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1Cognition and Action Group, Neurology Department and 2Psychiatry Department, National and Kapodistrian University of Athens, Eginition Hospital, Athens, Greece
Submitted 15 May 2006; accepted in final form 17 November 2006
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ABSTRACT |
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INTRODUCTION |
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In another study de Graaf et al. (1991)
instructed subjects to draw with a pen a line toward a visually presented target and proceed to do this very slowly. It was found that the initial movement direction, measured at the beginning of these slow pointing movements, consistently deviated from the target direction and the pattern of systematic directional errors that emerged was surprisingly identical to the one we observed in fast pointing movements performed in memory conditions. It was also found that the same systematic directional errors were observed when subjects used a pointer to point in the direction of a target in two-dimensional (2-D) space, suggesting that these errors might not be restricted to the execution of a movement. In a follow-up study de Graaf et al. (1994)
showed that the same systematic directional errors were observed when targets were presented using kinesthetic instead of visual input. In a recent study of pointing movements, where the movement endpoints were defined by a passive positioning of the arm, in a location in 2-D space by a robot arm, Baud-Bovy and Viviani (2004)
observed the same pattern of systematic directional errors. A similar systematic directional error pattern was observed when subjects used an isometric force manipulandum to produce force pulses to the direction of visually presented targets without feedback (Massey et al. 1991
).
A common theme in all these studies is that the individual has to specify the direction of a target in 2-D space without the presence of feedback. In all these cases then, the same qualitatively systematic directional anisotropy emerges: a trend of subjects to direct their movements away from the cardinal and toward the oblique directions in 2-D space. What is the origin then of this systematic directional error observed in such diverse tasks both in terms of input (visual, kinesthetic), output (fast or slow movements, isometric forces, pointing with a pointer), and cognitive demands (memory movements, movements toward a visual target)?
In perception research there is a well-described phenomenon of direction anisotropy called the "oblique effect." This term has been used to codify the observed superiority in visual discrimination of the cardinal orientations as opposed to the oblique (Appelle 1972
). The oblique effect was first demonstrated psychophysically by Jastrow in 1893. In these experiments subjects had to reproduce visually presented lines or had to set lines to predefined orientations. It was found that subjects performed better (were faster and more accurate) with horizontal and vertical as opposed to oblique lines. This effect in visual discrimination was observed not only for lines but for a series of visual stimuli that could be oriented. It was also not a particular characteristic of humans but it was observed in other mammals and even in much more primitive animals such as the octopus (see review by Appelle 1972
). It was also shown that this effect in visual discrimination is already present in 6-wk-old infants (Leehey et al. 1975
).
With respect to the origin of the oblique effect in visual discrimination, more trivial explanations such as eye movements, optical disorders, and various dioptric characteristics, as well as the composition of the retinal mosaic, were found to be inadequate (Appelle 1972
). On the other hand, neurophysiological evidence suggested that at least some part of this perceptual phenomenon might rely on cortical mechanisms. Maffei and Campbell (1970)
showed that the amplitude of the evoked potential for visually presented vertical and horizontal gratings was larger than that for oblique gratings. In a recent functional magnetic resonance imaging study it was also observed that the magnitude of the blood oxygenation leveldependent response in area V1 for horizontal and vertical lines was larger than that for oblique lines (Furmanski and Engel 2000
). These findings led to the hypothesis that the oblique effect is related to low-level visual processing in primary visual cortex. In yet other studies that used haptically defined stimuli an oblique effect was also observed, in the sense that gravitationally defined horizontal and vertical axes were more accurately discriminated than oblique axes in blindfolded and blind adults and in blindfolded children (Gentaz and Hatwell 1995
, 1998
). In yet another study Gentaz and Streri (2004)
found a haptic oblique effect in 5-mo-old infants. A theoretical framework (Essock 1980
) to consider the wealth of these findings proposes the existence of two classes of oblique effect: a purely visual one (class 1) related to low-level visual processing in the primary visual cortex and a higher-level oblique effect relying on extraretinal cues (vestibular, kinesthetic, haptic) that extends to cognitive and memory processes (class 2). In a recent study Krukowski and Stone (2005)
found an oblique effect in smooth eye pursuit.
In this study we will strive to establish a connection of the directional error pattern, observed in the pointing tasks described above, to the oblique effect in perception. We will first demonstrate theoretically how these two phenomena could be related. Let us assume that movements are made to neighboring targets and an observer has to use the distributions of endpoint directions to decide whether a particular endpoint is aimed at one target or its neighbor. In Fig. 1A we present the case where the observer would have to discriminate between a target T1 located at a cardinal direction (90°) and a neighbor target T2, as well as between T2 and a target T3 located at an oblique direction (45°). The light shaded areas around T1, T2, and T3 represent the spread of the distributions of movement endpoints around these targets, respectively (S1, S2, and S3), and the overlapping dark shaded area represents the part of the endpoint direction distributions where the observer would not be able to tell whether the movement would be toward T1 or T2. The pattern of systematic directional errors that we previously described would correspond to a shift of T2 to T2a as shown in Fig. 1B. The effect of this shift would be a smaller overlapping dark shaded area between T1 and T2. Thus the observer would be more certain in discriminating T1 from T2. At the same time though this shift of T2 would result in T2a being closer to target T3. Target T2 now shares a shaded area (dark) with target T3 and the observer would be less certain in discriminating T2 from T3. The end result then of the systematic directional error for a target T2 presented between a cardinal and an oblique direction would be better direction discrimination from the cardinal and worse direction discrimination from the oblique direction, which is the definition of an oblique effect. A similar pattern of anisotropy in direction discrimination for the observer would be produced if, instead of a shift in T2, the spread of movement endpoints would increase with increasing directional deviance from the cardinal direction and toward the oblique as shown in Fig. 1C. It is noted here that the two phenomena described in Fig. 1, B and C could theoretically be independent, canceling or adding to each other. In conclusion our theoretical analysis shows that the systematic directional error could indeed be related to differences in direction discrimination between cardinal and oblique directions, thus reflecting an oblique effect in pointing.
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METHODS |
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Five healthy adults (age span: 2838 yr, two men) participated in the memory-pointing (MP) experiment. Three of these subjects plus two new subjects (age span: 2840 yr, two men) performed the arrow-pointing (AP) experiment. All participants were naïve to the purposes of this study and gave written informed consent for participation in the study after a detailed explanation of the experimental procedures. The experimental protocol was approved by the Eginitio Hospital Scientific and Ethics Committee. All participants were right handed and performed the tasks using their preferred right hand.
Setup and procedure for the AP experiment
Subjects sat comfortably in front of a computer monitor (CM630ET, 32.8 cm horizontal x 24.5 cm vertical; Hitachi) at a distance of about 60 cm. The amplitude of the target stimuli was 6 cm from the center target and thus the degrees of visual angle for all stimuli were 5.7°. The subjects used two fingers of their right hand to press the left or right arrow key on the computer keyboard. Each trial started when a filled red disk (diameter: 5 mm) appeared at the center of the screen (center target). After a variable period of 12 s, a second white filled disk (diameter: 5 mm), the peripheral target, appeared at the circumference of an imaginary circle of 6-cm radius in one of 32 directions (11.25° intervals) and a yellow arrow appeared, originating at the center target that was either aligned with the target (50% of cases) or deviating 2.5° away from the target either clockwise (25% of cases) or counterclockwise (25% of cases). The subject was instructed to use the right or left arrow key of the keyboard to respond either "yes" if the arrow and the target had the same direction or "no" if the arrow direction deviated from the target direction. The arrow length varied among four values (15, 30, 45, and 60 mm).
Each subject performed one experimental session every day for 6 days. In each session the subject performed four repetitions for every arrow length, for every target direction in a randomized sequence, for a total of 512 trials (4 repetitions x 4 arrow lengths x 32 target directions). The total number of trials for each subject was 6 x 512 = 3,072.
Data processing for AP
We excluded trials where the latency of the arrow key press was <80 or >5,000 ms. After application of these exclusion criteria we retained 15,335 of the 15,360 trials for all subjects (99.8%).
We then computed a d-prime score for each target direction, each arrow length, and each subject as follows. The total numbers of responses for one subject, one arrow length, and one target direction were grouped in four categories as indicated in Table 1. The correct detection of the same direction of arrow and target was defined as a hit. The probability of a hit was then
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Subjects sat in a darkened room and faced a wooden rectangular board covered with black paper. A digitizer tablet (Calcomp 2000) was laying beneath this wooden board and a mouse device that the subject grasped, using the right arm. The tablet height was adjusted at waist level for each subject. A liquid crystal display projector (TDP-140, Toshiba) was fixed on the room ceiling facing down at the wooden board. Visual stimuli and a cursor indicating the mouse position were produced by a PC computer program (using Delphi 7.0) and projected onto the black paper surface on the board (40 cm horizontally x 30 cm), while the subject moved the mouse on the digitizer tablet below. Although the subject's head was not fixed the distance of the subject's eyes from the board was about 60 cm and the amplitude of the stimuli was 6 cm from the center target; thus the degrees of visual angle were 5.7, as in the AP experiment. The mouse position was sampled at 100 Hz and was displayed on the board surface as a 2.5-mm-diameter round white cursor. The ratio of arm movement to the cursor movement was 1.0.
Each subject performed trials of two tasks: a visual-pointing and a memory-pointing (MP) task. Each trial started when a filled red disk (diameter: 5 mm) appeared at the center of the screen (center target) and the subject moved the cursor in the center target. After a variable period of 12 s, a second white filled disk (diameter: 5 mm), the peripheral target, appeared at the circumference of an imaginary circle of 60-mm radius in one of 32 directions (11.25° intervals). In the visual-pointing task the center target was turned off simultaneously, indicating to the subject to move the mouse-controlled cursor as accurately as possible to the peripheral target. In the MP task the peripheral target remained lit for 300 ms and, after a delay period of 3 s, the center target was turned off. This was the signal for the subject to move to the position of the previously shown peripheral target, by performing a single pointing movement. Herein we discuss the results from the analysis of the directional error, at the end of the movement trajectory, for the MP task only. In the visual-pointing task the error at the end of the movement trajectory was zero by definition because the subject was required to place the cursor on the visible target. The directional error at various points in the trajectory for the two tasks, before the end of the movement, will be discussed in a companion paper. The subject in both tasks was instructed to hold the cursor at the target position for 2 s. Then the center target was turned on again, to signal to the subject to move to the center for the beginning of the next trial. Subjects were instructed to maintain head and trunk in an upright position during task execution and to use only shoulder and elbow movements to move the mouse (no wrist or finger movements). No special equipment was used for stabilizing the trunk or head, although one of the authors was standing behind a participant giving instructions whenever the subject tended to change posture or use wrist or finger movements to perform the task.
Each subject performed one experimental session every day for 6 days (except from one subject who did not complete the first-day session, missing seven trials in the visual pointing task and 22 trials in the MP task). Within each session four repetitions were performed for every target direction for every task; thus in all 256 trials were performed in a randomized sequence (4 repetitions x 32 directions x 2 tasks). Every subject (except the one mentioned above) therefore performed a total of 256 x 6 = 1,536 trials of which 768 were of the MP task.
Data processing for MP
The sampled XY position data from the digitizer were transformed to the location of the feedback cursor on the screen. Although the digitizer had a spatial resolution of 0.01 mm the smallest movement that could be visualized as a cursor movement on the screen was 0.3 mm (one pixel). We chose to use XY movement data of the cursor at the screen (lowest movement detected 0.3 mm) to calculate the direction and amplitude of the movement. The same XY data were also used to calculate the instantaneous speed of the cursor by numeric differentiation. This speed was literally zero when the subject was waiting at the center target because very small movements of the arm that were <0.3 mm did not result in cursor movement. An interactive program (programmed in Delphi 7.0) was used to compute and visualize the instantaneous speed trace, to compute the movement onset (rise of instantaneous speed >0 for three consecutive measurements = 30 ms), and the end of the first movement (return of instantaneous speed to zero and remaining zero for
100 ms).
The cursor XY position at each point within each trial trajectory was transformed to conventional polar coordinates (direction and amplitude) with the origin at the center target. The directional error (DE) was the polar angular difference (in degrees) of a particular point in the movement trajectory minus the peripheral target. A counterclockwise deviation from the peripheral target was defined as positive DE. The amplitude error (AE) was a measure of the difference (in millimeters) of the amplitude at a particular point in the movement trajectory minus the amplitude of the peripheral target that was set to 60 mm. Thus a negative AE corresponded to target undershoot and a positive AE corresponded to a target overshoot. The DE was computed at five points along the movement trajectory: when the amplitude was 15, 30, and 45 mm from the center target and at the end of the first movement. Herein we will discuss only the results for the DE of the first-movement endpoint. The AE was measured at the end of the first movement.
We excluded from further analysis trials where the subject moved before the go signal and trials where the movement started earlier than 80 ms (anticipations) or later than 1,500 ms, after turning off the center target (late onset of movement). We also excluded trials in which the DE was >22.5° or < 22.5° at any one of the five points in the trajectory where it was measured. Finally, we excluded trials where the AE for the first movement was < 15 or >15 mm. After application of these exclusion criteria we retained 3,036 of the 3,818 trials for all subjects (86.6%).
The direction of the first-movement endpoint in the MP experiment was used to measure the following variables for each subject and each target direction:
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For the analysis of each variable of interest in the AP and MP tasks the data for each target direction were regrouped to correspond to a particular directional deviance from a cardinal direction within each one of eight hemiquadrants as shown in Fig. 3. Every target direction corresponds to one of five directional deviances away from the cardinal direction within each hemiquadrant: 0° (corresponding to the cardinal direction), 11.25, 22.5, 37.75, and 45° (corresponding to the oblique direction). Notice that in this regrouping of data, the values corresponding to 0° (cardinal) and 45° (oblique) direction of each quadrant are represented twice (Fig. 3).
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In another analysis a second-degree polynomial was used to model the effects of directional deviance on each of the following variables: dmp, dmps, dmpg, dap15, dap30, and dap45. We used the nonlinear estimation module of the STATISTICA 6.0 software (StatSoft 19942001) to fit the polynomial to our data and estimate the linear and quadratic parameters of the model and their significance. The module uses the GaussNewton method for solving the nonlinear least-squares problem. In general, this method makes use of the Jacobian matrix J of first-order derivatives of a function F to find the vector of parameter values x that minimizes the residual sums of squares (sum of squared deviations of predicted values from observed values).
For all statistical analyses we used the STATISTICA 6.0 software.
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RESULTS |
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Figure 4, AC shows the modulation of dap15, dap30, and dap45, respectively, with target direction. It can be seen that d-prime increases for cardinal directions and decreases for the obliquea phenomenon that is present for all subjects. Thus all subjects were more accurate at discriminating a 2.5° deviation of the arrow from a cardinal direction and less accurate at discriminating this deviation from an oblique direction reproducing an oblique effect. A comparison of the figures also shows that discrimination efficiency (higher d-prime scores) increases with increasing arrow length, as expected (e.g., the values of dap45 are generally higher than those for dap30 and in turn the values for dap30 are higher than those for dap15).
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We then analyzed separately the effect of direction deviance on dap for each arrow length. A repeated-measures ANOVA confirmed a significant effect of directional deviance on dap15 [F(4,140) = 52.8, P < 105], dap30 [F(4,140) = 42.28, P < 105], and dap45 [F(4,140) = 18.24, P < 105], whereas the subject x directional deviance interaction was not significant in all cases. Finally, there was no significant directional deviance effect for dap60, as expected. In Fig. 6A the effect of directional deviance on dap15, dap30, and dap45 is presented. A clear oblique effect is present for the small arrows (15 and 30 mm), whereas for the 45 mm arrow it is less clear.
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MP task
Figure 5A shows the modulation of mean DE for each subject and the mean for all subjects for each target direction. The variation of mean DE produced a pattern similar to that described in our previous work (Gourtzelidis et al. 2002; Smyrnis et al. 2001). Figure 5B shows the modulation of gain for each subject and the mean for all subjects for each target direction. It can be seen that the gain is generally higher in the cardinal target directions (0, 90, 180, and 270°) compared with the oblique. The repeated-measures ANOVA showed a significant effect of directional deviance [F(4,140) = 54.1, P < 105] and a nonsignificant subject x directional deviance interaction [F(16,140) = 1.1, P = 0.35].
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Figure 5D shows the modulation of dmp for each subject and the mean for all subjects for each target direction. A pattern similar to that for the d-prime in the AP task can be observed: that dmp was larger in the cardinal directions and smaller in the oblique, representing an oblique effect. Figure 6B shows the modulation of dmp with direction deviance and again the oblique effect is evident. The repeated-measures ANOVA of dmp showed a significant effect of directional deviance [F(4,140) = 13.8, P < 105] and a nonsignificant subject x directional deviance interaction [F(16,140) = 1, P = 0.46].
In conclusion this analysis showed a significant effect of directional deviance from the cardinal directions for gain, directional variance, and the d-prime in the MP task. An oblique effect was evident in the case of d-prime for the MP task.
Modeling of the oblique effect in AP and MP
Figure 6A shows the effect of directional deviance on the d-prime measures in the AP task and Fig. 6B shows the effect of directional deviance on the d-prime measures for the MP task. A steep decrease of d-prime close to the cardinal direction and then a plateau close to the oblique direction can be observed in most cases. A function that describes this decrease is a second-order polynomial of the form
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Figure 7, A, B, C shows a comparison of the constant a, linear b, and ratio r coefficients for dmp, dmpg, dap15, dap30, and dap45. The bars denote 95% confidence intervals for these coefficients. It can be seen in Fig. 7A that the constant a differed in all tasks and the 95% confidence intervals did not overlap. The linear coefficient b (Fig. 7B) differed between the AP and MP tasks, whereas it was similar for the two small arrow lengths in the AP task (dap15 and dap30) where the 95% confidence intervals overlapped. There was no linear coefficient for dap45 because the model in that case was reduced to Eq. 11 as previously described. Finally the ratio coefficient r (Fig. 7C) was very similar for dap15, dap30, and dmpg and smaller for dmp but with overlapping 95% confidence intervals. There was no ratio coefficient for dap45.
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DISCUSSION |
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We could argue that an oblique effect in the memorized motor representation of target direction could be the result of a shared reference frame between visual perception and memory movement. The existence of the motor oblique effect could be explained using two alternative hypotheses that are not mutually excusive. The first hypothesis is that the direction representation in the motor system itself produces an oblique effect. This would implyin analogy with the visual systemmore neurons coding for cardinal directions than for oblique. This hypothesis does not seem to fit with current knowledge on direction specificity in the motor areas. Georgopoulos and colleagues (1988)
showed in the monkey primary motor cortex that directionally tuned neurons are homogeneously distributed with no underrepresented areas of directional space. There is the possibility, though, that other motor areas that are more related to visual processing would have a larger neural representation for cardinal directions compared with the oblique. Such an area, for example, could be the ventral premotor cortex where Schwartz et al. (2004)
showed that neurons respond to the perceived and not the actual trajectory of an arm movement. Still we believe that the oblique effect in memory movements is not the result of an anisotropic neural representation of direction in the motor system. The main argument against this hypothesis is that we do not find a significant oblique effect in the variance of directional error in memory movements. If more neurons would be encoding the cardinal directions compared with the oblique then we would expect that the coding for these directions would be less noisy, thus resulting in less variable directional error. Still this hypothesis needs to be rigorously tested in future neurophysiological experiments.
The alternative hypothesis is that the oblique effect in the motor system originates in the perceptual system. An anisotropic perceptual representation of directional space is thus transferred to the motor system. In a recent study Krukowski and Stone (2005)
measured how well subjects discriminated the direction of a moving target when this deviated from a cardinal direction compared with an oblique direction while subjects followed the moving target with smooth eye pursuit movements. The authors, by transforming the direction of smooth eye pursuit into a binary decision to match the perceptual decision, showed that both the perceptual discrimination of target motion and the discrimination based on smooth eye pursuit shared the same qualitatively oblique effect, that is, a better discrimination for cardinal than for oblique directions. This result is very similar to our finding of a shared oblique effect in a memory-pointing task and a perceptual decision task (the arrow-pointing task). Krukowski and Stone (2005)
furthermore decomposed the oblique effect in smooth eye pursuit in two components: one related to changes in the variance of pursuit direction between cardinal and oblique directions of target motion and one related to changes in the gain. In striking resemblance to our results they observed that the oblique effect in smooth eye pursuit was the result of a modulation in gain and not variance. We also observed that our model of the oblique effect in the AP and MP tasks was successful when the d-prime in the MP task was computed based only on the gain variations with direction but was not successful when the d-prime was computed based only on the variance variations with direction. It is interesting to note here the very close similarity of the shape factor of the model for the oblique effect based on gain variations (dmpg) and the perceptual oblique effect (see Fig. 7C). In their study Krukowski and Stone (2005)
postulate that an anisotropic visual representation of direction is transferred to motion processing areas in the brain. Our findings suggest that this representation might also be transferred to arm-movementrelated areas of the brain.
We could further refine the hypothesis of a similar representation of directional space between perceptual and motor systems and ask whether the perceptual oblique effect that is transferred to the motor representation in memory movements is a class 1 or class 2 effect. A class 1 oblique effect suggests a distorted representation of visual space produced in primary visual cortex that is reflected later on in all visuomotor transformations. However, this hypothesis cannot explain the findings of Baud-Baudry and Viviani (2004)
, that is, the presence of the same pattern of directional errors, suggesting the presence of the same motor oblique effect, in a motor task where subjects had to move their arm to a position that was instructed by a prior passive movement of the arm. In fact the presence of the same oblique effect in smooth eye pursuit, memory pointing with visual input, and pointing with kinesthetic input suggests that a class 2 oblique effect contaminates eye and arm movement in all these conditions.
A prominent theory on the dissociation of ventral and dorsal streams proposes an anatomical and functional segregation between vision for perception and vision for action (Goodale and Milner 1992
). In this view the representation of visual space in the dorsal stream involves accurate representations of spatial locations based on egocentric frames of reference that are used to guide movements of the eye and arm. On the other hand, the representation of visual space in the ventral stream involves relative representations of spatial locations that are prone to the effects of visual illusionsand are thus inaccurateand use allocentric reference frames. These representations are used to detect objects in the visual world, categorize them, and attribute abstract properties to them such as a name. This theory would then predict that perceptual phenomena would not contaminate the space representation for visuomotor processing. In this study we have evidence for such a contamination by the oblique effect in specification of the direction of memory-pointing movements. Is this result against the theory? In a refinement of the actionperception dissociation Goodale and Westwood (2004)
propose that this dissociation is present only when reaching and grasping of objects is performed in real time. When delays are introduced in reaching and grasping the memory trace of the object that is used is more related to the ventral perceptual stream. This memory representation then is prone to perceptual phenomena such as visual illusions, whereas the representation for reaching and grasping under visual guidance is not (Goodale and Westwood 2004
; Goodale et al. 2003
; Hu and Goodale 2000
). In accordance with this theory we observed that the memory representation of target direction is affected by a perceptual distortionthe oblique effect. The prediction of this theory then would be that this oblique effect would not be present in the programming and execution of direct pointing movements to a visual target. We will fully investigate this hypothesis in a later study.
In conclusion we showed that memory-pointing movements and visual perception share an oblique effect in direction discrimination that is reflected in a distorted representation of directional space, implying similarity in the processing of directional information in these conditions.
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GRANTS |
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FOOTNOTES |
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Address for reprint requests and other correspondence: N. Smyrnis, Psychiatry Dept., National University of Athens, Eginition Hospital, 72 Vas. Sofias Ave., Athens, GR-11528, Greece (E-mail: smyrnis{at}med.uoa.gr)
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