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| Volume 4, Number 6, Article 7, Pages 476-487 |
doi:10.1167/4.6.7 |
http://journalofvision.org/4/6/7/ |
ISSN 1534-7362 |
Characterizing the mechanisms of improvement for position discrimination in adult amblyopia
Roger W. Li |
School of Optometry and Helen Wills Neuroscience Institute,
University of California, Berkeley, CA, USA |
|
Dennis M. Levi |
School of Optometry and Helen Wills Neuroscience Institute,
University of California, Berkeley, CA, USA |
|
Abstract
Adult amblyopes can improve positional acuity through practice; however, the neural mechanisms underlying this improvement are still not clear. In this study, seven adult amblyopes repeatedly practiced a position discrimination task in the presence of positional noise. We found that six of the seven showed systematic and significant improvements in position acuity that were both eye and orientation specific. Using a position-averaging model, we were able to parse the improvement in performance with practice into two factors: improvement in sampling efficiency and reduction of equivalent input noise. Three of the seven showed improved efficiency with no change in equivalent noise, two showed a significant reduction in equivalent noise with no change in efficiency, and one showed both improved efficiency and reduced equivalent noise. Interestingly, all observers showed substantial improvement in visual acuity, and one observer showed substantial improvement in stereoacuity. Three observers were also tested on a counting task, and all three improved after practicing positional discrimination. Our results reveal the mechanisms underlying perceptual learning in amblyopic vision, and may provide a basis for developing more effective and efficient strategies for the treatment of amblyopia.
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History
Received January 26, 2004; published June 1, 2004
Citation
Li, R. W. & Levi, D. M. (2004). Characterizing the mechanisms of improvement for position discrimination in adult amblyopia.
Journal of Vision, 4(6):7, 476-487,
http://journalofvision.org/4/6/7/,
doi:10.1167/4.6.7.
Keywords
perceptual learning, amblyopia, occlusion therapy, visual acuity, stereoacuity, counting
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Extensive studies have shown that adults can improve
performance in a wide range of visual tasks through practice (for a review, see
Fine & Jacobs, 2002). We are particularly interested in
positional acuity, for several reasons: (1) under ideal conditions, it
represents the finest spatial grain of the visual system (Westheimer, 1967); (2) more importantly for our
purposes, position acuity may be markedly degraded in amblyopia (Levi &
Klein, 1983; Levi & Klein, 1985; Levi, Klein, & Yap, 1987); and (3) there is a close connection
between position acuity and Snellen acuity (Enoch, Essock, & Williams, 1984; Levi & Klein, 1982; Levi & Klein, 1985; McKee, Levi, & Movshon, 2003).
There is a good deal of evidence that repetitious
practice can significantly improve positional acuity (Fahle & Edelman, 1993; Fahle, Edelman, & Poggio, 1995; Li, Levi, & Klein, 2004; Poggio, Fahle, & Edelman, 1992), even in adults with amblyopia (Levi
& Polat, 1996; Levi, Polat, & Hu, 1997). Our recent results suggest that in
normal observers practice enhances the observer’s use of stimulus samples
by retuning the observer’s decision template (Li et al., 2004) (i.e., by changing the weightings of inputs
from basic visual mechanisms).
Perceptual learning could be a useful approach to
improving visual performance in amblyopes. Amblyopia is a developmental disorder
that occurs during a period of neural plasticity in childhood and leads to poor
acuity in the amblyopic eye (Levi & Carkeet, 1993). Amblyopes have reduced performance in a
wide range of visual tasks, from low-level tasks such as contrast sensitivity to
high-level tasks such as counting (Asper, Crewther, & Crewther, 2000; Ciuffreda, Levi, & Selenow, 1991; Sharma, Levi, & Klein, 2000). Two major hypotheses suggested to
explain this visual loss are spatial undersampling (decrease in neural sampling
density or efficiency) and spatial uncertainty (spatial scrambling and/or an
upward shift in the size of spatial filters) (Hess & Field, 1994; Levi & Klein, 1990; Wang, Levi, & Klein, 1998; Watt & Hess, 1987). The standard treatment for amblyopia
since Buffon (1743), cited in (Ciuffreda et al., 1991), has consisted of penalizing the
dominant eye through patching. The functional visual loss in amblyopia is often
described as irreversible after a critical period; thus, occlusion therapy is
not always undertaken to treat amblyopia after the age of 12. On the other hand,
a number of clinical studies suggest that older children and adults can improve
following treatment (Levi et al., 1997;
Simmers & Gray, 1999). Moreover,
Levi and his coworkers reported that adults with amblyopia show marked
improvement in a Vernier task following intensive practice (Levi & Polat, 1996; Levi et al., 1997).
There remain important questions about how the
amblyopic brain learns to improve visual performance. In this study, we used
noise to address some of these questions. Specifically, we measured positional
acuity in noise to parse any changes during learning into two important factors:
a change in equivalent input noise and/or an increase in the efficiency with
which the stimulus information is used. Equivalent input noise is the noise that
must be added to the stimulus to act like the limiting noise in the visual
system, and it largely reflects the amount of noise the observer’s visual
system adds to the stimulus. Efficiency reflects the computation underlying the
use of the information (samples) in the stimulus (Pelli, 1990). Because position discrimination relies
on spatial relations, we use positional noise (i.e., perturbation of the
positions of parts of the stimulus) to explore the underlying neural mechanisms.
Figure 1 illustrates three of the possible post-training outcomes (threshold vs. noise, TvN curves) based on an early noise model (Pelli, 1990; Zeevi & Mangoubi, 1984): (1) A pure improvement in efficiency
would shift the curve downward. This type of improvement has been reported for
learning faces and complex patterns (Gold, Bennett, & Sekuler, 1999), and we found that an efficiency shift
completely accounts for the improvement in position discrimination in normally
sighted adults (Li et al., 2004). A mostly
downward shift also occurs for learning orientation discrimination in peripheral
vision (Dosher & Lu, 1998; Dosher
& Lu, 1999). (2) A pure decrease in
equivalent input noise would shift the “knee” point of the curve
down and to the left. (3) Another pattern of learning that has been found
(Dosher & Lu, 1998; Dosher & Lu,
1999) for learning simple foveal
discrimination tasks is a rightward shift of the curve, produced by a
combination of improved efficiency and increased equivalent input noise. Dosher
and Lu model this type of learning in terms of improved exclusion of external
noise.
Figure 1. Schematic diagram showing three
possible mechanisms for visual learning. The post-training curve shows the
effects of (1) improvement in efficiency, (2) lowered equivalent input noise
levels with fixed efficiency, and (3) external noise exclusion through
learning.
A better understanding of the limits, time course, and
mechanisms of plasticity is essential to develop more effective and efficient
strategies for the treatment of amblyopia, which is currently based almost
entirely on occlusion of the fellow
eye.
In this study, observers practiced a position
discrimination acuity task in which they had to judge which of three pairs of
line segments was misaligned (i.e., top, middle, or bottom in Figure 2). Trial-by-trial feedback was provided.
Figure 2. Stimuli in positional noise. The
observer’s task was to indicate the position of the “test”
stimulus (top, middle, or bottom). The top stimulus is misaligned: The right
segment is higher than the left segment.
We introduced positional noise by perturbing the
positions of the individual patches of each segment according to a Gaussian
probability function. We used positional noise to mimic the putative limiting
noise for our positional discrimination task. Equivalent input noise and
sampling efficiency were estimated by systematically manipulating the stimulus
positional noise in each session. We also examined the specificity of learning
to the trained orientation and eye. Because visual acuity of the amblyopic
observers is highly correlated with Vernier acuity (Levi & Polat, 1996), we tested their visual acuities with a
Bailey Lovie LogMAR chart, from session to session, while practicing position
discrimination
tasks.
The stimulus was comprised of thee pairs of horizontal
line segments, with a 34-min horizontal gap between the two segments in each
pair ( Figure 2). Each segment consisted of
eight Gabor patches (carrier SF, 5 cpd), and the patch separation was 21.3
arcmin. The patches were constructed to have 1/3 aspect ratio: the Gaussian
envelope standard deviation was 2.5 and 7.5 arcmin for the horizontal and
vertical orientations, respectively. Positional noise was produced by
distributing the vertical position of each Gabor patch according to a Gaussian
probability function. The average offset of the jittered segment was set to zero
by uniformly shifting the eight patches. One of the advantages of using zero
mean is that no “wrong” feedback would be provided to observers.
Observers were tested and trained at five noise levels (including zero). The
three pairs of line segments were separated by 160 arcmin vertically. One of the
three pairs, chosen at random, had a vertical misalignment between the left and
right segments (i.e., the mean position of the left and right segments were
misaligned). The stimuli were presented on a flat 21-inch Sony F520 monitor at
90-Hz refresh rate. The mean center luminance of the stimuli was 54.5
cd/m 2, and the contrast of each Gabor patch was 99%. When testing the
preferred eye, the viewing distance was increased to 4 m (carrier SF, 10 cpd;
Gaussian SD 3.75 arcmin; gap 17 arcmin). For testing and training the amblyopic
eye, the stimulus size and spatial frequency were scaled in rough proportion to
their visual acuity, so six of the amblyopic observers viewed the monitor at a
distance of 2 m, and the angular dimensions of the stimuli were proportionally
larger (carrier SF 5 cpd; Gaussian SD 7.5 arcmin, gap 34 arcmin). The amblyopic
eye of observer AR was tested at 1 m, so that the angular dimensions of the
stimuli were proportionally larger (carrier SF, 2.5 cpd; Gaussian SD 15 arcmin;
gap 68 arcmin).
A three-alternative forced-choice (3AFC) paradigm was
used to measure position discrimination acuity. On each trial, the position of
the misaligned stimulus was randomly chosen (top, middle, or bottom). The
observer’s task was to indicate the position of the test stimulus. Stimuli
remained on the monitor screen until the observer had given the response.
Trial-by-trial feedback was provided. Observers had their heads steadied by a
chinrest and forehead bar. A modified interleaved staircase method was used to
track the individual thresholds (Carkeet, Levi, & Manny, 1997; Li et al., 2004). The experimental trials were divided into triplets: three correct responses decreased the offset magnitude by a unit step, two correct responses made the offset unchanged, and only one or zero correct response increased the offset by two unit steps. The staircases started with an offset of about double the predicted threshold and converged to 72%. To construct the whole psychometric function from the staircase data, the correct percentage for each offset bin was calculated. A Weibull analysis (with a free-floating exponent) was performed to fit the psychometric curve to the response data. Position discrimination threshold was defined as the offset at which 66% correct responses were obtained. A session consisted of 750 responses (150 responses for each noise setting) in 2.5 hr.
A positional averaging model (Zeevi & Mangoubi, 1984) was used to quantify the effects of
external positional noise ( σe)
on the threshold ( σth): , | (1) |
where
k
denotes the number of samples extracted,
n
is the total number of samples, and
σi
is the equivalent input noise. The term
1/ n
is present in Equation 1 because of the zero mean
adjustment of each line. In this study, each segment consisted of 8 Gabor light
patches, and hence
n
was equal to 8. For 66% correct-response probability, the detectability
( d’)
was 1.1 (Wickens, 2002). By measuring the
thresholds in different external noise settings, both
σi
and
k
can be estimated by fitting a TvN curve on the basis of least-square
computation. Equivalent input noise is the noise
that must be added to the stimulus to act like the limiting noise in the visual
system, and it largely reflects the amount of noise the observer’s visual
system adds to the stimulus. When external stimulus noise is small compared to
equivalent input noise, threshold is determined mainly by equivalent input
noise. As the stimulus noise increases and equals the equivalent input noise in
magnitude, the threshold begins to rise in proportion to stimulus noise level.
Sampling efficiency
( E)
reflects the computation underlying the use of the information (samples) of the
stimulus (Pelli, 1990), and was defined
as, . | (2) |
Our training protocol was divided into three phases:
(1) For the pretraining baseline measurements, position discrimination
thresholds were measured in the amblyopic eye for both vertical and horizontal
line orientations. Thresholds for the horizontal orientation were also measured
in the fellow eye. (2) In the training phase, each observer’s amblyopic
eye was trained with horizontal stimuli for another eight sessions while the
fellow eye was occluded. (3) In the post-training phase, thresholds were
measured in the trained eye again for both vertical and horizontal orientations,
and for the horizontal orientation in the untrained fellow eye. The data
collection was completed in about 6 weeks (two or three sessions in a week).
Each observer had given more than 10,500 responses (learning plus transfer
testing) at the end of the experiment.
Seven adult observers with naturally occurring amblyopia were tested with full optical correction. The eye not being tested was occluded with a standard black eye patch. The clinical data are shown in Table 1. All observers were naive to the purpose
of experiment and had no prior experience in psychophysical experiments. The
experiments were undertaken with the understanding and written consent of each
observer and all procedures were approved via institutional review.
|
|
Age
(yrs)
|
Gender
|
Type
|
Strabismus
|
Eye
|
Refractive error
|
Letter acuity
(Snellen)
|
|
PD
|
48
|
M
|
Strabismic
|
L ExoT 30Δ
|
R L
|
Plano +1.00/0.50x95
|
20/20+2 20/32+1
|
|
SL
|
20
|
M
|
Strabismic & meridional
|
Alt. ExoT 7Δ L HyperT 4Δ
|
R L
|
+5.50/-5.00x178 +5.50/-5.00x2
|
20/32
20/32+1
|
|
AR
|
42
|
M
|
Anisometropic
|
None
|
R L
|
+0.50 +4.50
|
20/16-2
20/100+2
|
|
MS
|
55
|
F
|
Strabismic & anisometropic
|
Alt. ExoT 18Δ
|
R L
|
+2.75/-1.28x135 -2.00
|
20/16-2
20/32-2
|
|
DH
|
22
|
F
|
Strabismic
|
R ExoT 40Δ
|
R L
|
-4.75/-0.25x120 -4.75
|
20/32+1
20/20+2
|
|
JT
|
52
|
F
|
Strabismic
|
L EsoT 5Δ
|
R L
|
-1.25/-1.00x14 -1.25/-1.00x7
|
20/16+2
20/32
|
|
KT
|
21
|
M
|
Anisometropic
|
None
|
R L
|
Plano +1.50/0.25x105
|
20/10-2
20/32+1
|
Table 1. Clinical data. Note that the Bailey Lovie
LogMAR chart was used for the visual acuity measurement.
Position discrimination learning
Generally, position discrimination performance
gradually improved across sessions for all positional noise settings. But for
observers JT and DH, little or no learning was observed for high noise settings,
and for KT, no learning was observed for all noise settings. Figure 3 illustrates the thresholds specified as a
Weber fraction (i.e., threshold/gap size) for the five noise settings across
sessions. It should be noted that observer AR was tested at higher noise levels
than the others because of his much reduced visual acuity. The function
 was used to fit the data where
Th is
discrimination threshold,
Th0
is the initial threshold, and x is the
training session; Table 2 shows the slope
( a) of the learning
curve for each noise level. On average, threshold improvement of about 30% was
observed for zero noise and 20% for the highest noise level. Asymptotic
performance was obtained in about six to seven sessions.
Figure 3. Position discrimination
thresholds for different positional noise settings across sessions for seven
observers. Note that observer AR and the others were tested with 2.5 and 5 cpd
stimuli, respectively. The mean data of normal observers were plotted in bottom
right panel from our recent studies (Li et al., 2004).
|
|
Noise (gap)
|
Slope
x10-3
|
sex10-3
|
t
|
p
|
Sig
|
|
PD
|
0
|
-5.2
|
1.7
|
-3.03
|
0.016
|
s
|
|
0.01
|
-4.3
|
1.2
|
-3.48
|
0.008
|
s
|
|
0.02
|
-10.4
|
2.9
|
-3.63
|
0.007
|
s
|
|
0.03
|
-16.6
|
5.3
|
-3.15
|
0.014
|
s
|
|
0.04
|
-17.7
|
4.9
|
-3.60
|
0.007
|
s
|
|
SL
|
0
|
-1.7
|
1
|
-1.71
|
0.125
|
ns
|
|
0.01
|
-3.2
|
1
|
-3.05
|
0.016
|
s
|
|
0.02
|
-4.3
|
1.4
|
-3.11
|
0.014
|
s
|
|
0.03
|
-1.8
|
2.2
|
-0.85
|
0.419
|
ns
|
|
0.04
|
-5.3
|
5
|
-1.06
|
0.32
|
ns
|
|
AR
|
0
|
-6.8
|
2
|
-3.40
|
0.009
|
s
|
|
0.02
|
-8.8
|
3
|
-2.98
|
0.018
|
s
|
|
0.04
|
-12.5
|
3.5
|
-3.63
|
0.007
|
s
|
|
0.06
|
-13.3
|
5.5
|
-2.40
|
0.043
|
s
|
|
0.08
|
-13.9
|
4.2
|
-3.32
|
0.011
|
s
|
|
MS
|
0
|
-13.2
|
3.6
|
-3.64
|
0.007
|
s
|
|
0.01
|
-10.4
|
3.2
|
-3.21
|
0.012
|
s
|
|
0.02
|
-7.9
|
3.4
|
-2.34
|
0.048
|
s
|
|
0.03
|
-9.2
|
2.9
|
-3.24
|
0.012
|
s
|
|
0.04
|
-11.7
|
5.7
|
-2.04
|
0.076
|
ns
|
|
DH
|
0
|
-4.8
|
1.2
|
-3.89
|
0.005
|
s
|
|
0.01
|
-8.7
|
1.7
|
-5.07
|
0.001
|
s
|
|
0.02
|
-5.5
|
2.5
|
-2.22
|
0.057
|
ns
|
|
0.03
|
-1.5
|
3
|
-0.52
|
0.615
|
ns
|
|
0.04
|
-4.7
|
2.6
|
-1.78
|
0.113
|
ns
|
|
JT
|
0
|
-10.1
|
1.8
|
-5.45
|
0.001
|
s
|
|
0.01
|
-8.1
|
2.4
|
-3.39
|
0.01
|
s
|
|
0.02
|
-3.7
|
3.1
|
-1.18
|
0.273
|
ns
|
|
0.03
|
-6.6
|
2.8
|
-2.38
|
0.045
|
s
|
|
0.04
|
-0.8
|
2.9
|
-0.28
|
0.79
|
ns
|
Table 2. Slope
( a) of learning curve
(  ).
To compare position discrimination learning in
amblyopic to normal observers, we replotted the mean data of 10 normal observers
from our recent study (Li et al., 2004) in the
bottom right panel ( Figure 3). Initially, most
of the amblyopic observers (PD, AR, MS, and JT) showed degraded performance for
all noise settings when compared with mean normal performance. With practice,
performance was generally improved to near the pretraining levels of normal
observers. Observers DH and KT showed about the same performance, in terms of
“gap” units, when compared with mean normal performance.
Surprisingly, observer SL showed substantially better performance than even the
post-training thresholds of normal observer. SL has high astigmatism and hence
meridianal amblyopia, which reduces his acuity and contrast sensitivity in the
vertical meridian. We speculate that his “super” position thresholds
might be a consequence of the neural blur in the vertical meridian – the
meridian corresponding to the offset cue.
To explore the mechanisms underlying perceptual
learning, thresholds were replotted as a function of positional noise throughout
training ( Figure 4), and a positional averaging
model (see “Methods”) was used to fit the data (TvN curves).
Different observers showed different learning patterns: (1) The TvN curves for
observers PD (strab), SL (strab & meridianal), and AR (aniso) gradually
shifted downward across sessions. About the same proportional decrease in
thresholds was observed for all noise settings. (2) In contrast, observers JT
(strab) and DH (strab) showed strong learning effects in low noise, but little
or no learning in high noise. The “knee” points of their curves
gradually shifted to the left in successive sessions. (3) The learning pattern
of observer MS (strab & aniso) seems to be a mixture: the curves gradually
displaced downward and the knee points shifted to the left across the
measurements. Note that KT did not show any significant improvement in
positional discrimination, and thus his TvN curves are not shown in Figure 4.
Figure 4. TvN curves for different
learning mechanisms. (a). Observers PD, SL, and AR show a downward shift of TvN
curves across sessions. (b). Observers JT and DH show a leftward shift of knee
points with practice, with little improvement at high positional noise. (c).
Observer MS shows both a downward curve shift and a leftward knee point shift.
For comparison, the mean data of normal observers are replotted here from our
recent studies (Li et al., 2004).
The improvement in performance reflects increased
sampling efficiency and/or reduced equivalent input noise (shaded area in Figure 5). Observers SL, PD, and AR showed
substantial improvement in efficiency (38%, 77%, and 60%, respectively) after
learning, but no significant changes in equivalent input noise. In contrast, the
improved performance for observers JT and DH was mainly the result of lowered
equivalent input noise (37% and 32%, respectively); no significant changes in
efficiency were observed. On the other hand, observer MS showed both a
significant decrease in equivalent input noise (43%) and an increase in
efficiency (24%). Observer KT showed no improvement in performance and no change
in either equivalent input noise or efficiency.
Figure 5. Pre- and post-training
equivalent input noise
( σi)
(a) and efficiency (b). The post-training TvN curve fitting was based on the
mean thresholds of the last three sessions. The equivalent input noise is
normalized by the stimulus gap size (i.e.,
σi /gap)
to facilitate the comparison between observers. Note that the normal observers
were tested with 10-cpd stimuli (Li et al., 2004). The shaded region indicates the reduced
equivalent input noise and improved efficiency in post-training measurement when
compared to pretraining measurement.
For comparison, we included the post-training data of
normal observers (Li et al., 2004) in Figures 3 and 4.
These observers completed eight training sessions with the same task; they had
better than 20/20 vision and were tested with higher spatial frequency (10 cpd)
stimuli. Generally, the post-training thresholds of amblyopic eyes were higher
than those of normal observers ( Figure 4). Even
after training, two amblyopic observers (AR and KT) showed elevated equivalent
input noise, in terms of gap units, when compared to the mean normal data, and
four observers showed lower efficiency ( Figure
5). It should be noted that the viewing distance was different for normal and amblyopic observers. However, data of a highly experienced observer (author RL) show that equivalent input noise and efficiency are essentially unchanged over the entire range of viewing distances (1-4 m). It is therefore appropriate to compare the equivalent input noise for individual observers using gap units.
We examined the specificity of visual learning (i.e., whether improvement transfers to a different orientation, eye, etc.) to further explore the possible mechanisms for the plasticity. To test whether the visual learning effects transfer to the untrained stimulus orientation, we compared pre- and post-training measurements of thresholds with vertical stimuli. To examine whether the specificity of the visual learning transfers to the trained eye, we performed pre- and post-training measurements with horizontal stimuli in the untrained fellow eye.
Figure 6 shows the
percentage improvement in thresholds across all noise settings for individual
observers; positive values mean that the post-training performance is better
than the pretraining performance and vice versa. The mean of the last three
sessions was used as the asymptotic post-training threshold. The mean percentage
change in thresholds for five observers is also provided in the figure (large
open symbol).
Figure 6. Specificity of learning to orientation, eye and task (Visual Acuity, indicated by VA on the abscissa). The post-training threshold was calculated as the mean of the last three sessions.
In general, there was a small but not significant
decrease in thresholds for vertical stimuli after training with horizontal
stimuli. Moreover, the learning effects were not significantly transferred to
the fellow untrained eye. The pre- and post-training measurements with
horizontal targets in the untrained eye revealed no significant changes in
thresholds for most of the noise settings. It is important to recognize that
there are substantial variations between
observers. Visual acuity and counting
One of the most interesting aspects of our findings is that visual acuity improves while practicing position discrimination; all amblyopic observers showed significant and substantial improvements ranged from 28% to 37% (mean 32.6%; SD 3.0%)
in letter acuities (percent improvement shown in Figure 6, raw data in Figure 7a). Note that for all observers except AR,
sessions 2 and 12 were pre- and post-training measurements with vertical
stimuli. Acuity improved by as much as two letter lines within seven training
sessions. Observers JT and MS showed fast and strong improvements in the first
three sessions, but for observers SL and AR visual acuity started to show
improvement after only two or three sessions, and steep improvements occurred at
the fifth and sixth sessions.
Figure 7. Letter (a) and line (b) acuities
across training sessions. Note that sessions 2 and 12 are tested with vertical
stimuli. For observer AR, all 10 sessions were horizontal. Only pre- and
post-training letter acuity measurements were performed for observers DH, PD,
and KT. The rightmost symbols show the long-term maintenance of
“improved” visual acuity during a period of 3 months to a
year.
It may be argued that the improvement was mainly due to
repeated testing or training of visual acuity. Therefore, in three amblyopic
observers (DH, PD, and KT), only pre-and post-training visual
acuity measurements were performed, with about
six weeks in between these sessions. These three observers also showed
substantial improvement of almost two chart lines from ≈ 1.5 arcmin
(Snellen 20/32–1)
at the beginning to ≈1 arcmin (≈ Snellen 20/20) at the end of the
experiment. Interestingly KT showed no improvement in position thresholds. We
speculate that because of low thresholds and high efficiency, his pretraining
thresholds were at a floor (i.e., they could not be lowered further) due to
anatomical and physiological limitations. Nonetheless, the effects of
repetitious practice, making perceptual decisions with his amblyopic eye,
evidently transferred to improve his visual acuity. This observer failed a
Randot® stereotest (Stereo Optical, Chicago, USA), > 400
arcsec, before the start of learning experiment; we tested his stereoacuity once
again at the end of the experiment and, surprisingly, found substantial
improvement in stereoacuity (25 arcsec).
Strabismic amblyopes often show greater deficits in
acuity when presented with a line of letters than when shown isolated letters.
This is known as the crowding phenomenon. To examine the crowding phenomenon, we
also tested our observers’ line acuities before and after practice. We
found that all observers showed significant improvement in line acuity ( Figure 7b), and there are also important
individual differences. For example, observer JT showed a bigger improvement in
line acuity (52% from Snellen 20/125 -3 to 20/63 -1),
compared with a 37% improvement in letter acuity. The greater improvement in
line than in letter acuity indicates that her crowding was reduced. Observer DH
showed a bigger improvement in letter (34%) than line acuity (21%). On the other
hand, three other observers showed similar improvements in line and letter
acuity. Note that we do not have line acuity data for observers MS and KT; only
their letter acuities are shown in Figure 7a.
Previous work show that strabismic amblyopes have difficulty in counting features and missing features, and point to a high-level deficit (Sharma et al., 2000). To test
whether practice effects transfer to counting, we performed pre- and
post-training measurements of counting performance in three amblyopic observers.
Experimental details can be found in the previous studies by Sharma et al. ( 2000). In the present study, we asked
observers to count the number of Gabor patches briefly presented on the monitor.
Observer AR was tested with 5-cpd Gabor patches, and the others with 10 cpd. We
found that the mean counting threshold of the amblyopic eyes increased by 52%
from 2.8 to 4.3 patches (large filled circle in Figure 8a), whereas the mean thresholds of the
preferred eyes were about the same for both pre- and post-training measurements
(5.2 and 5.4 patches, respectively; large unfilled circle). For observer KT, the
improved post-training performance was comparable to that of the fellow
preferred eye. We also note that observer DH showed a small improvement in
accuracy in post-training measurements. Before training, this observer markedly
underestimated the number of patches when more than five patches were presented
( Figure 8b), replicating the findings of Sharma
et al. ( 2000). After training, the number
of patches reported by DH was significantly closer to the number of patches
presented ( x)
(one-tail Mann-Whitney test: for
x
= 7,
p =
.0395; for x
= 10,
p
= .0112). The other two
observers also markedly undercounted; however, although their counting
thresholds improved, they did not show statistically significant changes in
accuracy.
Figure 8. (a). Counting performance before
and after practicing a position discrimination task. (b). The number of patches
reported is illustrated for observer DH. The shaded area illustrates the better
post-training threshold over pretraining threshold.
In agreement with earlier studies (Levi & Polat, 1996; Levi et al., 1997), our results show that the adult
amblyopic visual system retains a substantial degree of plasticity: repetitive
practice can substantially improve position discrimination acuity. Our use of
positional noise provides new insights into the mechanisms underlying perceptual
learning in amblyopia, enabling us to parse the improvement in performance into
two important factors: decreased equivalent input noise and increased sampling
efficiency. Our results show strong individual differences in the mechanism by
which adult amblyopes learn. With practice, three amblyopic observers improved
mainly by increased sampling efficiency, one observer improved through a pure
decrease in equivalent input noise, and one observer by both. The seventh
observer (KT), who showed very low initial thresholds and high efficiency,
failed to learn, perhaps due to a floor effect. In contrast, the learning
effects in normal observers are mostly acquired through improved efficiency of
about 35%, with equivalent input noise remaining almost unchanged (or very
little changed) (Li et al., 2004). Our recent
study (Li et al., 2004) further demonstrated
that improved efficiency in normal observers was a consequence of retuning of
the observer’s decision template.
Previous studies have shown that the amblyopic visual
system has high levels of equivalent input noise in the visual system and fails
to extract useful information efficiently (Hess & Field, 1993; Levi & Klein, 2003; Wang et al., 1998; Watt & Hess, 1987). Generally, our data ( Figures 4 and 5) seem to support the notion that both strabismic
and anisometropic amblyopes have increased spatial uncertainty. For an
anisometropic observer (AR), the sampling efficiency was about the same or even
better than normal observers. On the other hand, strabismic observers (PD, MS,
DH, and JT) also suffered from spatial undersampling.
Our findings show that repetitive practice can lower
the noise levels and/or boost the amblyopic brain’s ability to use the relevant information more efficiently. We speculate that practice with feedback allows some sort of recalibration or reweighing of disordered visual mechanisms, enabling observers to sample the stimulus information more efficiently and to reduce the uncalibrated internal position jitter. Moreover, our amblyopic observers showed some improvement in higher level visual tasks while practicing position discrimination tasks. This provides evidence for cortical plasticity at higher cortical levels. It has been suggested that learning is mediated by synaptic plasticity (Ahissar et al., 1992; Brown, Kairiss, & Keenan, 1990; Zohary, Celebrini, Brittn, &
Newsome, 1994); perhaps this forms the
basis of cortical reweighting.
Our study differs from the earlier work of Levi and
colleagues (Levi & Polat, 1996; Levi et
al., 1997) in that their stimulus was a pair
of abutting thin lines (which are broadband in spatial frequency). Their Vernier
alignment task is strongly dependent on stimulus visibility, so improvement in
Vernier acuity could, in principle, have been a result of improved line
visibility after practice, or due to a change in the spatial scale of analysis.
In normal vision, abutting Vernier is thought to be limited by the response
properties of contrast-sensitive filters (Levi, Klein, & Carney, 2000). The separated, band-limited (Gabor
sample) stimulus used in the current study is not strongly dependent on
visibility (halving the target contrast has almost no effect on threshold), but
depends strongly on spatial relations, and is thought to be limited by
positional uncertainty (Li et al., 2004).
Transfer and specificity of learning
An alternative hypothesis is that the improvement in performance might have a more trivial explanation. For example, improvement might be in part attributed to high-level cognitive task learning [what Westheimer ( 2001) refers to as “instrument
learning”]. Our 3AFC “odd man out” paradigm requires no memory
and has little cognitive load (even a 4-year-old can do the task). Observers
were given unlimited time, and were instructed to carefully inspect each of the
three positions before making a decision. If the improvement was the consequence
of instrument learning, the improvement should also be generalized to the
untrained orientation and fellow eye. The absence of transfer makes it difficult
to fully explain the improvement on the basis of generalized cognitive learning.
The absence of interocular transfer should be taken cautiously as the fellow
eyes of amblyopic observers were tested with a higher spatial frequency
(2-to-4-fold) than that in the amblyopic eye. We cannot completely rule out the
possibility that transfer might have occurred had we used the same spatial
frequency. Nonetheless, the absence of transfer is not compatible with
generalized instrument learning. Moreover, the gradual improvement in thresholds
across sessions indicates that the changes in sensitivity are genuine.
Another plausible (but uninteresting) explanation is
that amblyopes learn to fixate and/or accommodate more accurately with their
amblyopic eye. Improvement in fixation and/or accommodation is unlikely to
account for the present results for several reasons: (1) Our task (separated
horizontal line segments) is not strongly dependent on precise focus or fixation
(Bedell & Flom, 1985; Schor &
Hallmark, 1978; Williams, Enoch, &
Essock, 1984), and we provided observers
with unlimited time. (2) If the improvement in performance were due to improved
fixation/focus, we would expect the improvement to transfer across orientations.
Our results show that practicing position
discrimination does show transfer to two important tasks: Snellen acuity and
counting. Levi and colleagues also reported that some of their observers showed
transfer to a Snellen task. In the present study, all seven (including KT, who
showed no significant improvement in position acuity) showed improvements in
Snellen acuity. On average, acuity improved by approximately 32.6% for several
mild amblyopes, resulting in single-letter acuity of 20/20 following practice.
The close link between positional and visual acuities has been pointed out
previously (Enoch et al., 1984; Levi &
Klein, 1982; Levi & Klein, 1985; McKee et al., 2003) . We
note that 20/20 single letter acuity does not necessarily imply a
“cure.” Many amblyopes display severe crowding (i.e., poorer acuity
when letters are shown in a line, than for isolated letters) (Flom, Heath, &
Takahaski, 1963; Giaschi, Regan, Kraft,
& Kothe, 1993; Simmers, Gray, McGraw,
& Winn, 1999a). For example,
JT’s letter acuity improved from 20/32 to 20/20; however, although her
line acuity also improved (by a factor of 2), she remains amblyopic
(20/63 –1). Levi et al. ( 1997) have also reported two but not all of
their mild amblyopes had normal crowded acuity after learning a Vernier
task.
To evaluate long-term maintenance of visual acuity
improvement, we again examined visual acuities of four observers 3 to 12 months
after the last day of learning experiment. In
agreement with a recent study, the improvement in visual acuity is essentially
stable for a long time period ( Figure 7)
(Ohlsson, Baumann, Sjostrand, & Abrahamsson, 2002).
Our findings further revealed that when the vision in
the amblyopic eye improves to a level that is comparable to that in the fellow
eye, the recovery of stereopsis is possible in an adult anisometropic amblyopia
(KT). However, no improvement in stereoacuity was observed in the other
“deep” anisometropic amblyope AR. This is probably because there
remains a substantial difference in the visual acuity of the two eyes, and thus
those signals from the amblyopic eye are mostly suppressed.
Perceptual learning and treatment of amblyopia in adults
It is often stated that the visual loss in adults with
amblyopia cannot be treated. Generally,
treatment for amblyopia is only undertaken for children (Bhartiya, Sharma,
Biswas, Tandon, & Khokhar, 2002;
Simmers, Gray, McGraw, & Winn, 1999b). However, there is now
considerable evidence that treatment of amblyopia can be effective in adults
(Levi et al., 1997; Simmers & Gray, 1999). In a case report, Simmers and Gray
( 1999) showed that occlusion therapy
appeared to improve visual acuity and hyperacuity in an adult strabismic
amblyope. There are also reports suggesting that some adult amblyopes recover
vision in their amblyopic eye following loss of vision in their fellow
(nonamblyopic) eye (EI Mallah, Chakravarthy, & Hart, 2000; Rahi et al., 2002), and recent work suggests that there is
substantial recovery of visual perception following long-term deprivation
(Fine, Wade, Brewer, May, Goodman, Boynton, Wandell, & MacLeod, 2003).
Perceptual learning may be thought of as a form of
“active” treatment; observers are engaged in making fine judgments
near the limit of their performance, using their amblyopic eyes (with their
preferred eye occluded), and they receive feedback. A forced-choice task such as
ours is quite demanding. Observers have to compare all three stimuli very
carefully before making decisions about subtle offsets, and the stimuli remained
on the monitor until the observer response was obtained. In each of the training
sessions, they were required to respond to more than 2,250 stimuli (more than 10
kilo-trials in all).
Our results show that perceptual learning is effective
in improving visual performance and that the effects may transfer to visual
acuity. The present study characterized the limits, time course, and mechanisms
of improvement. These findings may be helpful in developing more effective and
efficient treatment regimens for amblyopia. In our laboratory, the
classification image technique is being used to study how the behavioral
receptive fields of the amblyopic brain change with perceptual learning.
This work was supported by a National Eye Institute
grant R01EY01728. Commercial
relationships: None.
Corresponding author: D. M. Levi.
Email: dlevi@berkeley.edu.
Address: School of Optometry and Helen Wills
Neuroscience Institute, University of California-Berkeley, Berkeley, CA,
USA.
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