Abstract
One of Luria's favorite neuropsychological tasks for challenging frontal lobe functions was Link's cube test (LCT). The LCT is a cube construction task in which the subject must assemble 27 small cubes into one large cube in such a manner that only the painted surfaces of the small cubes are visible. We computed two new LCT composite scores, the constructive plan composite score, reflecting the capability to envisage a cubical-shaped volume, and the behavioral (dis-) organization composite score, reflecting the goal-directedness of cube construction. Voxel-based lesion-behavior mapping (VLBM) was used to test the relationship between performance on the LCT and brain injury in a sample of stroke patients with right hemisphere damage (N = 32), concentrated in the frontal lobe. We observed a relationship between the measure of behavioral (dis-) organization on the LCT and right frontal lesions. Further work in a larger sample, including left frontal lobe damage and with more power to detect effects of right posterior brain injury, is necessary to determine whether this observation is specific for right frontal lesions.
Introduction
Luria () proposed that the frontal lobes are essential for organizing goal-directed behavioral sequences, and accordingly, that frontal lobe damage disrupts the self-regulated structure of behavior. For frontal lobe patients, individual fragments of sensation and perception, of thought and action may be preserved; yet, the process of organizing these fragments into a useful structure is severely impaired. According to Luria (), the plan of action, if existent, loses its regulatory influence on behavior, and the goal-directed structure of behavior is replaced by disorganized behavior. Thus, rather than examining relevant properties and conditions, these patients often behave in an impulsive manner, i.e., without an analysis of what needs to be done, or of what objects and operations are available to do it.
One of Luria's favorite neuropsychological tasks for challenging frontal lobe functions was Link's cube test (LCT; Link, , )1. The LCT asks patients to construct a single large cube by assembling 27 small cubes in such a manner that only the painted surfaces of the small cubes are visible (see Figure 1). The large cube was first of all presented to the subject in the original LCT. Only after its demolition, the subject started to construct a replication, rendering the LCT basically a technique for the assessment of visuo-constructive abilities (Link, ). In Luria's variant of the LCT, the initial presentation of the large cube was omitted2, rendering the LCT a spatial problem solving task—the problem being defined by the mismatch between the initial state of the scattered small cubes (see Figure 1, left panel) and the spatially arranged final goal state of these cubes (see Figure 1, right panel).
Figure 1
Metzler (
Criterion validity of the LCT global composite score could also be established. Metzler (
The study by Metzler (
In the present study, we investigated the sensitivity of performance on the LCT (Metzler,
Metzler's study (
Materials and methods
Subjects
Thirty-two (19 male, 13 female) acute first-ever, right-hemisphere-damaged stroke patients with damage centering on or involving the frontal lobe in most patients participated in the study (see Table 1 for details). We solely included right-hemisphere-damaged stroke patients in order to examine whether performance on the LCT is sensitive to focal right frontal lesions. In addition, task performance of left-hemisphere-damaged stroke patients might be distorted due to paresis and/or apraxia of the dominant hand. Further, left-hemisphere strokes might have hampered the capability to understand task instructions, due to the potential presence of sensory aphasia4. Patients with diffuse or bilateral brain lesions due to traumatic brain injury, brain tumors, subcortical arteriosclerotic encephalopathy, or any other dementing disease were excluded. Patients without prior psychiatric disease or those without alcohol or drug abuse were recruited. Further, patients with gross neurological defects (pronounced pain as reported by the patient, left homonymous hemianopia as revealed by clinical examination, hemispatial visual neglect) were also excluded to make sure that these symptoms did not interfere with task performance4. Spatial neglect was diagnosed when a patient showed the characteristic clinical behavior such as orienting toward the ipsilesional side when addressed from the front or the left and/or ignoring contralesionally located people or objects. All patients gave their informed written consent to participate in the study, in accordance with the ethical standards of the Declaration of Helsinki. Table 1 shows demographic and neuropsychological participant characteristics. Appropriate ethical approval was obtained from the Ethics Committee at the Technische Universität Braunschweig.
Table 1
| N | M | SD | |
|---|---|---|---|
| Age | 32 | 59.66 | 10.18 |
| Years of education | 32 | 12.27 | 2.23 |
| Handedness | 32 | 0.94 | 0.26 |
| ADS-L [z] | 23 | 0.06 | 0.86 |
| MMSE [RS] | 32 | 27.47 | 2.24 |
| WST [z] | 29 | −0.32 | 0.84 |
| RWT—subtest s-words [PR] | 32 | 36.53 | 25.59 |
| RWT—subtest animals [PR] | 32 | 37.88 | 29.96 |
| MCST—N categories [RS] | 27 | 5.30 | 1.35 |
| MCST—N perseveration errors [RS] | 27 | 2.30 | 3.42 |
Demographic and neuropsychological patient characteristics.
Allgemeine Depressions-Skala, Langform [General depression scale, long form] (ADS-L; Hautzinger and Bailer,
Sex: m, male; f, female; years of education: school and vocational education; N, number of patients; PR, percentile rank; M, Mean; RS, Raw Score; SD, Standard deviation; z, z-score.
Test description, administration and scoring
The stimulus materials and the specifications for administering the LCT are presented in Figure 1. The LCT behavior ratings consist of the following 10 scores (cf. Metzler,
Exploration. The item provides a rating of behavioral evidence for “preliminary investigative activity,” problem identification, and means-end analysis, most notably inspection and sorting of the small cubes. If patients sorted all cubes, the score was three; if they sorted a subset of cubes, the score was two; if they merely inspected individual cubes, the score was one; if they did not explore the cubes at all, the score was zero.
Spatial sub-goaling. The item provides a rating about how the edge length of the large cube was planned. If patients counted the small cubes and correctly calculated the edge length of the large cube, the score was three; if they counted, but calculated incorrectly, the score was two; if they counted, but did not calculate, the score was one; if they did not count nor calculate, the score was zero.
Action organization. The item provides a rating of the capability to organize goal-directed sequences of actions. If patients showed planned, consequential and goal-directed use of the small cubes, the score was three; if they did so, but also showed spontaneous and needless behaviors, the score was two; if they showed grossly disorganized behavior, the score was one; if they showed behavioral chaos, the score was zero.
Mental spatial structure. The item provides a rating of whether patients built the idea of a three-dimensional cube resting on a quadratic basic shape, and whether their actions followed this anticipated final goal state in a stringent manner. If patients showed behavioral evidence for a three-dimensional imagination, for a quadratic shape, and for a stringent use of the small cubes, the score was three; if they showed behavioral evidence for a three-dimensional imagination, yet placed the small cubes in a highly insecure manner, the score was two; if they failed to show behavioral evidence for both, a three-dimensional imagination and for a quadratic basic shape, the score was one; if they constructed non-quadratic shapes (such as rectangles, rings, or walls) in a single layer, the score was zero.
Attention control. The item provides a rating of the capability to maintain attention to the color of the outer surface of the large cube. If patients committed only a few surface color errors, and if they corrected these errors during construction, the score was three; if they committed several surface color errors, and if they failed to correct one or two of these errors during construction, the score was two; if they failed to control for surface color errors, and if they failed to correct several of these errors during construction, the score was one; if they committed many surface color errors, and if they failed to correct many of these errors, the score was zero.
Error correction. The item provides a rating of the organization of error correction, ranging from the goal-directed search for errors by re-constructing specific parts of the cube to the repeated demolishing of the entire cube. If no error correction was required, the score was three; if the search for errors proceeded in a well-regulated manner, the score was two; if the search for errors proceeded in a less orderly manner with some needless cube deconstructions, the score was one; if the search for errors proceeded in a disordered manner with many needless cube deconstructions, the score was zero.
Edge length. The item provides a rating about how the edge length of the large cube was achieved. If patients reached at the correct edge length of the large cube immediately, the score was three; if they began initially with an incorrect edge length, but corrected the edge length by themselves, the score was two; if they began initially with an incorrect edge length, and if they corrected the edge length only when an obvious lack of small cubes enforced them to do this, the score was one; if they repeatedly constructed their large cube with an incorrect edge length, and if they did not achieve to correct the edge length by themselves, the score was zero.
Final state. The item provides a rating about the appropriateness of the final state. If the final state was without any error, the score was three; if the final state featured one or two errors, the score was two; if the final state manifested three or five errors, the score was one; if the final state showed many errors, or if the large cube was incomplete, or if the task was aborted, the score was zero.
Number of cues. The item provides a rating of the number of cues that were given to the patient. If no cues were provided, the score was three; if the instruction was repeated or explained once, the score was two; if the instruction was repeated or explained twice, or if cues on incorrect construction were given, the score was one; if multiple cues were provided, the score was zero.
Time requirement. The item categorizes the amount of time required on the task. If patients needed less than 4 min, the score was three; if they needed 4–6 min, the score was two; if they needed 6–10 min, the score was one; if they needed more than 10 min, the score was zero.
Instructions were worded as follows: “Your task is to construct one large cube by assembling the many small cubes that lie in front of you. If we look at it, the large cube must appear white throughout. That's why some, but not all, of the surface areas of the small cubes are white. Please bear in mind that the later invisible surface area of the large cube must also be white. None of the small cubes may be left over. And also keep in mind: Cubes are defined as having three sides of equal length. I measure the time it takes you to construct the large cube, but the time it takes is of only negligible importance to me. I am mainly interested in seeing how you solve your task. Do you have questions before we start?”
It is appropriate to provide cues to the patient under the following conditions: (1) The patient constructs walls or rectangles, but not a cube, even after several attempts. (2) The patient uses repeatedly wrong edge lengths. (3) The patient refuses further participation. (4) The patient accomplished the cube, but with errors that are not recognized by the patient. Cues may consist of parts of the instructions, including the explanation of how cubes are defined, or hints on errors.
The LCT global composite score was computed (range: 0–30) by summing up the 10 individual LCT rating values (Metzler,
There is also a psychometric rationale for combining individual scores to linearly combined composite scores, such as the LCT constructive plan composite score and the LCT behavioral (dis-) organization composite score. Specifically, the reliability of linearly combined composite measures exceeds the reliabilities of the individual measures upon which they are based (Nunnally and Bernstein,
Lesion analysis
Magnetic resonance imaging (MRI) was performed in 28 stroke patients and computed tomography (spiral CT) scanning was performed in four patients. The initial scanning was optionally repeated during the following days until the infarcted area became clearly demarcated. The mean time interval between lesion onset and the MRI scan that was used for the present analysis amounted to 4.3 days (SD = 3.1); the mean time interval between time of lesion and CT scanning lasted 0.25 days (SD = 0.5). MRI scans were obtained on a 1.5 T echo planar imaging (EPI) capable system (Philips Intera, Philips Medical Systems, Best, The Netherlands). The MRI protocol used diffusion-weighted imaging (DWI, N = 12) and T2-weighted fluid-attenuated inversion-recovery imaging (FLAIR, N = 16). DWI was performed with a single-shot EPI spin echo sequence [25 axial slices; repetition times (TR), either 3690, 4000, 4452, 5060, 5300, or 6360 ms; echo times (TE), either 90, 95, or 120 ms; field of view (FOV), 230 × 230 mm2; matrix 64 × 64 pixels; slice thickness, 5 mm; gap, 5.5 mm]. The FLAIR sequences were acquired with 25 axial slices (thickness, 5 mm) with an interslice gap of 5.5 mm, a FOV of 220 × 220 mm2, TR of either 4000, 5397, 5500, or 6000 ms, and TE of either 89, 91, 100, or 120 ms. CTs were obtained on a spiral scanning system (Somatom Sensation 16, Siemens Healthcare, Erlangen, Germany) with a slice thickness of 3 mm infratentorial and 6 mm supratentorial and an in-plane resolution of 0.5 × 0.5 mm.
Lesion location was evaluated using MRIcroN software (Rorden et al.,
In patients with spiral CT scans, lesions were drawn directly by an experienced neurologist (Hans-Otto Karnath; blinded for test performance) on the slices of a normalized T1-weighted template MRI scan from the MNI with a 1 × 1 mm in-plane resolution, distributed with the MRIcroN toolset. Lesions were mapped onto the slices that correspond to MNI Z-coordinates [−16, −8, 0, 8, 16, 24, 32, and 40 mm] by using the identical or the closest matching axial slices of each individual patient.
To evaluate the relationship between lesion location and performance on the three LCT composite scores [global composite score, constructive plan composite score, and behavioral (dis-) organization composite score], three voxel-based lesion-behavior analyses were performed using the MRIcroN toolset (Rorden et al.,
Results
Neuropsychological test results on the LCT
Table 2 summarizes the performance of the patients on the LCT. The average LCT global composite score amounted to M = 10.97 (SD = 8.65), against M = 22.8 (SD = 4.3) in healthy males and M = 20.8 (SD = 5.2) in healthy females of Metzler's (
Table 2
| LCT score | M | SD | Mdn | IQR |
|---|---|---|---|---|
| Global composite | 10.97 | 8.65 | 8.00 | 11.50 |
| Exploration | 0.84 | 0.99 | 1.00 | 1.00 |
| Spatial sub-goaling | 1.28 | 1.11 | 1.00 | 2.00 |
| Action organization | 1.16 | 1.01 | 1.00 | 2.00 |
| Mental spatial structure | 1.72 | 0.96 | 2.00 | 1.00 |
| Attention control | 0.97 | 1.00 | 1.00 | 2.00 |
| Error correction | 0.88 | 0.98 | 1.00 | 1.00 |
| Edge length | 1.28 | 1.37 | 1.00 | 3.00 |
| Final state | 1.19 | 1.12 | 1.00 | 2.00 |
| Number of cues | 1.00 | 1.14 | 1.00 | 1.75 |
| Time requirement | 0.66 | 0.83 | 0.00 | 1.00 |
| Constructive plan composite (2 + 4 + 7) | 4.28 | 3.12 | 3.00 | 5.75 |
| Behavioral (dis-) organization composite (3 + 5 + 6) | 3.00 | 2.74 | 3.00 | 4.75 |
Neuropsychological results on the LCT.
IQR, inter-quartile range (Q75–Q25).
Lesion analyses: LCT scores
Table 3 summarizes the results obtained with the BM-test over the three LCT composite scores [LCT global composite score, LCT constructive plan composite score, and LCT behavioral (dis-) organization composite score] to identify whether or not there were voxels that, when injured, were associated with the presence of behavioral disturbances on the LCT. Statistical significance was found solely for the behavioral (dis-) organization composite score (i.e., the sum over the items 3, 5, and 6).
Table 3
| LCT score | max. BMz | zcrit |
|---|---|---|
| Global composite | 3.121 | 3.390 |
| Constructive plan composite (2 + 4 + 7) | 3.121 | 3.481 |
| Behavioral (dis-) organization composite (3 + 5 + 6) | 3.320* | 3.239 |
Brunner–Munzel test statistics (maximum Brunner–Munzel z-score, critical Brunner–Munzel z-score) over the three LCT composite scores.
p < 0.05.
Lesion analyses: lesion overlap and power maps
Figure 2A shows an overlay lesion plot of all 32 patients in eight axial slices of a standard brain (i.e., in MNI space). Inspection of Figure 2A reveals that the maximum lesion overlap occurred in the right prefrontal cortex (PFC) where up to 10 patients showed lesions in single voxels. Figure 2B shows the results of the retrospective power analyses for each of the three LCT composite scores. These power maps demonstrate that in all areas where the lesions of at least three patients overlapped, we had sufficient power to potentially detect a significant difference between the behavioral scores of patients with a lesion and the behavioral scores of patients without a lesion.
Figure 2

Overlay lesion plot of all 32 patients and the results of the retrospective power analyses for each of the three LCT composite scores. The number of overlapping lesions (A) is illustrated by color, from violet (N = 3) to red (N = 10). Maximum overlap occurred in the right frontal lobe. The results of the power analyses (B) are shown in red [top row: LCT global composite, middle row: LCT constructive plan composite, bottom row: LCT behavioral (dis) organization composite]. These power maps demonstrate that in all areas where the lesions of at least three patients overlapped, we had sufficient power to potentially detect a significant difference between the behavioral scores of patients with a lesion and the behavioral scores of patients without a lesion. Numbers indicate MNI z-coordinates.
Lesion analyses: LCT behavioral (dis-) organization composite score
Figure 3C depicts the location of those voxels for which the voxel-based lesion-behavior analysis revealed a significant association between voxel damage and the LCT behavioral (dis-) organization composite score (cf. Table 3). Inspection of this map reveals a particular area within the right frontal lobe that is statistically related with low LCT behavioral (dis-) organization composite scores. Specifically, a significant BMz value of 3.32 was found in a voxel at MNI coordinates X = 37, Y = 19, Z = 32, a white matter coordinate underneath cortical area BA9 (depicted in red, see also the magnified cut-out). The presence of a lesion in this voxel was associated with lower LCT behavioral (dis-) organization composite scores.
Figure 3

Anatomical results obtained from the voxel-based lesion-behavior mapping on the LCT global composite score (A), the LCT constructive plan composite score (B), and the LCT (dis-) organization composite score (C). The anatomical results without control for multiple comparisons (zcrit = 1.65) are depicted in blue. The significant result obtained for the LCT behavioral (dis-) organization composite score is shown in red (see magnified cut-out for a better view). Numbers indicate MNI z-coordinates.
Figure 3 additionally shows the results of the statistical analysis without correction for multiple comparisons for the LCT global composite score, for the LCT constructive plan composite score, and for the LCT (dis-) organization composite score (blue). These maps allow the reader to assess whether the single significant voxel really represents a statistical value that differs meaningfully from statistical values obtained from other areas of the brain. As can be seen from Figure 3A, the LCT global composite score was associated with lesions in two regions of the brain, notably an occipital and a lateral prefrontal region, but none of the voxels within these regions survived correction for multiple comparisons. Further, as revealed by Figure 3B, superior parietal lesions and fronto-parietal white matter lesions led to decrements in the LCT constructive plan composite score, but again, none of the voxels within these regions survived correction for multiple comparisons. Finally, Figure 3C reveals an occipital and a lateral prefrontal region related to (dis-) organized composite performance on the LCT, but only a single voxel within the lateral prefrontal region (see above) reached the conventional level of significance after correction for multiple comparisons.
Discussion
We observed a relationship between performance on the LCT and frontal lobe injury in a sample of stroke patients with right hemisphere damage. Specifically, as revealed by VLBM, right frontal lesions affected the measure of behavioral (dis-) organization on the LCT. The association between frontal lobe damage and behavioral (dis-) organization on the LCT surpassed significance in a single voxel within the right frontal lobe (BA9). The current study adds to the literature in multiple ways: First, it represents a shift from a purely clinical approach toward a more scientific one when it is compared to Luria's (
The relationship between right frontal damage and behavioral (dis-) organization on the LCT is of importance against the background that there are few measures available for assessing functional disability in right frontal patients (Lezak,
According to our clinical experience, the LCT is an ingenious method to assess core aspects of executive behavior (Kopp et al.,
To conclude, our findings suggest that aspects of performance, namely the degree of behavioral (dis-) organization, on the LCT are sensitive to right frontal lobe damage. However, all our patients suffered from damage to the right frontal lobe and we can thus, not compare the performance of patients with damage to the right frontal lobe to the performance of patients with damage elsewhere. We can, as a consequence, not draw firm conclusions concerning the specificity of the relationship between damage to the right frontal lobe and behavioral (dis-) organization on the LCT. Specifically, future work should examine performance on the LCT in patients with left frontal lesions and in patients with posterior lesions. Future collection of data should also identify the extent to which behavioral (dis-) organization on the LCT maps on real-world behaviors. Finally, we would like to stress that the scoring system is the major weakness of the LCT assessment since some of the behavioral measures seem overly subjective. Improving the assessment of performance on the LCT might be found in the application of virtual reality techniques to minimize the influence of non-objective factors that potentially affect LCT scores. Further improvements of the quantitative scoring system for assessing dysexecutive behavior on the LCT will eventually enhance the objectivity, reliability and validity of this assessment technique.
Conflict of interest statement
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Statements
Acknowledgments
This work was supported by the ZNS—Hannelore Kohl Stiftung, Bonn, Germany [grant number 2004007 to Karl Wessel and Bruno Kopp], by the Erwin-Röver-Stiftung, Hannover, Germany [grant number 20082014 to Karl Wessel], by the Deutsche Forschungsgemeinschaft [DFG; grant numbers KA 1258/15-1 to Hans-Otto Karnath and HA 58393/3-1 to Bianca de Haan and Hans-Otto Karnath] through an “Open Access Publikationsfonds” to the Hannover Medical School.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Footnotes
1.^Henry Charles Link (1889–1952) was a psychologist and the author of a book which was entitled Employment Psychology—The Application of Scientific Methods to the Selection, Training, and Rating of Employees (Link,
2.^Luria's variant of the LCT seems to be based on Link's (
3.^Metzler's variant of the LCT was substantially based on his professional experience in Luria's laboratory (Metzler, pers. commun., May 13, 2003). The second edition of the Standardisierte Link'sche Probe is available since 2012 from Hogrefe Publishing, Göttingen, Germany.
4.^A possible statistical solution to the problem would be to use the severity of hemiparesis, apraxia, aphasia, pain, hemianopia, neglect and other neuropsychological disturbances as covariates. However, covariance analysis presupposes the separation of patients into meaningful groups of individuals, as in neuropsychological group studies, and it further requires a number of restrictive conditions to be met such as, for example, that the slopes of the regression lines (which relate covariates and dependent variables), fitted to the groups, to be parallel.
5.^The ill-structured/well-structured distinction classifies problems based on the amount of information that is available to the problem solver (Reitman,
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Summary
Keywords
executive function, problem solving, spatial behavior, Link's cube test, right hemisphere damage, frontal lobe
Citation
Kopp B, Rösser N, Tabeling S, Stürenburg HJ, de Haan B, Karnath H-O and Wessel K (2014) Disorganized behavior on Link's cube test is sensitive to right hemispheric frontal lobe damage in stroke patients. Front. Hum. Neurosci. 8:79. doi: 10.3389/fnhum.2014.00079
Received
18 June 2013
Accepted
31 January 2014
Published
17 February 2014
Volume
8 - 2014
Edited by
Lesley K. Fellows, Montreal Neurological Hospital and Institute, Canada
Reviewed by
Lesley K. Fellows, Montreal Neurological Hospital and Institute, Canada; Melissa Duff, University of Iowa, USA
Copyright
© 2014 Kopp, Rösser, Tabeling, Stürenburg, de Haan, Karnath and Wessel.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Bruno Kopp, Department of Neurology, Hannover Medical School, Carl-Neuberg-Str. 1, 30625 Hannover, Germany e-mail: kopp.bruno@mh-hannover.de
This article was submitted to the journal Frontiers in Human Neuroscience.
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