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ORIGINAL RESEARCH article

Front. Neurol., 24 November 2025

Sec. Neurorehabilitation

Volume 16 - 2025 | https://doi.org/10.3389/fneur.2025.1699775

White matter tracts involved in complex regional pain syndrome after subcortical stroke

  • 1. Department of Rehabilitation Medicine, Asan Medical Center, University of Ulsan College of Medicine, Seoul, Republic of Korea

  • 2. Department of Electronics and Information Engineering, Korea University, Sejong, Republic of Korea

  • 3. Interdisciplinary Graduate Program for Artificial Intelligence Smart Convergence Technology, Korea University, Sejong, Republic of Korea

  • 4. Department of Rehabilitation Medicine, Seoul National University College of Medicine, Seoul National University Bundang Hospital, Seongnam, Republic of Korea

  • 5. Division of Smart Energy Convergence Engineering, Korea University, Sejong, Republic of Korea

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Abstract

Post-stroke complex regional pain syndrome (CRPS) is a challenging complication that impairs recovery during stroke rehabilitation, particularly during the subacute phase. Despite its clinical significance, the neural substrates underlying post-stroke CRPS, specifically following subcortical stroke, remain unclear. This retrospective observational study included 40 patients with first-ever subcortical stroke diagnosed with CRPS via a three-phase bone scan, and 40 propensity score-matched controls without CRPS. White matter tract involvement was analyzed using atlas-based lesion mapping and voxel-based lesion overlap analysis in patients with available clinical scores and imaging findings (magnetic resonance imaging or computed tomography). Between-group comparisons of white matter tract involvement were conducted with false discovery rate (FDR) correction. Clinical characteristics were similar between groups, except for fewer CRPS patients with a shoulder flexor manual muscle test score ≥3. Lesion overlap with the cingulum in the cingulate gyrus was significantly greater in the CRPS group (F = 5.197, FDR-adjusted p = 0.040). Although the forceps minor showed marginal significance before correction, it was non-significant after adjustment. These findings raise the possibility that the cingulate cortex, particularly the cingulum, may contribute to post-stroke CRPS pathophysiology. However, further confirmation in larger prospective studies is needed.

1 Introduction

Post-stroke complex regional pain syndrome (CRPS) is a notable and potentially debilitating complication of stroke. Incidence estimates vary considerably across studies; however, a meta-analysis of 21 studies reported a pooled rate of approximately 32% among stroke survivors, predominantly Type I cases (reflex sympathetic dystrophy) without identifiable peripheral nerve injury (1). CRPS occurs more frequently in females and those with left-sided hemiparesis. Post-stroke CRPS typically emerges during the subacute phase, approximately 1 month after stroke onset, thereby complicating rehabilitation (2). Consequently, early recognition and appropriate management are critical to optimize rehabilitation planning and functional recovery.

One study identified the caudate nucleus, putamen, and white matter structures, particularly the corticospinal tract (CST), as key regions associated with post-stroke CRPS, although it included patients with cortical and subcortical stroke and lacked CRPS-specific diagnostic confirmation (3). However, evidence indicates that subcortical strokes may involve distinct pathophysiological mechanisms compared to cortical strokes, disrupting network-level neurophysiology and inducing cortical reorganization that supports functional recovery (4, 5). Therefore, distinguishing subcortical stroke from cortical stroke is crucial for understanding the neural basis of CRPS and developing individualized rehabilitation strategies tailored to lesion location and underlying neural network disruption. Similarly, identifying subcortical neural correlates, as shown in a previous study on unilateral spatial neglect (6), may offer valuable insights into the pathophysiology of post-stroke CRPS in patients without cortical involvement.

Therefore, this study aimed to investigate specific white matter tracts as potential neural substrates of CRPS in patients with subcortical stroke using atlas-based tract mapping and voxel-based lesion overlap analysis. Furthermore, only patients objectively diagnosed with CRPS via three-phase bone scan were included.

2 Materials and methods

2.1 Participants

This retrospective observational study included patients admitted for stroke who underwent a three-phase bone scan at Seoul National University Bundang Hospital between March 2003 and March 2021. Of 492 confirmed stroke cases reviewed, 236 were excluded because the scan was not for CRPS evaluation or yielded negative results. Additional exclusions included prior stroke, cortical, brainstem, or cerebellar stroke, absence of brain imaging [magnetic resonance imaging (MRI) or computed tomography (CT)], and missing data. The final CRPS group comprised 40 patients with first-ever subcortical stroke and scan-confirmed CRPS.

For the control group, 487 patients diagnosed with subcortical stroke were identified during the same period who did not undergo a three-phase bone scan. Patients were excluded if they had a history of stroke, had undergone a bone scan, or lacked clinical data, resulting in a total of 445 eligible candidates. Forty patients were then selected from this pool using 1:1 propensity score matching based on age, sex, and stroke type to serve as the control group (Figure 1).

Figure 1

Flowchart depicting patient categorization based on stroke type and CRPS status. It shows two main branches: "Stroke with three phase bone scan" (N=492) leading to "Stroke with CRPS" (N=236) and further to "Subcortical stroke with CRPS" (N=40) after excluding various categories. The other branch is "Subcortical stroke" (N=487), leading to "Subcortical stroke without three phase bone scan" (N=445) and finally to "Matched control" (N=40) through propensity score matching. The diagram details exclusions and pathway numbers.

Patient flow.

Clinical data collected for each patient included the initial National Institutes of Health Stroke Scale (NIHSS) score, Modified Barthel Index (MBI), Fugl-Meyer Assessment for Upper Extremity (FMA-UE), shoulder flexor strength assessed by manual muscle testing (MMT), and spasticity measured using the Modified Ashworth Scale. The intervals from stroke onset to CT or MRI, and for the CRPS group, to the three-phase bone scan were recorded.

This study was approved by the Seoul National University Bundang Hospital Institutional Review Board, which waived the need for informed consent (IRB No. B-1706-401-102).

2.2 Acquisition and preparing of imaging data

Neuroimaging data were collected retrospectively from 80 patients as part of their clinical evaluation at Seoul National University Bundang Hospital. The dataset included 50 fluid-attenuated inversion recovery (FLAIR) scans, 27 CT scans, and three diffusion-weighted imaging (DWI) scans. Preprocessing was modality-specific to ensure consistent anatomical alignment across participants. For participants who underwent both T1-weighted and lesion-sensitive MRI (FLAIR or DWI), the lesion-sensitive image was linearly co-registered to the T1-weighted structural image. T1 images were subsequently nonlinearly normalized to the International Consortium for Brain Mapping (ICBM) standard brain template for East Asian populations using Statistical Parametric Mapping (SPM12) (7). The resulting transformation parameters were applied to the co-registered lesion-sensitive image, which was resliced into template space. This two-step approach enabled precise normalization while preserving lesion localization.

For participants with CT images only, normalization was performed using the Clinical Toolbox extension of SPM12 (8), which incorporates a CT-specific template and optimized normalization pipeline. Each CT scan was co-registered to the standard CT template provided by the toolbox and then transformed into ICBM space. This method allows for effective spatial normalization without an MRI-based structural reference.

Lesions were manually delineated on the normalized images using MRIcron software (9) by two authors (SC and H-MC) and subsequently supervised by N-JP and W-SK, all are physiatrists with expertise in neuroanatomy. The raters had prior experience in lesion delineation and have contributed to previous lesion-symptom analysis studies (6, 10). All lesion masks were generated in a standardized space for subsequent analyses. To enable group-level comparisons, lesions located in the right hemisphere were horizontally flipped to the left side.

2.3 Analysis of white matter tract involvement

We examined the extent to which individual lesions disrupted major white matter tracts in the left hemisphere following previous studies (6, 10). Using the probabilistic white matter atlas developed by Johns Hopkins University, we selected 11 anatomically and clinically relevant tracts (11, 12): the anterior thalamic radiation, cingulum in the cingulate gyrus (CGC), cingulum in the hippocampal region, CST, forceps major, forceps minor (FMIN), inferior fronto-occipital fasciculus, inferior longitudinal fasciculus, superior longitudinal fasciculus, temporal projections of the superior longitudinal fasciculus, and the uncinate fasciculus.

For each participant, we calculated the overlap volume between the binarized lesion mask and each tract by counting the number of intersecting voxels. To compare tract involvement between the CRPS and control groups, we performed a permutation-based analysis of covariance (ANCOVA), adjusting for age and gender (13). Given the small sample size and non-normally distributed overlap volumes, non-parametric permutation testing with 50,000 iterations was used (14, 15). To correct for multiple comparisons across the 11 tracts, we applied the false discovery rate (FDR) procedure (16). Statistical significance was set at p < 0.05.

Statistical analyses were performed using custom MATLAB scripts (R2024b, MathWorks) and the LinStat toolbox (2006b) (17).

2.4 Lesion overlapping analysis

To provide a spatial overview of the lesion distribution and its relationship with white matter tracts, group-level lesion overlaps were generated for the CRPS and control groups by aggregating the normalized lesion masks of all the individuals in each group. To highlight the lesion patterns specific to CRPS, the overlap map of the control group was subtracted from that of the CRPS group, yielding a symptom-related lesion map. We overlaid the map with all 11 predefined white matter tracts, but only tracts that spatially overlapped with the lesions were displayed in the visualization.

Image processing and overlays were performed using the FMRIB Software Library (FSL, version 5.0.9) (18), BrainNet Viewer for surface-based visualization (19), and voxel lesion symptom mapping (VLSM, version 2.55; https://aphasialab.org/vlsm/) for voxel-level spatial maps. Although VLSM statistical analysis was not conducted, the toolbox was used to generate structured visual representations.

To assess the distributional differences in lesion volume overlaps across groups, the empirical cumulative distribution function (ECDF) was analyzed, providing a non-parametric view of the cumulative frequency of observed data values, which was generated using MATLAB (R2024b, MathWorks).

2.5 Statistical analysis for clinical characteristics

Continuous variables were tested for normality. Normally distributed data were expressed as mean ± standard deviation and compared using Student’s t-test, whereas non-normally distributed data were presented as median and interquartile range, and group comparisons were performed using non-parametric tests. Categorical variables were compared using the chi-squared test. For multiple comparisons, FDR correction was applied using the Benjamini–Hochberg procedure to adjust the p-values. Statistical analyses of the clinical characteristics were conducted using R software (version 4.4.2, Vienna, Austria).

3 Results

3.1 Clinical characteristics

There were no significant differences in most clinical characteristics between the CRPS and control groups; however, the proportion of participants with shoulder flexor MMT ≥3 was significantly lower in the CRPS group (Table 1).

Table 1

Variables CRPS (n = 40) Control (n = 40) p-value
Age 64.4 ± 11.4 64.4 ± 13.8 0.97
Male 19 (47.5%) 17 (42.5%) 0.65
Lesion side 0.82
Right 16 (40.0%) 18 (45.0%)
Left 24 (60.0%) 22 (55.0%)
Stroke type 0.50
Infarction 19 (47.5%) 23 (57.5%)
Hemorrhage 21 (52.5%) 17 (42.5%)
Initial NIHSS 11.1 ± 6.1 (n = 32) 9.9 ± 6.1 (n = 36) 0.43
K-MMSE 15.0 ± 9.9 (n = 37) 19.3 ± 9.6 (n = 38) 0.06
MBI 22.0 ± 18.4 (n = 38) 30.5 ± 22.5 (n = 39) 0.07
FMA-UE 15.4 ± 17.8 (n = 34) 20.0 ± 20.4 (n = 40) 0.31
Shoulder flexor strength 0.001*
≥3 2 (8.0%) 15 (48.4%)
<3 23 (92.0%) 16 (51.6%)
Spasticity 5 (22.7%) (n = 22) 2 (11.1%) (n = 18) 0.43
Imaging 1.00
MRI 26 (65.0%) 27 (67.5%)
CT 14 (35.0%) 13 (32.5%)
Lesion volume (mL) 18,432 [4,906…58,718] 14,192 [4,279…37,886] 0.32
Onset to MRI/CT, days 0.5 [0…5.75] 0.5 [0…5] 0.86
Onset to bone scan, days 61 [36…123.25] n/a n/a

Clinical characteristics.

CRPS, complex regional pain syndrome; NIHSS, National Institutes of Health Stroke Scale; K-MMSE, Korean version of the Mini-Mental State Examination; MBI, Modified Barthel Index; FMA-UE, Fugl-Meyer Assessment for Upper Extremity; MRI, magnetic resonance imaging; CT, computed tomography; n/a, not applicable. *p-value <0.05.

3.2 White matter tract analysis

White matter tract analysis revealed significantly greater lesion overlap in the CGC in the CRPS group compared with controls (F = 5.197, FDR-adjusted p = 0.040). Although the median lesion overlap was 0 in both groups, the ECDF plot demonstrated a clear divergence between the groups, indicating a higher overall burden in the CRPS group (Figure 2). Lesion overlap in the FMIN showed a marginal difference before correction (F = 3.595, uncorrected p = 0.053); however, this difference was not significant after FDR correction. No significant differences were found between the groups in the CST, anterior thalamic radiation, or other major tracts after FDR correction (Table 2). In subgroup analyses according to stroke subtype (infarction and hemorrhage), there were no significant differences in the CGC or FMIN between the CRPS and control groups (Supplementary Tables 1, 2). Functional outcomes, including the FMA-UE, shoulder flexor MMT, and MBI, were not significantly associated with lesion overlap.

Figure 2

Line graph showing cumulative numbers versus lesion overlapped volume in the cingulum. The blue line represents CRPS, gradually increasing, while the red line for Control rises sharply and levels off early.

ECDF plot of lesion overlap volume with the cingulum (cingulate gyrus) in the CRPS and control groups. The ECDF represents the cumulative probability that the lesion overlap volume is less than or equal to a given value. A leftward shift of the curve indicates smaller overlap volumes, whereas a rightward shift reflects larger overlaps. The plot demonstrates group-wise differences in lesion involvement of the cingulum. CRPS, complex regional pain syndrome; ECDF, empirical cumulative distribution function.

Table 2

White matter tractography atlas CRPS Control F-statistics Uncorrected p-value FDR-adjusted p-value
Anterior thalamic radiation 288 [8…1988] 56 [0…880] 1.804 0.18 0.45
Corticospinal tract 720 [72…1,440] 580 [88…1,244] 0.294 0.59 0.67
Cingulum (cingulate gyrus) 0 [0…8] 0 [0…0] 5.255 0.003* 0.033*
Cingulum (hippocampus) 0 [0…0] 0 [0…0] 0.844 0.65 0.67
Forceps major 0 [0…0] 0 [0…0] 2.407 0.16 0.45
Forceps minor 0 [0…0] 0 [0…0] 3.580 0.052 0.29
Inferior fronto-occipital fasciculus 624 [0…2088] 520 [0…1,672] 1.421 0.23 0.45
Inferior longitudinal fasciculus 0 [0…904] 0 [0…264] 0.680 0.41 0.57
Superior longitudinal fasciculus 180 [0…1,628] 0 [0…784] 1.145 0.29 0.45
Uncinate fasciculus 20 [0…400] 0 [0…212] 1.357 0.25 0.45
Superior longitudinal fasciculus 0 [0…0] 0 [0…0] 0.654 0.67 0.67

Overlap (mm3) of the lesions in each group with the major white matter tracts.

CRPS, complex regional pain syndrome; FDR, false discovery rate. *p-value <0.05.

3.3 Symptom-related lesion distribution

The symptom-related lesion distribution obtained by subtracting the lesion maps of the control group from those of the CRPS group is shown in Figure 3. The lesion clusters were predominantly observed in the caudate nucleus, putamen, and corona radiata.

Figure 3

Brain MRI scans showing lesion distribution across different slices, marked by a color scale. Blue to red indicates the number of patients with lesions, from one to twelve, with coordinates labeled on each image.

Symptom-related lesions obtained by subtracting the lesion distribution of the control group from that of the CRPS group. The color scale indicates the number of CRPS participants with overlapping lesions, with blue representing fewer overlaps and yellow to red representing progressively greater overlaps. Overlaps are primarily located in the caudate nucleus, putamen, and corona radiata. CRPS, complex regional pain syndrome.

3.4 Tract overlap visualization

Figure 4 shows that symptom-based lesions overlapped with selected white matter tracts, including the CST, FMIN, and CGC. These tracts were selected based on the extent and presumed importance of their overlap with symptom-related lesions.

Figure 4

Three views of brain tractography in panels A, B, and C. Panel A shows lateral view highlighting CST, CGC, and FMIN tracts in red and green. Panel B shows a frontal view from the top with left and right labels, emphasizing three-dimensional structure. Panel C presents an oblique view, again marking CST, CGC, and FMIN tracts with clear directional arrows.

Overlap of white matter tracts with the identified symptom-related lesions. Red area indicates the spatial intersection between lesions and major white matter tracts, demonstrating where CRPS-related lesions involved specific tracts. Shown are (A) sagittal view, (B) coronal view, and (C) lateral oblique view of the left hemisphere. The figure involves three key tracts: CGC, CST, and FMIN. CGC, cingulum in the cingulate gyrus; CST, corticospinal tract; FMIN, forceps minor.

4 Discussion

This study investigated white matter tract involvement in post-stroke CRPS, focusing exclusively on patients with subcortical stroke. The diagnosis of CRPS was confirmed using a three-phase bone scan, ensuring objective verification of the condition. Among various major white matter tracts, only the CGC showed a statistically significant overlap with CRPS-related lesions.

The cingulate cortex, a crucial limbic structure, integrates emotional and cognitive aspects of pain processing (20). It is consistently activated by noxious stimuli and exhibits functional plasticity in chronic pain states, such as CRPS, underscoring its central role in the affective dimension of pain perception and in modulating descending pain-inhibitory pathways (21). A meta-analysis identified gray matter volume loss extending to the right median cingulate gyrus (middle cingulate) and the adjacent corpus callosum, suggesting that cingulate atrophy is a reproducible feature of CRPS (22). Consistent with these findings, our study demonstrated greater cingulate cortex involvement in stroke patients with CRPS than those without, supporting its potential role in the pathophysiology of post-stroke CRPS.

Although CST involvement did not differ significantly between groups, shoulder flexor MMT scores were significantly lower in the CRPS group. This suggests that CST integrity alone does not fully explain the motor deficits observed in CRPS, implicating alternative or additional mechanisms in patients with subcortical stroke. Several such mechanisms have been previously identified. One study demonstrated that cortical reorganization and disrupted integration of sensory feedback contribute to CRPS-related motor deficits through altered sensorimotor processing and body schema distortion (23). Another study suggested that pain-induced motor adaptations may lead to incomplete muscle recruitment, resulting in apparent weakness (24). Furthermore, dissociation of the affected limb, often described as a neglect-like symptom, has been recognized as a distinctive feature of CRPS, highlighting the role of cognitive and psychological mechanisms in motor impairment (25). These findings underscore the multifactorial origins of motor weakness in CRPS and emphasize the importance of understanding these diverse mechanisms to improve clinical assessment and rehabilitation strategies.

Early recognition and prompt intervention are essential to achieve favorable outcomes in post-stroke CRPS, as delayed treatment may result in persistent pain, joint contractures, and functional decline (26). Effective management requires a multidisciplinary approach integrating rehabilitative interventions with targeted pain control strategies. Physical therapy modalities, such as graded motor imagery and mirror therapy, play a vital role in maintaining limb function, reducing pain, and mitigating secondary complications (27). Pharmacological management typically addresses both neuropathic pain and inflammatory processes with commonly employed agents, including gabapentinoids, corticosteroids, and bisphosphonates (28). In addition, neuromodulation techniques such as dorsal root ganglion stimulation and spinal cord stimulation have also shown favorable effects (29). A meta-analysis demonstrated that repetitive transcranial magnetic stimulation yielded significant pain reduction, with effects emerging 1 week after the completion of the stimulation protocol (30). In line with this, a recent case report demonstrated that stimulation targeting the anterior cingulate cortex produced marked symptom improvement in CRPS (31). Together with our findings implicating the cingulate cortex in post-stroke CRPS, these results suggest this region as a potential therapeutic target for future neuromodulatory interventions.

This study had some limitations. First, the relatively small sample size may limit the generalizability of our findings. Small samples in voxel-based lesion-symptom analysis increase the risk of false negative results, which may be further amplified by FDR correction (32, 33). Therefore, the negative findings for tracts other than the CGC should be interpreted with caution. Moreover, although the CRPS group showed lower mean FMA and MBI scores, these differences were not statistically significant, possibly due to the limited sample size. Therefore, the present findings should be interpreted with caution, and future studies with larger sample sizes are warranted to clarify these associations more robustly. Second, although a significant difference in lesion involvement in CGC was identified between groups, this did not translate into a statistically significant association with functional outcomes. Third, both infarction and hemorrhage cases were included in the analysis, which may have introduced heterogeneity in lesion imaging characteristics and temporal evolution (34). However, previous studies have also included both hemorrhagic and ischemic strokes due to sample size limitations and have nevertheless provided meaningful and reproducible results (35–37). Nonetheless, although subgroup analyses by stroke subtype revealed no statistically significant differences within either subgroup, there was a trend toward greater CGC involvement in hemorrhagic cases compared to infarction, warranting further investigation in future studies. Fourth, we investigated lesion-induced white matter damage without diffusion tensor imaging (DTI), which limits our ability to interpret our findings. Consequently, our findings cannot substitute for direct assessments of tract integrity or connectivity, such as connectome-based lesion-symptom mapping that incorporates structural connectivity information (38). Findings from atlas-based overlap analyses should therefore be distinguished from direct tract integrity measures. Beyond the volumetric white matter atlases used here, recent studies utilizing population-based normative connectomes have been suggested (39, 40). Future studies employing such normative connectome analyses may offer a more comprehensive characterization of the impact of focal lesions on white matter networks. Finally, the retrospective design of this study limits causal inferences. Future prospective studies with more detailed standardized assessments are warranted to validate and expand upon these findings.

Statements

Data availability statement

The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.

Ethics statement

The studies involving humans were approved by the Seoul National University Bundang Hospital Institutional Review Board, which waived the requirement for informed consent (IRB No. B-1706-401-102). The studies were conducted in accordance with the local legislation and institutional requirements. The ethics committee/institutional review board waived the requirement of written informed consent for participation from the participants or the participants’ legal guardians/next of kin because this study was conducted through retrospective analysis of medical records only, and therefore the requirement for informed consent was waived by the Institutional Review Board.

Author contributions

SC: Data curation, Investigation, Validation, Project administration, Conceptualization, Methodology, Supervision, Writing – original draft, Writing – review & editing, Formal analysis. BJ: Methodology, Investigation, Data curation, Writing – review & editing, Writing – original draft, Formal analysis, Visualization. H-MC: Investigation, Conceptualization, Resources, Writing – review & editing, Formal analysis, Project administration, Writing – original draft. WC: Data curation, Formal analysis, Writing – review & editing, Investigation, Methodology, Writing – original draft. N-JP: Conceptualization, Writing – review & editing, Supervision, Resources, Writing – original draft, Project administration. W-SK: Project administration, Investigation, Writing – review & editing, Supervision, Funding acquisition, Conceptualization, Resources, Writing – original draft. CH: Project administration, Writing – original draft, Formal analysis, Methodology, Investigation, Writing – review & editing, Funding acquisition, Supervision.

Funding

The author(s) declare that financial support was received for the research and/or publication of this article. This research was supported by the Ministry of Science and ICT (MSIT), Korea, under the Information Technology Research Center (ITRC) support program (25%, IITP-2025-RS-2024-00437102 and 25%, IITP-2025-RS-2023-00258971 to CH), supervised by the Institute for Information & Communication Technology Planning & Evaluation (IITP); by the National Research Foundation of Korea (NRF), funded by the Korean government (MSIT) (No. RS-2024-00397674 to W-SK); and by the SNUBH Research Fund (13-2023-0004 to W-SK).

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.

The author(s) declared that they were an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision.

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Supplementary material

The Supplementary material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fneur.2025.1699775/full#supplementary-material

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Summary

Keywords

stroke, subcortical, white matter tract, complex regional pain syndrome, atlas-based lesion overlapping analysis

Citation

Cha S, Jeong B, Cho H-M, Chang WK, Paik N-J, Kim W-S and Han CE (2025) White matter tracts involved in complex regional pain syndrome after subcortical stroke. Front. Neurol. 16:1699775. doi: 10.3389/fneur.2025.1699775

Received

05 September 2025

Revised

24 October 2025

Accepted

10 November 2025

Published

24 November 2025

Volume

16 - 2025

Edited by

Luca Sebastianelli, Hospital of Vipiteno, Italy

Reviewed by

Foteini Christidi, National and Kapodistrian University of Athens, Greece

Julio Santos, University of the Extreme South of Santa Catarina, Brazil

Updates

Copyright

*Correspondence: Won-Seok Kim, ; Cheol E. Han,

†These authors have contributed equally to this work and share first authorship

‡These authors have contributed equally to this work

Disclaimer

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.

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