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Psychophysical measurements of luminance and chromatic spatial and temporal contrast sensitivity in Duchenne muscular dystrophy

Abstract

In children with Duchenne muscular dystrophy, color vision losses have been related to dystrophin deletions downstream of exon 30, which affect a dystrophin isoform, Dp260, present in the retina. To further evaluate visual function in DMD children, we measured spatial, temporal, and chromatic red-green and blue-yellow contrast sensitivity in two groups of DMD children with gene deletion downstream and upstream of exon 30. Psychophysical spatial contrast sensitivity was measured for low, middle, and high spatial frequencies with achromatic gratings and for low and middle frequencies with red-green and blue-yellow chromatic gratings. Temporal contrast sensitivity was also measured with achromatic stimuli. A reduction in sensitivity at all spatial luminance contrasts was found for the DMD patients with deletion downstream of exon 30. Similar results were found for temporal luminance contrast sensitivity. Red-green chromatic contrast sensitivity was reduced in DMD children with deletion downstream of exon 30, whereas blue-yellow chromatic contrast sensitivity showed no significant differences. We conclude that visual function is impaired in DMD children. Furthermore, we report a genotype-phenotype relationship because the visual impairment occurred in children with deletion downstream but not upstream of exon 30, affecting the retinal isoform of dystrophin Dp260.

Duchenne muscular dystrophy; color vision; contrast sensitivity; temporal and spatial visual function; psychophysics


SPECIAL SECTION ON CONTRAST SENSITIVITY IN HONOUR OF

EDUARDO OSWALDO CRUZ

Psychophysical measurements of luminance and chromatic spatial and temporal contrast sensitivity in Duchenne muscular dystrophy

Marcelo Fernandes Costa; Mirella Telles Salgueiro Barboni; Dora Fix Ventura

Universidade de São Paulo, São Paulo, SP, Brasil

Correspondence regarding this article should be directed to Correspondence regarding this article should be directed to: Marcelo Fernandes da Costa Departamento de Psicologia Experimental Instituto de Psicologia Universidade de São Paulo Av. Prof. Mello Moraes, 1721, Bloco A, sala D-9 São Paulo, SP 05508-900, Brasil Phone: +55 11 3091 1918 E-mail: costamf@usp.br

ABSTRACT

In children with Duchenne muscular dystrophy, color vision losses have been related to dystrophin deletions downstream of exon 30, which affect a dystrophin isoform, Dp260, present in the retina. To further evaluate visual function in DMD children, we measured spatial, temporal, and chromatic red-green and blue-yellow contrast sensitivity in two groups of DMD children with gene deletion downstream and upstream of exon 30. Psychophysical spatial contrast sensitivity was measured for low, middle, and high spatial frequencies with achromatic gratings and for low and middle frequencies with red-green and blue-yellow chromatic gratings. Temporal contrast sensitivity was also measured with achromatic stimuli. A reduction in sensitivity at all spatial luminance contrasts was found for the DMD patients with deletion downstream of exon 30. Similar results were found for temporal luminance contrast sensitivity. Red-green chromatic contrast sensitivity was reduced in DMD children with deletion downstream of exon 30, whereas blue-yellow chromatic contrast sensitivity showed no significant differences. We conclude that visual function is impaired in DMD children. Furthermore, we report a genotype-phenotype relationship because the visual impairment occurred in children with deletion downstream but not upstream of exon 30, affecting the retinal isoform of dystrophin Dp260.

Keywords: Duchenne muscular dystrophy, color vision, contrast sensitivity, temporal and spatial visual function, psychophysics.

Introduction

Duchenne muscular dystrophy (DMD) is the most common dystrophy disease, which is caused by an alteration in dystrophin. Duchenne muscular dystrophy affects 1 in every 3500 males (Matsuo, 1996; Nobile, Marchi, Nigro, Roberts, & Danieli, 1997; O'Brien & Kunkel, 2001). The dystrophin gene is composed of 79 exons with approximately 2500 kilobases (kb) of DNA (Nobile et al., 1997) and is located in region 21 of the short arm of the X-chromosome. The defective expression of muscle dystrophin, an X-linked genetic disease, is characterized by progressive muscle degeneration, leading to death (Koenig, Monaco, & Kunkel, 1988).

Genetic alterations may differ in DMD patients. Gene deletions occur with a frequency of 65%; duplications occur with a frequency of 5%; and point mutations or deletions/duplications that occur on a small scale occur in 30% (Sitnik et al., 1997; Verbovaia & Razin, 1997). Severely affected DMD patients might have deletions in the regions of dystrophin that make connections with other proteins, such as the N- and C-terminal regions. The less severe cases may have up to 50% deletions of the total size of the gene. If these deletions occur in the central region and do not affect the rod-form region of dystrophin, then the connection sites with other proteins, such as actin, may be preserved (Zatz, 2002).

One of the aspects of phenotypes of DMD and its milder allelic variant Becker muscular dystrophy (BMD) are alterations in the electric activity of the retina measured by full-field electroretinogram (ERG). These alterations have been found in different studies and vary from 50% to 88% of cases (Blake & Kroger, 2000; Girlanda et al., 1997; Mehler, 2000). The scotopic ERG obtained in the patients with DMD is characterized by a large amplitude reduction that produces a complete suppression of the b-wave, resulting in a negative ERG (i.e., a reduction of the b/a-wave ratio to values below 1; Ino-ue et al., 1997; Pillers, 1999). This suggests dysfunction of the response capacity of ON bipolar rod pathway cells (Pillers et al., 1999) and functionally identifies the outer plexiform layer as the main site of dystrophin in the retina (D'Souza et al., 1995; Fitzgerald et al., 1999; Fitzgerald, Cibis, Giambrone, & Harris, 1994; Pillers et al., 1993; Yang et al., 2001). A phenotype-genotype correlation was evident in these previous studies, in which reductions were associated with deletion downstream of exon 30. Children with deletion upstream of exon 30 showed a normal ERG. The ERG of cone responses under photopic stimulation revealed a lower amplitude and increased latency of the b-wave (Fitzgerald et al., 1994; Pillers et al., 1999; Schmitz & Drenckhahn, 1997), although these alterations were not as evident as the scotopic ERG changes.

Sigesmund et al. (1994) studied vision in 26 patients with DMD and did not find alterations in refraction, ocular motility, or Snellen's visual acuity. Of these patients, 21 were evaluated with the Farsnworth-Munsell 100Hue and Ishihara color vision tests, and only one showed a red-green defect. The usual clinical measure for evaluating human spatial vision is visual acuity, which is the spatial resolution capacity for a high-contrast stimulus. Sigesmund et al. (1994) classified the spatial vision of their 26 patients as normal, based only on their Snellen visual acuity.

In a recent study, which considered the genotype-phenotype association found in the ERG evaluation, we measured color discrimination in DMD children grouped according to their gene deletion site (i.e., downstream of exon 30 [dDMD] or upstream of exon 30 [uDMD]; Costa, Oliveira, Feitosa-Santana, Zatz, & Ventura, 2007). A red-green color vision defect was found in children with dDMD. The uDMD children had normal color vision. These results led us to conclude that the impairment in color vision in these DMD children had at least a partial retinal origin.

Vision in DMD patients has not been extensively examined, and very few studies are available. Table 1 summarizes the studies we could find in the literature.

Little attention has been dedicated to the examination of visual function in patients with DMD. We had previously found evident color perception impairment in subjects with dDMD. The present study further investigated visual function in DMD. Psychophysical measurements of spatial and temporal visual processing were conducted by measuring contrast sensitivity for both spatial (luminance and chromatic) and temporal modulations.

Methods

Subjects

The DMD group was composed of 60 boys aged 9 to 21 years (mean, 14.2 years, standard deviation [SD], 4.1 years). They were referred from the Brazilian Muscular Dystrophy Association (ABDIM) in São Paulo. The control group was composed of 24 healthy boys aged 10 to 23 years (mean= 15.4 years; SD= 3.9 years) with no ophthalmological or systemic diseases that could affect the visual system. All subjects underwent ophthalmological examination and had normal eye fundi and visual acuity. The number of subjects tested for each visual function varied because the contrast sensitivity tests were performed on different days to avoid fatigue, and not all subjects could return for the second session. Luminance spatial contrast sensitivity was measured in 57 Duchenne patients and 24 controls. Luminance temporal contrast sensitivity was measured in 32 Duchenne patients (i.e., 22 dDMD and 10 uDMD) and 24 controls. Chromatic spatial contrast sensitivity was measured in 18 Duchenne patients (10 dDMD and 8 uDMD) and seven controls.

Genetic analysis, aimed at identifying the possible deletion or duplication sites in the dystrophin gene, was performed at the Center for Human Genome Studies, Institute of Biosciences, University of São Paulo. All procedures were performed under the tenets of the Declaration of Helsinki and were approved by the Ethical Committee of the University Hospital, University of São Paulo (CEP-HU/USP 642/06). Signed informed consent was obtained from the subjects after explanation of the nature of the study.

Stimuli and procedure

Temporal and spatial luminance contrast sensitivity was measured psychophysically using the PSYCHO software for Windows, version 2.36 (Cambridge Research Systems). The stimuli were presented on a 19 inch Sony Trinitron monitor (GFD-420) with a Cambridge Research VSG 2/4 graphic card, a sweeping frequency of 100 Hz, and a resolution of 800 ´ 600 dots per inch (dpi). For the spatial luminance contrast sensitivity measures, the stimuli were black and white sinusoidal gratings subtending 4° of the visual angle at 1 m. We tested the following spatial frequencies: 0.5, 1.0, 2.0, 5.3, 9.7, and 19.4 cycles per degree (cpd). The mean luminance of the stimulus was 34.4 cd/m2, measured using an Optical OP200-E photometer (Cambridge Research Systems). The stimulus was presented on a gray background of the same mean luminance. Measurements were made monocularly in one randomly selected eye. For more details on the methods, see Ventura et al. (2005a, b) and Canto-Pereira et al. (2005).

To determine the contrast sensitivity function, we used the psychophysical method of adjustments, in which contrast thresholds were obtained by varying contrast at each spatial frequency. The subject was instructed to inform the examiner when he stopped seeing the stimulus and when the stimulus was back. Because some DMD subjects had motor problems in the upper limbs, the examiner controlled the response box (CB3; Cambridge Research Systems), which had two buttons: one was used to adjust the level of the contrast, and the other was used to record the response. At the beginning of the test, the sinusoidal grating was at the maximum contrast. The examiner then reduced the contrast level in 1% steps from 100% to 0% until the subject was unable to discriminate the stimulus from the uniform background. The contrast level was then further reduced by approximately 5%, and then the examiner increased the contrast level in 1% steps until the subject informed the experimenter that he saw the stimulus again. The procedure was repeated three times at each spatial frequency. The presentation of spatial frequencies was randomized by the software.

For the temporal luminance contrast sensitivity measure, we used sinusoidal modulation between black and white with a 2.7° radius Gaussian function superimposed and a cutoff for the average luminance at 1 SD. The mean luminance level was the same as that used for the spatial contrast measure. We used the following temporal frequencies: 1.0, 2.0, 10.0, 20.0, and 33.0 Hz.

The testing procedure was analogous to that of the spatial contrast sensitivity determination, with the exception that the subject had to inform the examiner whether the stimulus ceased or started to flicker, depending on the direction of change in temporal frequency.

Chromatic contrast sensitivity was determined with counterphase-modulated red-green or blue-yellow sinusoidal gratings with a 4° ´ 4° visual angle at the following spatial frequencies: 0.2, 0.3, 0.5, 0.7, 1.2, and 2.0 cpd. Equiluminance adjustments were made for the red-green stimuli and blue-yellow stimuli at each spatial frequency using a heterochromatic flicker photometry procedure at 20 Hz. All measurements were performed monocularly in the same eye that was selected for luminance contrast sensitivity. The chromaticities of the stimuli in x, y coordinates of the 1931 CIE color space were the following: D6500: 0.296, 0.31; green: 0.225, 0.333; red: 0.356, 0.275; blue: 0.254, 0.2; yellow: 0.386, 0.53. The red-green and blue-yellow axes were orthogonal and corresponded, respectively, to L-M-isolating and S-isolating stimuli (De Valois, De Valois, Switkes, & Mahon, 1997).

Results

A full descriptive analysis was performed for the data. The normality of distribution was checked using the Komolgorov-Smirnov test. Because the results were close to normality, one-way analysis of variance (ANOVA) was used to assess the mean differences, followed by the Fisher Least Significant Difference (LSD) post hoc test when significant differences were observed.

Table 2 shows a summary of the results found for the DMD groups compared with the controls for each visual function tested.

Luminance contrast sensitivity

Spatial modulation

The average (± 1 SD) luminance spatial contrast sensitivity as a function of spatial frequency is shown in Figure 1 for each group. The luminance spatial contrast sensitivity functions (CSFs) exhibit normal bandpass shapes known for sinusoidal gratings in all groups, but the controls' thresholds were higher than the patients' thresholds (Figure 1). A statistically significant difference between the results from control subjects and dDMD subjects was found for the low and lower-middle spatial frequencies (0.5 cpd, F = 17.31, p < .001; 1.0 cpd, F = 26.22, p < .001; 2.0 cpd, F = 30.88, p < .001). For the higher-middle spatial frequency (5.3 cpd, F = 20.72, p < .001) and high spatial frequencies (9.7 cpd, F = 21.42, p < .001; 19.4 cpd, F = 35.89, p < .001), significant differences were found between the controls and the dDMD group.


Temporal modulation

Luminance temporal contrast sensitivity was measured in 32 Duchenne patients (i.e., 22 dDMD and 10 uDMD) and 24 age-matched control subjects. The temporal CSFs exhibited bandpass shapes in all groups (Figure 2). Significant differences were found between groups at all temporal frequencies, with the exception on 33 Hz (p > .05). For 1 and 2 Hz, the control subjects and uDMD patients differed from the dDMD patients (1 Hz, F = 9.87, p < .001; 2 Hz, F = 6.86, p < .001). For 10 and 20 Hz, control subjects differed only from dDMD subjects (F = 8.28, p < .001, and F = 5.03, p = .011, respectively). For 33 Hz, controls and both groups of Duchenne patients had similar thresholds.


Chromatic contrast sensitivity

In the red-green spatial CSF, control subjects and uDMD patients had higher contrast sensitivity values compared with the dDMD group for all spatial frequencies (0.2 cpd, F = 9.43, p = .002; 0.3 cpd, F = 7.27, p = .003; 0.5 cpd, F = 8.96, p = .002; 0.7 cpd, F = 22.54, p < .001; 1.2 cpd, F = 10.53, p < .001; 2 cpd, F = 19.09, p < .001).

Discrepant results were found for the blue-yellow spatial CSF compared with the results of the red-green CSF. Significant differences were found in the control group and uDMD group compared with the dDMD only for the two higher spatial frequencies (1.2 cpd, F = 6.99, p = .004; 2.0 cpd, F = 8.21, p = .002). The red-green and blue-yellow chromatic contrast sensitivity results are shown in Figure 3.


Discussion

The present study revealed visual losses in dDMD patients for the detection of spatial luminance and chromatic sinusoidal gratings and for the processing of temporally modulated stimuli. The visual system in DMD patients has been studied more intensely in the past two decades, mainly using electrophysiological methods (Ino-ue et al., 1997; Fitzgerald et al., 1999; Pillers et al., 1999). The few studies that investigated visual function behaviorally did not find alterations in color vision or visual acuity (Sigesmund et al. 1994). In contrast with these results, our previous work found that a red-green color vision defect existed in DMD children with dDMD (Costa et al., 2007; Costa, Oliveira, Feitosa-Santana, Zatz, & Ventura, 2008). This result was consistent with ERG studies that demonstrated impairment associated with this genotype (Fitzgerald et al., 1999; Pillers et al., 1993, 1999).

To our knowledge, the present study shows the first contrast sensitivity data obtained in patients with DMD. The only information available in the literature about spatial vision in subjects with DMD is from the work of Sigesmund et al. (1994), in which Snellen visual acuity was evaluated in 20 DMD children who were found to have normal vision.

The early studies on vision in DMD children concluded that they had normal vision, despite abnormal ERG findings (Sigesmund et al., 1994). However, we showed in our previous work and in the present study that the dDMD subgroup of children had chromatic and spatial vision impairment, and these impairments were related to a specific visual pathway, as explained below.

Spatial and temporal perception

The spatial luminance contrast sensitivity results showed a reduction in sensitivity in the dDMD subjects compared with control and uDMD subjects. The reduction observed occurred at all spatial frequencies tested, suggesting a decrease in the perceptual ability to visually detect spatial changes of luminance for a wide range of size elements.

The deletion that occurs downstream of exon 30 impairs Dp260 function and the existence of the phenotype-genotype relationship strongly supports the hypothesis that the reduction in CSF could be related to damage of the visual information processing pathways at the retinal level.

The significant reduction in spatial contrast sensitivity of almost one log unit compared with the control group is fundamentally important for clinical application. Unfortunately, the clinical evaluation of spatial visual function is limited to the measurement of visual acuity. For this reason, DMD patients were regarded as having normal vision by Sigesmund et al. (1994).

In the present work, contrast sensitivity was also tested for temporally modulated stimuli. We found a reduction in the detection of luminance contrasts for the two lowest temporal modulations (i.e., 1 and 2 Hz). The reduction affected visual function in dDMD subjects, suggesting a phenotype-genotype relationship. The reduction in the lowest temporal frequencies also has important physiological implications related to the visual pathways, which is discussed in the following section.

No significant difference was found for the highest temporal frequency tested (i.e., 33 Hz). At this temporal frequency, the ability to discriminate differences in contrast was reduced in all groups, and showing differences between groups was not possible. Nevertheless, the similar luminance detection found for the 20 Hz modulations indicates that the information processing for high temporal frequencies was preserved in dDMD children.

Interesting results were obtained with regard to spatial chromatic CSF. For red-green contrast, the sensitivity of dDMD children was significantly reduced compared with controls and uDMD children. However, for the blue-yellow color contrast, the difference was only found for the two highest spatial frequencies tested, with the dDMD children being the most affected group. This result is consistent with our previous study of color discrimination (Costa et al., 2007, 2008), in which we found red-green color vision impairment in dDMD children and normal blue-yellow discrimination.

These results suggest that the dystrophy isoform (Dp260) plays an important role in retina physiology (Ino-ue et al., 1997; Pillers, 1999), and impairment in the gene structure caused by deletions affects many visual functions (Costa et al., 2007, 2008).

Possible visual pathways implications

Visual information is conducted to the visual areas of the brain via three main visual pathways: (i) magnocellular pathway, related to processing of high temporal frequencies and low spatial frequencies, (ii) parvocellular pathway, related to low temporal and high spatial frequencies and red-green color processing, and (iii) koniocellular pathway, related to blue-yellow color vision, low to middle spatial frequencies, and middle to high temporal frequencies (for review, see Xu et al., 2001). The battery of spatial and temporal contrast sensitivity tests that we used supports the hypothesis that the parvocellular pathway is the most affected visual pathway in DMD. With regard to spatial contrast sensitivity, we found impairment at all spatial frequencies, reflecting both magno- and parvocellular pathway impairment. However, temporal contrast sensitivity showed a reduction for the low temporal frequencies (i.e., 1 and 2 Hz), indicating selective parvocellular impairment. In the chromatic contrast sensitivity experiments, selective parvocellular impairment was also found. Red-green color information is processed by the parvocellular pathway, and blue-yellow information is processed by the koniocellular pathway. Our chromatic contrast sensitivity results showed red-green impairment but quasi normal blue-yellow color contrast, in which worse discrimination was observed only for the highest spatial frequencies, reinforcing the conclusion of preferential parvocellular pathway impairment in dDMD children.

Previous studies in DMD children that used electrophysiological methods found impairment in the functions processed by the magnocellular pathways (Benoff et al., 2001). They measured VEPs to checkerboard stimuli of different spatial frequencies in black-gray and white-gray modulation to isolate the ON- and OFF-pathway responses. They found a large reduction in magnocellular ON-pathway luminance processing in dDMD children. Our observation of reduced contrast sensitivity at low spatial frequencies is consistent with this previous study and supports the possible existence of magnocellular impairment in dDMD children. One possibility is that spatial processing mediated by the magnocellular pathway could be impaired despite normal or close to normal temporal processing.

No differences were found between the two DMD groups and controls for blue-yellow contrast sensitivity. This absence of impairment confirms our previous results on chromatic discrimination, showing that dDMD children had selective red-green impairment and normal discrimination along the blue-yellow color confusion axis.

The mechanisms that underlie this color vision loss in DMD are unknown. Some possible explanations may explain why deletion downstream of exon 30 had greater effects in parvo- and magnocellular visual pathway function despite normal visual function processed by the koniocellular pathway. The participation of S-cones in the detection of the luminance levels of stimuli with spatial variations is practically null (Kaiser & Boynton, 1996); therefore, normal S-cone function can coexist with a generalized reduction in spatial contrast sensitivity function, similar to the present observations. Dystrophin is present in all three cone types and in rods, which would lead to the expectation that a deletion in its gene would result in impairment for all visual functions tested. However, our results revealed a different picture. Blue-yellow contrast sensitivity and the response to high temporal frequencies were unimpaired.

The understanding of S-cone color processing in the retina is limited, and the existence of the S-OFF cone pathway in the retina is still not established (Dacey & Packer, 2003; Lee, 2004; Joselevitch, 2008). We may attempt to understand why blue system sensitivity is spared in DMD by examining the morphology of the connections between S-cones and ON bipolar cells. A study by Calkins (2001) showed that ON bipolar cells make contact with S-cones in two different ways: characteristic ON-type invaginating contacts and other numerous semi-invaginating contacts with S-cones. Because dystrophin would affect invaginating contacts because of its location near the synaptic ribbon, it might not influence the physiology of these ON bipolar cells, considering that most of their contacts with S-cones are located close to, but not directly in, the invaginating region. This could explain why DMD children had normal blue-yellow contrast sensitivity. The normal temporal contrast sensitivity for higher spatial frequencies could also be attributable to the specificity of koniocellular pathway synapses. Konio cells have three subgroups: K1 and K2 related to spatial and temporal information processing and K3 related to color processing (Xu et al., 2001). The K1 and K2 subgroups could maintain sufficient information of temporal processing, supporting normal temporal contrast sensitivity for middle and higher frequencies.

Concluding remarks

In recent years, studies have shown that dDMD children have abnormal ERG function. We showed that they also have impairment in spatial, temporal, and chromatic visual function mediated by the parvocellular and magnocellular pathways, with normal blue-yellow chromatic visual function. The phenotype-genotype relationship suggests that the early stages of sensory inputs of visual information are damaged, and the visual losses could be at least partially attributable to impairment in the Dp260 retinal isoform of dystrophin. The selective losses in the parvocellular pathway and magnocellular pathway, although less evident, should be investigated further. Analyses of the anatomical and physiological properties of the retina that could be related to these losses may lead to future studies on retinal structure and physiology.

Children with DMD also have mental impairment, reflected in borderline or reduced scores in the full intelligence quotient and visuospatial tests (Wicksell, Kihlgren, Melin, & Eeg-Olofsson, 2004), visuomotor impairment (Marsh, 1972; Mehler, 2000), a reduction in verbal ability (Bresolin et al., 1994), and impairment in reading ability (Billard, Gillet, Barthez, Hommet, & Bertrand, 1998).

Improvements in respiratory management and pharmacological drugs have increased the life expectancy of DMD children by almost a decade. Understanding their sensory, perceptual, and cognitive capacities will became crucial for increasing their quality of life through the support of more efficient rehabilitation procedures.

Acknowledgements

We would like to thank Mayana Zatz from the Centro do Estudo do Genoma Humano, Depto. Biologia, Instituto de Biociências, Universidade de São Paulo, São Paulo, Brasil, for access to the patients and their genetic information. Financial support was provided by Projeto Temático, FAPESP (02/12344-8) to DFV. MFC and DFV are CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) research fellows, and MTSB has a FAPESP doctoral fellowship (2007/55125-1).

Received 4 March 2011; received in revised form 25 May 2011; accepted 25 May 2011. Available on line 15 June 2011.

Marcelo Fernandes Costa, Mirella Telles Salgueiro Barboni, and Dora Fix Ventura, Departamento de Psicologia Experimental, Instituto de Psicologia, Universidade de São Paulo, São Paulo, Brasil. Marcelo Fernandes Costa, Mirella Telles Salgueiro Barboni, and Dora Fix Ventura, Núcleo de Neurociências e Comportamento, Universidade de São Paulo, São Paulo, Brasil.

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  • Correspondence regarding this article should be directed to:
    Marcelo Fernandes da Costa
    Departamento de Psicologia Experimental
    Instituto de Psicologia
    Universidade de São Paulo
    Av. Prof. Mello Moraes, 1721, Bloco A, sala D-9
    São Paulo, SP 05508-900, Brasil
    Phone: +55 11 3091 1918
    E-mail:
  • Publication Dates

    • Publication in this collection
      23 Aug 2011
    • Date of issue
      June 2011

    History

    • Accepted
      25 May 2011
    • Received
      04 Mar 2011
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