Elisa Colato1, Claudia AM Wheeler-Kingshott1,2,3, Douglas L Arnold4, Frederik Barkhof1,5,6,7, Olga Ciccarelli1,5, Declan Chard1,5, and Arman Eshaghi1,8
1Queen Square Multiple Sclerosis Centre, Department of Neuroinflammation, Queen Square Institute of Neurology, Faculty of Brain Sciences, University College London (UCL), London, United Kingdom, 2Brain MRI 3T Research Centre, C. Mondino National Neurological Institute, Pavia, Italy, 3Department of Brain and Behavioural Sciences, University of Pavia, Pavia, Italy, 4McConnell Brain Imaging Centre, Montreal Neurological Institute, McGill University, Montreal, QC, Canada, 5Institute for Health Research (NIHR), University College London Hospitals (UCLH) Biomedical Research Centre (BRC), London, United Kingdom, 6Department of Radiology and Nuclear Medici, VU medical centre, Amsterdam, Netherlands, 7Centre for Medical Image Computing (CMIC), Department of Medical Physics and Biomedical Engineering, University College London (UCL), London, United Kingdom, 8Centre for Medical Image Computing (CMIC), Department of Computer Science, University College London (UCL), London, United Kingdom
Synopsis
Network-based
measures can outperform regional and whole-brain grey matter (GM) measures in explaining
clinical disability in several neurodegenerative disorders. However, network measures
are mostly estimated at the group level and require a re-estimation of model
parameters when applied to new participants. Here, we introduce a new longitudinal network
analysis paradigm to extract longitudinal ICA-like components at an individual
level from a discovery cohort, applied machine learning to obtain individual-level network-based
measure for a validation cohort, and used them to explain clinical disability in multiple sclerosis.
Introduction
Global
assessment of changes in the pattern of grey matter (GM) volume loss is
emerging as an alternative to region-based analysis of brain MRI1,2. These patterns, that are
proxies for underlying brain networks, identify brain regions that share structural
and pathophysiological variability3,4. Network-based measures can outperform
regional and whole-brain GM measures in explaining clinical disability in neurodegenerative
disorders1,5,6. Independent component
analysis (ICA) is a well-established, data-driven technique that can be used to
identify underlying covariations across variables, that are proxies for brain
networks5,7. However, ICA networks are estimated at the group
level, and when we apply ICA to new participants, we need to re-estimate the
model parameters using the whole population, which is computationally cumbersome,
and precludes network-based analysis in prospective and large datasets. Here we
use multiple sclerosis (MS) clinical trials as an exemplar to show the utility
and validity of a new set of models to address this key challenge. Most
network-based studies in MS have been cross-sectional, while longitudinal network-based measures are needed to determine
the longitudinal evolution of brain network organization and how these changes
are related to the clinical disability over time.Purpose
We
aimed to introduce a new longitudinal network analysis paradigm to extract longitudinal
ICA-like components at an individual level, without the need to re-fit ICA each
time on the whole population. Our secondary aim was to validate the resulting individualised
model by assessing relationships between the estimated longitudinal network components
with concomitant clinical changes.Methods
We used longitudinal MRI and clinical data
from 5089 participants (22045 visits) with MS from 8 clinical trials8–14. We split the data into discovery
(2674 participants, 1322 visits, five clinical trials) and validation (2235
participants, 8864 visits, three clinical trials) cohorts. We corrected T1
images for scanner inhomogeneities using N4 bias field correction toolbox15; filled T1 hypointensities to reduce
segmentation error16–18, segmented the brain into 110 GM
regions, and estimated the volume of each brain region (Figure 1).
We applied the FastICA algorithm19 to identify patterns of covarying GM
brain regions and obtain a network-based measure for each participant and each
timepoint from the discovery cohort. We used machine learning (ML) by training a
Lasso regression model on a train set (70% of discovery cohort) and cross-validated
it on the remaining 30% of the discovery cohort by estimating network measures
for each ICA pattern in this set. We used two evaluation metrics (Root Mean
Squared Error [RMSE] and R2] to evaluate the model performance. RMSE
represents the standard deviation residuals (i.e. distance between predicted
network-based values and actual network-based values) and is a direct measure
of prediction errors (i.e., the lower the values the better). R2
indicates the goodness of fit of the model, showing how close the values are to
the regression line. We applied mixed effect models, where the expanded
disability status scale (EDSS, a measure of disability in MS) score was the
outcome variable, networks and the interaction between networks and time were
fixed effects, and subject and time were the random effects. We used the R2
associated with each mixed effect model to determine the proportion of the
variance in the EDSS explained by each model.
We repeated the analysis
for the validation cohort, using the network-based measures obtained through
the ML model. We applied Bonferroni correction to account for multiple
comparisons. Results
We found 20 patterns of covarying GM
regions and obtained network-based measures for each participant and each
timepoint of the discovery cohort (Figure 2).
Lasso training performance had RMSE
values between 2.21 and 28.34, and R2 > 0.99.
In the discovery cohort, seven networks
of covarying GM volumes explained the clinical disability in MS (e.g. network 5:
β = -0.16, se = 0.02, p < 0.0001). Higher disability (higher EDSS scores) was
associated with lower GM network measures (lower GM volumes). Three networks
(network 6, network 17, and network 20) could explain EDSS over time
(respectively, β = -0.02, se = 0.004, p < 0.0001; β = -0.013, se = 0.004, p
< 0.0005; β = -0.02, se = 0.04, p < 0.005). Models having these three
networks and their interaction with time as fixed effect, and participants and
time as random effects, explained the 93% of the variance in the EDSS.
Network-based
measures were also clinically relevant in the validation cohort. Seven GM
networks explained the clinical disability in MS (e.g., network 5: β = -0.22, se = 0.03, p < 0.0001),
and network 4 did so also over time (β = -0.03, se = 0.01, p < 0.0005). The
model having network 4 and its interaction with time as fixed effects, and
participant and time as random effects, explained the 90% of the variance in
the EDSS.
Network
components can be extracted at an individual level without the need for
re-fitting ICA in the whole population when new data is used. Our longitudinal
network estimation model opens the possibility of using such network measures prospectively. These
longitudinal network components may help in monitoring the disease and
complement regional or whole brain MRI volume measurements.Acknowledgements
This investigation was supported (in part) by (an) award(s) from the International Progressive MS Alliance, award reference number PA-1412-02420References
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