to an
eccentric position but was abolished after the recentering saccade. In both
cases, the monkey was simply following the movement of the fixation target,
and thus it is not clear why the two saccades should affect the memory signal
differently. One possibility is that the memory trace simply becomes more
fragile with the passage of time and therefore more susceptible to
perturbations. A more interesting possibility is that, when the monkey makes
an eccentric gaze shift, it is adding a saccade plan (for the recentering
saccade) to the already existing plan for the choice saccade. The addition of
the second plan does not disrupt the storage of the first. However, when the
monkey executes the recentering saccade, rather than simply subtracting that
plan from the memory trace, there is a general reset signal that temporarily
purges both plans from the FEF. The plan for the choice saccade is then
restored from a memory buffer outside of the FEF.
To summarize, the results of this study support a view of the FEF as an
area that reads out information from memory buffers for planning saccades. The
FEF may be involved in executive processes that operate on the contents of
working memory and thereby complement areas involved in working memory storage
(Smith and Jonides, 1999
).
These results lay the groundwork for additional studies using multisite
recordings to elucidate the interactions between regions that perform memory
storage and retrieval, respectively. FEF activity may represent multiple
saccade plans by a superposition mechanism. Adding a second plan does not seem
to interfere substantially with a previously existing plan. However, executing
the second plan results in the dumping of both plans and the subsequent
reloading of the original plan. Additional work will be needed to determine
how many saccade plans can coexist in the FEF and if the resetting mechanism
depends on the order in which the plans are loaded and executed. The current
observations neither require nor rule out the possibility of a patent eye
position signal, but the demonstration of such a signal in FEF will require
additional work.
 |
Footnotes
|
|---|
Received Mar. 14, 2003;
revised Apr. 16, 2003;
accepted Apr. 17, 2003.
This work was supported by the EJLB Foundation and MH59244. We thank G.
Case for designing and fabricating the multielectrodes used in this study and
A. Barborica for designing the multichannel discriminator. Helpful discussion
was provided by J. Bisley, S. Krishna, M. Goldberg, J. Gottlieb, J. Grinband,
and D. Salzman. J. Willi and A. Banta provided excellent technical
assistance.
Correspondence should be addressed to Dr. Vincent P. Ferrera, Center for
Neurobiology and Behavior, Columbia University, 1051 Riverside Drive, Kolb
Annex 504, New York, NY 10032. E-mail:
vpf3{at}columbia.edu.
Copyright © 2003 Society for Neuroscience
0270-6474/03/235446-09$15.00/0
 |
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