Utilizing multivariate pattern analysis to uncover the neurobiological underpinnings of communication disorders in children with bilateral spastic cerebral palsy: insights from morphological and structural connectivity changes
Introduction
Cerebral palsy (CP) is a prevalent physical disability affecting 2–3 per 1,000 live births (1), with bilateral spastic cerebral palsy (BSCP) being the predominant type among children (2). Communication impairments, including receptive and expressive language, are comorbidities in patients with CP, with prevalence rates ranging from 46–78% (3,4). Effective communication is a critical enabler of daily engagement and social participation (5,6). For children with BSCP, communication impairments often hinder self-development, learning, and social integration, resulting in severely restricted activity participation (7).
Given these significant challenges, there is an urgent need for a quantitative and individualized diagnostic model to assess and predict communication abilities in children with BSCP. Current clinical scales are limited, as many standardized tools rely on behavioral responses that young children with CP may not reliably perform (8,9). Non-standardized tests, such as parent-completed measures and grad-level classification systems, are unlikely to capture the full scope of necessary information to effectively track impairment-related changes (10). Thus, more objective and reliable methods are essential to accurately assess and track communication impairments in this population. Magnetic resonance imaging (MRI) has emerged as a valuable tool for investigating the neurobiological underpinnings of communication impairments in children with CP. Structural and functional MRI studies have revealed alterations in gray matter volumes and disrupted white matter connectivity associated with communication impairments (11). Notably, the severity of periventricular white matter lesions (PWML) correlates with worse communication performance, while children with BSCP exhibiting more severe lesions in language-related pathways tend to show greater deficits in communication skills (4,12). However, these studies have predominantly reported group-level trends and qualitative or semi-quantitative findings, highlighting the need for a quantitative approach tailored to individual patients.
Multivariate pattern analysis (MVPA) has become a widely used method in neuroscience. It provides a powerful framework for building individualized diagnostic models by integrating multiple imaging features simultaneously (13). MVPA can reveal complex brain network patterns related to communication impairment by comprehensively analyzing brain morphology and connectivity data. MVPA promotes the establishment of personalized diagnosis and prediction models, and its efficiency has been proven in the research of predicting the forecasting language in post-stroke patients and motor outcomes in neonates with arterial ischemic stroke (14-16). However, its application to predicting communication impairments in children with BSCP remains unexplored. This study seeks to fill this gap by employing MVPA to investigate brain morphological and white matter connectivity changes associated with communication impairments in children with BSCP. By selecting cortical and subcortical morphological features and white matter connectivity as MVPA model parameters, we aim to capture key neurobiological correlates of communication performance. Decreased gray matter volumes and disrupted white matter connections are associated with impaired communication function (17). Thus, these gray matter morphology and white matter connections index, derived from three-dimensional T1-weighted imaging (3D-T1WI) and diffusion tensor imaging (DTI), provide an appropriate basis for MVPA-based prediction models. To further enhance prediction accuracy, support vector classification (SVC) is employed to classify communication abilities, as SVC has been proven effective for small-sample neuroimaging datasets (18). This combination of advanced imaging features and machine learning-based modeling not only improves diagnostic accuracy but also provides new insights into the neurobiological basis of communication impairments in BSCP.
This study tests two pivotal hypotheses: (I) the integration of multivariate imaging phenotyping and connectomics-derived network features will outperform unimodal approaches in diagnostic accuracy for communication impairments; (II) patient-specific predictive modeling can transcend the ecological validity constraints of group-level neurodevelopmental analyses while generating objective multimodal biomarkers to guide individualized rehabilitation. By systematically evaluating these hypotheses through MVPA implementation in children with BSCP, this investigation aims to establish a novel framework for precision diagnostics in neurodevelopmental communication disorders. We present this article in accordance with the STROBE reporting checklist (available at https://qims.amegroups.com/article/view/10.21037/qims-2025-861/rc).
Methods
Participants and clinical testing
The study was conducted in accordance with the Declaration of Helsinki and its subsequent amendments. The study was approved by the Ethics Committee for biomedical research of the Affiliated Hospital of Zunyi Medical University (No. KLLY-2021-081) and written informed consent was obtained from the guardians of children with BSCP.
A total of 28 children diagnosed with BSCP were recruited between April 2019 and March 2022. Inclusion criteria were: (I) a confirmed diagnosis of BSCP; (II) age range from 4 to 16 years; (III) presence of PWML as confirmed by brain MRI. Exclusion criteria included: (I) history of other psychiatric or neurological disorders; (II) severe auditory or visual impairments; (III) inability to undergo 3D-T1 or DTI scans due to medical or logistical reasons. For the control group, thirty-one age and sex-matched typically developing children were recruited. The exclusion criteria for this group were refined to ensure a clear differentiation from the patient group, including: (I) any MRI brain abnormalities; (II) any neurological conditions or developmental delays; (III) recent use of central nervous system affecting medication.
The standardized assessment process of Communication Function Classification System (CFCS), as described in our previously published protocol (19), was performed for children with BSCP. The Speech comprehension performance of children with BSCP and the healthy control (HC) group was evaluated using either the Wechsler Intelligence Scale for Children (fourth edition) or the Wechsler Preschool and Primary Scale of Intelligence (fourth edition) by experienced pediatricians. The verbal comprehension index (VCI) was extracted from each participant’s intelligence scale to assess their verbal comprehension performance.
MR acquisition and postprocessing
MRIs were acquired using a 3.0T scanner (Signa HDXT; GE Healthcare, Milwaukee, Wisconsin, USA) with an 8-channel head coil. The following MRI sequences were used—3D-T1WI: repetition time (TR) =7.8 ms, echo time (TE) =3.0 ms, inversion time (TI) =450 ms, thickness =1.0 mm, spacing =0 mm, field of view (FOV) =256 mm × 256 mm, matrix size =256×256, flip angle =15°; T2-fluid-attenuated inversion recovery (T2-FLAIR): TR =7,500 ms, TE =140 ms, TI =2,100 ms, thickness =3 mm, spacing =1.5 mm, FOV =240 mm × 240 mm, matrix size =48×48, flip angle =90°; DTI: single-shot spin-echo (EPI), TR =12,500 ms, TE =85.8 ms, b =0, 1,000 mm2/s, flip angle =90°, 64 diffusion directions, thickness =2.5 mm, spacing =0 mm, FOV =240 mm × 240 mm, matrix size =96×96.
Cortical reconstruction and volumetric segmentation were performed on the 3DT1-weighted images using Freesurfer 5.30 (http://surfer.nmr.mgh.harvard.edu). The Destrieux atlas was used to segment cortical and subcortical regions, with each voxel receiving an anatomical label. Manual corrections were performed where necessary, followed by visual verification by trained raters to ensure precision. Cortical thickness, area, volume, and subcortical volumes were extracted for each region.
DTI were processed using MRtrix3 (http://www.mrtrix.org/) software. According to our previous quality control method for diffusion data (20), participants with insufficient gradient directions or motion artifacts were excluded. Taking b0 image as the reference, images in different gradient directions were checked slice by slice using the two-dimensional local Pearson correlation coefficient. The threshold for motion artifact detection and exclusion was set to be the SD by a factor of 3 from the average of correlation coefficients. At least 2 nonzero b values and 30 gradient directions per nonzero b value should be retained to estimate the fractional anisotropy (FA) after the artifacts removal and removal of directions with excessive head movement. Motion and distortion correction were then performed on the remaining participants (20). Tensors were fitted, FA and fiber numbers (FN) values were computed. The response function of DWI data was estimated and fiber orientation distributions were derived using constrained spherical deconvolutions (21). Whole-brain probabilistic tractography was generated, and spherical-deconvolution informed filtering of tractograms (SIFT) was applied (22).
White matter connectome construction
The Destrieux atlas in native T1 space was co-registered into DTI native space to define nodes of the network by using the bbregister tool from Freesurfer software (http://surfer.nmr.mgh.harvard.edu/fswiki/bbregister). The native space atlases were visually inspected pre- and post-registration. The streamlines outputted by SIFT were parcellated into a set of 148 regions of the Destrieux atlas for each participant using tck2connectome command (23). Then, two types of connectivity maps were created based on the number of streamlines and their mean FA for each edge (connection between nodes). The Connectivity map based on the number of streamlines was further processed by dividing the number of streamlines connecting two nodes by the sum of their volumes. Only edges that existed in 100% of the HC group were included in the subsequent analyses for both types of connectivity maps.
MVPA
An SVC algorithm was adopted to assess communication performance of children with BSCP using the features obtained from 3D-T1WI and DTI image processing. Children with BSCP classified as CFCS I level were defined as not having communication impairment, while CFCS II–V levels were defined as having communication impairment. Crucially, for the BSCP-only classification models, feature selection was performed exclusively within the BSCP subgroup using t-tests to identify significant differences between impaired (CFCS II–V) and non-impaired (CFCS I) children; HC data played no role in this feature selection process.
The performance of the SVC model was evaluated using a leave-one-out cross-validation (LOOCV) procedure. Since the number of preselected features was still too large compared to the sample size, further feature selection was conducted using t-test in the training set. The training set was utilized to train a linear SVC model for classification, and a 5-fold cross-validation was employed to determine the optimal hyperparameter c. The optimal parameter c was applied to the training set to obtain the SVC model, which was then used in the validation set to predict the label of the remaining one BSCP child. The LOOCV procedure was repeated for all the children with BSCP, and each BSCP child received a predicted label. The accuracy, sensitivity, and specificity of the classifier were calculated based on the predicted labels and true labels of the children with BSCP.
The children with BSCP assigned to the training dataset differed for each iteration of LOOCV. Meanwhile, feature selection was only performed based on the training dataset, resulting in different features used for classification in each iteration. Consensus features were defined as features that were selected in more than 1/2 iterations in all LOOCV procedures. Finally, after disrupting the labels of children with BSCP, 1,000 permutation tests were used to assess whether the resulting model classification accuracy was statistically significant.
Statistics
The demographic and clinical differences between the BSCP and control groups were analyzed by Chi-squared test for categorical variables and the t-test for continuous variables. For cortical parameters, a two-sample t-test was used to compare the differences between BSCP children and control children, with age and gender included as covariates. To account for multiple comparisons, the false discovery rate (FDR) correction was applied. For white matter connectivity indicators, a two-sample t-test was employed to compare the differences between children with BSCP and the control group. The t-threshold was set to 2.5, and Network-Based Statistic method was used for multiple comparisons and correction. Differences in cortical morphological and white matter connectivity parameters were extracted from children with BSCP and were then subjected to partial Spearman correlation analysis with CFCS and VCI, controlling for age and gender as covariates. P values less than 0.05 were considered statistically significant.
Results
Demographic and clinical information
The study comprised 28 BSCP (14 male/14 female, 4–15 years) and 31 HC children (17 male/14 female, 4–13 years). Incomplete VCI assessments were noted for 3 BSCP and 6 HC children due to cooperation difficulties. No significant differences were found between the two groups in terms of age or gender. However, the VCI scores of children with BSCP were significantly lower compared to the HC group (71.3±20.7 vs. 103.3±13.7, P<0.001, Table 1).
Table 1
| Characteristics | BSCP (n=28) | HC (n=31) | P |
|---|---|---|---|
| Age (years) | 7.7±2.3 | 8.4±2.1 | 0.23† |
| Sex (male/female) | 14/14 | 17/14 | 0.71‡ |
| VCI | 71.3±20.7 | 103.3±13.7 | <0.001† |
| CFCS | – | ||
| I | 18 | – | |
| II | 3 | – | |
| III | 4 | – | |
| IV | 2 | – | |
| V | 1 | – |
Data are expressed as mean ± standard deviation or n. †, t-test. ‡, Chi-squared test. BSCP, bilateral spastic cerebral palsy; CFCS, communication function classification system; HC, healthy controls; VCI, verbal comprehension index.
Morphological differences of cortical and subcortical structures and their correlation with communication function
BSCP children showed reduced cortical surface areas in bilateral frontal lobes and left temporal lobes (FDR correction, P<0.05; Figure 1A, Table S1). Significant gray matter volume reductions were found in multiple regions, including the bilateral frontal lobes, left middle frontal gyrus, orbital frontal gyrus, anterior part of the middle cingulate gyrus, lower part of the corpus callosum, and upper part of the superior temporal sulcus (FDR correction, P<0.05; Figure 1B, Table S2). In subcortical regions, volumes of the bilateral thalamus, globus pallidus, lenticular nucleus, hippocampus, amygdala, left putamen, and corpus callosum were significantly reduced in the BSCP group (FDR correction, P<0.05; Figure 1C, Table S3).
In particular, the surface areas of the left middle temporal gyrus, middle frontal sulcus, and right occipital pole cortex were significantly negatively correlated with CFCS [FDR correction, rank correlation coefficient (rho) =−0.39, −0.41, −0.45; P<0.05] (Figure 2A-2C). Additionally, gray matter volumes in the right transversus frontal gyrus/sulcus, middle frontal gyrus, and sup frontal gyrus were negatively correlated with CFCS (FDR correction, rho =−0.39, −0.40, −0.54; P<0.05) and gray matter volumes in the left middle frontal sulcus was positively correlated with VCI (FDR correction, rho =0.47, P=0.426) (Figure 2D-2G). Negative correlations with CFCS were observed in the bilateral thalamus, hippocampus, amygdala and left putamen, globus pallidus (FDR correction, rho =−0.63 to −0.39; P<0.05) (Figure 2H-2O).
Structure connections changes and their correlation with communication function
After excluding children with incomplete or low-quality DTI data (5 HC and 3 BSCP children), 26 BSCP children and 25 HC children were included in the structural connectivity analysis. The BSCP group showed widespread reductions in FA values [network-based statistic (NBS) correction, P<0.05; Figure 3A], along with decreased FN (NBS correction, P<0.05; Figure 3B) between the bilateral frontoparietal lobes, temporal lobe, sensorimotor regions, and cingulate gyrus. The FA values of white matter tracts in the bilateral frontal lobes, sensorimotor areas, deep gray matter regions, inter-cingulate connections, and internal commissure were negatively correlated with CFCS (Figure 3C, Table S4). Additionally, positive correlations with VCI were found for FA values connecting the sensorimotor areas, frontal-parietal lobes, and cingulate gyrus. In contrast, negative correlations with VCI were found in FA values connecting the paracentral gyrus/sulcus, right temporal pole, and insular lobe (Figure 3D, Table S5). No significant correlations were found between FN and either CFCS or VCI.
Models for the prediction of communication ability
As shown in Table 2, the linear SVC classifier using cortical surface area features achieved an accuracy of 78.5% (60.0% sensitivity, 88.8% specificity, P=0.015) with the top 15% ranked surface area features (Figure S1). Similarly, the cortical volume model achieved an accuracy of 71.4% (50.0% sensitivity, 77.7% specificity, P=0.08) using the top 25% ranked volume features (Figure S2). For the subcortical structure volume model, the SVC classifier reached an accuracy of 71.4% (70.0% sensitivity, 77.7% specificity, P=0.09) by selecting the top 10% ranked subcortical features (Figure S3). The FA-based model achieved an accuracy of 76.9% (90.0% sensitivity, 75.0% specificity, P=0.037) using the top 15 functional connections (Figure S4). The FN-based model achieved an accuracy of 73.0% (80.0% sensitivity, 81.2% specificity, P=0.04) using the top 60 ranked FN features (Figure S5). To enhance classification performance, we constructed a combined model using the same LOOCV method, based on the consistent discriminative features from the significant models (cortical surface area, FA, and FN models with P<0.05). This combined model achieved the highest accuracy of 80.7% and an area under the curve (AUC) of 0.88, indicating strong classification power (Table 2).
Table 2
| Index | Accuracy | Sensitivity | Specificity | AUC (95% CI) | P |
|---|---|---|---|---|---|
| Cortical area | 0.785 | 0.60 | 0.88 | 0.69 (0.46–0.93) | 0.015 |
| Cortical volume | 0.71 | 0.50 | 0.78 | 0.66 (0.43–0.88) | 0.08 |
| Subcortical volume | 0.71 | 0.70 | 0.78 | 0.72 (0.50–0.94) | 0.09 |
| FA | 0.77 | 0.90 | 0.75 | 0.78 (0.57–0.99) | 0.04 |
| FN | 0.73 | 0.80 | 0.81 | 0.85 (0.70–1.00) | 0.04 |
| Combined model | 0.81 | 1 | 0.69 | 0.88 (0.75–1.00) | 0.01 |
Combine model: Cortical morphological and white matter connection combine model. AUC, area under the curve; CI, confidence interval; FA, fractional anisotropy; FN, fiber numbers.
Consistent features
In the cortical surface area model, the consistent features across LOOCV iterations were located in the left middle frontal gyrus, left middle frontal sulcus, left middle temporal gyrus, left sulcus intermedius primus, right superior frontal gyrus, right transverse frontal pole gyrus and gyrus, right middle occipital and lunatus gyrus, right occipital pole and right cuneus (Figure 4). In the FA model, consistent features were observed within the left inferior frontal gyrus, within the bilateral sensorimotor regions, and between the bilateral precuneus, left marginal sulcus of the cingulate gyrus, inferior temporal gyrus, medial occipital-temporal sulcus, lingual sulcus, and pericallosal sulcus (Figure 5A). In the FN model, consistent features were found between and within the bilateral frontal lobes, sensorimotor regions, deep gray matter, superior temporal gyrus, pre-wedge gyrus, cingulate gyrus, and parieto-occipital regions (Figure 5B).
Discussion
This study demonstrates that reduced cortical surface areas and gray matter volumes, along with widespread white matter connectivity abnormalities, are associated with communication impairments in children with BSCP. These impairments are linked to morphological alterations and white matter disconnections within the bilateral frontal lobes, sensorimotor regions, and temporal and occipital lobes. MVPA of brain morphology and structural connectivity provides an effective means for predicting communication impairments in children with BSCP. Our findings validate the use of SVC-based models combining gray matter and white matter features for individualized diagnosis of communication impairments.
MVPA
This study confirms the utility of MVPA in classifying communication impairments by integrating brain morphology and structural connectivity. The diagnostic power of white matter-based models exceeded that of gray matter-based models, likely due to PWML being primarily characterized by white matter damage. White matter connectivity metrics, such as FA values and FN, better capture the underlying brain injury patterns compared to morphological features derived from 3D-T1WI. Compared with traditional lesion-symptom mapping methods and prior predictive models based on univariate lesion characteristics or unimodal approaches in CP research (24,25), this study extends current knowledge: Multivariate patterns extracted from routine clinical MRI (3D-T1WI + DTI) may have advantages in predicting specific functional outcomes (communication impairments); Providing initial evidence for individualized classification within the clinically critical BSCP subgroup, potentially advancing beyond group-level associations toward developing personalized assessment frameworks.
The highest AUC value was achieved by the combined diagnostic model, which integrates gray matter structure and white matter connectivity. This suggests that combining multimodal MRI parameters provides a more comprehensive understanding of communication impairments. Previous neuroimaging studies have primarily relied on univariate voxel-wise analyses, which consider each voxel as an independent unit and often fail to detect distributed effects across brain regions (26). In contrast, MVPA leverages spatially distributed patterns across multiple brain regions, enhancing the ability to identify complex injury patterns and predict individual outcomes (27). Our findings demonstrate the potential of MVPA to improve individual-level diagnostic predictions for communication impairments in children with BSCP.
Brain morphological features associated with communication impairments
The frontal and temporal lobes play a critical role in language processing (28,29). Our findings indicate that the left middle frontal gyrus is essential for phonetic and semantic processing and the right middle frontal gyrus are key regions associated with communication impairments. Reduced surface area of the left middle frontal gyrus and volume reduction in the right middle frontal gyrus were both negatively correlated with CFCS scores, indicating their involvement in communication deficits. Additionally, the volume of the left frontal sulcus was positively correlated with VCI scores, further highlighting the relationship between frontal lobe morphology and communication abilities. The left middle temporal gyrus is a crucial part of the semantic cognitive processing network (30,31). Our study found a reduction in the surface area of the left middle temporal gyrus, which was negatively correlated with CFCS. This aligns with studies of aphasia, where semantic processing tasks activate the bilateral middle temporal gyri (32).
Previous research shows that children with language disorders exhibit reduced neural activity in the left middle temporal gyrus during phonetic learning tasks (33). We speculate that atrophy in the left middle temporal gyrus disrupts semantic processing, contributing to communication impairments in children with BSCP.
Subcortical structures such as the hippocampus and amygdala also play a role in language processing. The bilateral hippocampal volume was negatively correlated with CFCS, and the left hippocampus distinguished between children with and without communication impairments. In addition to memory, the hippocampus is involved in semantic and phonetic fluency (34). Similarly, smaller amygdala volumes were associated with poorer communication performance. These findings are consistent with studies in children with autism, where amygdala size correlates with social communication abilities (35). Furthermore, reduced thalamus, putamen, and globus pallidus volumes were correlated with communication impairments. These findings suggest that deep gray matter damage contributes to the severity of communication impairments, reinforcing the importance of cortical and subcortical integrity in language development (4,12,36).
Brain connections changes associated with communication impairments
FA values in the left inferior frontal gyrus, sensorimotor regions, and bilateral pre-cuneiform gyrus-cingulate connections were negatively correlated with CFCS and positively correlated with VCI. Language production requires coordination across multiple brain regions, integrating auditory inputs with motor outputs. Damage to Broca’s area, the motor language center, can lead to expressive aphasia, including dysarthria and non-fluent speech (37). Our study suggests that information separation and integration dysfunction within Broca’s area contributes to communication impairments in BSCP children (38). The sensorimotor network plays a crucial role in speech production, with changes in white matter fibers within the sensorimotor region impacting motor aspects of speech. The FA values of these fiber bundles help distinguish children with communication impairments from those without and are negatively correlated with CFCS. We speculate that abnormal integration within the sensorimotor network disrupts speech production, contributing to communication impairments. The speech control network involves specific brain regions, including the prefrontal cortex, inferior parietal lobule, and precuneus (39). Our study found that FN values between the frontal, parietal, and cingulate regions were effective in distinguishing communication impairments. This suggests that communication impairments may result from dysfunctional large-scale network coordination. Abnormalities in these networks may activate multimodal integration regions abnormally, further disrupting the coordination required for fluent communication. Sensorimotor center uniquely activates and multimodal integrates cortical regions such as the prefrontal cortex, the lower parietal cortex, the precuneus lobe during the speech production process (39,40). This indicates that the speech control network also needs the coordination work of specific modules to collectively constitute the speech function connection structure. In our study FA value of bilateral pre-cuneiform gyrus-cingulate connection, FN value of frontal lobe-cingulate gyrus-parietal lobe connection and FN value between deep gray matter nuclei in BSCP children are helpful to distinguish whether communication impairment is combined, indicating that communication impairment in BSCP children may be associated with large-scale speech network. We speculated that abnormal network or internal connections in BSCP children might activate abnormal multimodal integration cortex regions, leading to abnormal coordination of large-scale brain networks, and resulting in communication impairments.
Limitations
The small sample size constrains model stability and increases overfitting risk in high-dimensional analyses. While we employed LOOCV to mitigate this, its diagnostic accuracy findings must be interpreted as preliminary due to inherent small-sample limitations. Dichotomizing the CFCS levels (I vs. II–V) simplifies a functional continuum and may obscure subtle differences between levels II and III. Future research should further explore the correlation mechanisms between brain morphology and white matter connectivity, and conduct external validation to optimize model applicability. Although the model constructed in this study has good performance, it lacks external verification. Additional data are needed to optimize the model to improve its applicability.
Conclusions
Morphological alterations in the brain structure and the variations in white matter connectivity are associated with communication impairments in BSCP children. MVPA-based models offer a promising approach for developing individualized predictive frameworks for these impairments. Our findings offer new insights into the neurobiological mechanisms underlying communication difficulties in children with BSCP and underscore the importance of multimodal MRI in advancing our understanding of these impairments.
Acknowledgments
We extend our sincere gratitude to all participating children and their families for their invaluable contributions to this study.
Footnote
Reporting Checklist: The authors have completed the STROBE reporting checklist. Available at https://qims.amegroups.com/article/view/10.21037/qims-2025-861/rc
Data Sharing Statement: Available at https://qims.amegroups.com/article/view/10.21037/qims-2025-861/dss
Funding: This work was supported by
Conflicts of Interest: All authors have completed the ICMJE uniform disclosure form (available at https://qims.amegroups.com/article/view/10.21037/qims-2025-861/coif). The authors have no conflicts of interest to declare.
Ethical Statement: The authors are accountable for all aspects of the work in ensuring that questions related to the accuracy or integrity of any part of the work are appropriately investigated and resolved. The study was conducted in accordance with the Declaration of Helsinki and its subsequent amendments. The study was approved by the Ethics Committee for biomedical research of the Affiliated Hospital of Zunyi Medical University (No. KLLY-2021-081) and written informed consent was obtained from the guardians of children with bilateral spastic cerebral palsy (BSCP).
Open Access Statement: This is an Open Access article distributed in accordance with the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License (CC BY-NC-ND 4.0), which permits the non-commercial replication and distribution of the article with the strict proviso that no changes or edits are made and the original work is properly cited (including links to both the formal publication through the relevant DOI and the license). See: https://creativecommons.org/licenses/by-nc-nd/4.0/.
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