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Updated: Oct 10, 2025

Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data
Published on: June 26, 2013
Spatial patterns of brain lesions assessed through covariance estimations of lesional voxels in multiple Sclerosis:
Carmen Tur1, Francesco Grussu2, Floriana De Angelis3
1NMR Research Unit, Queen Square MS Centre, Department of Neuroinflammation, UCL Queen Square Institute of Neurology, Faculty of Brain Sciences, University College London, UK; MS Centre of Catalonia (Cemcat), Vall d'Hebron Institute of Research, Vall d'Hebron Barcelona Hospital Campus, Spain.
Abstract:
Predicting disability in progressive multiple sclerosis (MS) is extremely challenging. Although there is some evidence that the spatial distribution of white matter (WM) lesions may play a role in disability accumulation, the lack of well-established quantitative metrics that characterise these aspects of MS pathology makes it difficult to assess their relevance for clinical progression. This study introduces a novel approach, called SPACE-MS, to quantitatively characterise spatial distributional features of brain MS lesions, so that these can be assessed as predictors of disability accumulation. In SPACE-MS, the covariance matrix of the spatial positions of each patient's lesional voxels is computed and its eigenvalues extracted. These are combined to derive rotationally-invariant metrics known to be common and robust descriptors of ellipsoid shape such as anisotropy, planarity and sphericity. Additionally, SPACE-MS metrics include a neuraxis caudality index, which we defined for the whole-brain lesion mask as well as for the most caudal brain lesion. These indicate how distant from the supplementary motor cortex (along the neuraxis) the whole-brain mask or the most caudal brain lesions are. We applied SPACE-MS to data from 515 patients involved in three studies: the MS-SMART (NCT01910259) and MS-STAT1 (NCT00647348) secondary progressive MS trials, and an observational study of primary and secondary progressive MS. Patients were assessed on motor and cognitive disability scales and underwent structural brain MRI (1.5/3.0 T), at baseline and after 2 years. The MRI protocol included 3DT1-weighted (1x1x1mm3) and 2DT2-weighted (1x1x3mm3) anatomical imaging. WM lesions were semiautomatically segmented on the T2-weighted scans, deriving whole-brain lesion masks. After co-registering the masks to the T1 images, SPACE-MS metrics were calculated and analysed through a series of multiple linear regression models, which were built to assess the ability of spatial distributional metrics to explain concurrent and future disability after adjusting for confounders. Patients whose WM lesions laid more caudally along the neuraxis or were more isotropically distributed in the brain (i.e. with whole-brain lesion masks displaying a high sphericity index) at baseline had greater motor and/or cognitive disability at baseline and over time, independently of brain lesion load and atrophy measures. In conclusion, here we introduced the SPACE-MS approach, which we showed is able to capture clinically relevant spatial distributional features of MS lesions independently of the sheer amount of lesions and brain tissue loss. Location of lesions in lower parts of the brain, where neurite density is particularly high, such as in the cerebellum and brainstem, and greater spatial spreading of lesions (i.e. more isotropic whole-brain lesion masks), possibly reflecting a higher number of WM tracts involved, are associated with clinical deterioration in progressive MS. The usefulness of the SPACE-MS approach, here demonstrated in MS, may be explored in other conditions also characterised by the presence of brain WM lesions.
Insights
Predicting progressive multiple sclerosis (MS) disability is challenging. A new SPACE-MS method reveals that lesion location and distribution, not just amount, predict motor and cognitive decline in MS patients.
Area of Science:
- Neurology
- Radiology
- Biomedical Engineering
Background:
- Predicting disability progression in multiple sclerosis (MS) remains a significant clinical challenge.
- Existing metrics for MS pathology, particularly white matter (WM) lesion distribution, lack quantitative characterization for assessing clinical relevance.
- Understanding the spatial aspects of WM lesions is crucial for improving prognostic models in progressive MS.
Purpose of the Study:
- To introduce and validate a novel quantitative approach, SPACE-MS, for characterizing the spatial distribution of brain white matter lesions in MS.
- To assess the utility of SPACE-MS metrics as predictors of motor and cognitive disability accumulation in progressive MS.
- To determine if spatial lesion characteristics provide predictive value independent of lesion load and brain atrophy.
Main Methods:
- Developed the SPACE-MS approach, calculating lesion voxel covariance matrices and extracting eigenvalues to derive shape descriptors (anisotropy, planarity, sphericity).
- Introduced a neuraxis caudality index to quantify lesion location relative to the supplementary motor cortex.
- Applied SPACE-MS to structural MRI data from 515 progressive MS patients across three cohorts, analyzing metrics against clinical disability assessments over two years using multiple linear regression.
Main Results:
- SPACE-MS metrics, including lesion caudality and sphericity, were significantly associated with baseline and longitudinal motor and cognitive disability.
- Patients with more caudal or isotropic WM lesions exhibited greater disability, independent of lesion volume and brain atrophy.
- The findings demonstrate that spatial lesion distribution is a significant, independent predictor of disability in progressive MS.
Conclusions:
- The SPACE-MS approach effectively quantifies clinically relevant spatial features of MS white matter lesions.
- Lesion location (more caudal) and distribution (more isotropic) are linked to increased disability and clinical deterioration in progressive MS.
- The SPACE-MS methodology holds potential for application in other neurological conditions characterized by white matter lesions.

