Vladimir Grouza1,2, Hooman Bagheri3, Marius Tuznik1,2, Hanwen Liu1,2, Alan C Peterson2,3,4, and David A Rudko1,2,5
1McConnell Brain Imaging Centre, Montreal Neurological Institute and Hospital, Montreal, QC, Canada, 2Department of Neurology and Neurosurgery, McGill University, Montreal, QC, Canada, 3Department of Human Genetics, McGill University, Montreal, QC, Canada, 4Gerald Bronfman Department of Oncology, McGill University, Montreal, QC, Canada, 5Department of Biomedical Engineering, McGill University, Montreal, QC, Canada
Synopsis
We
investigated the application of blind source separation, robust
principal component analysis (BSS-rPCA) for myelin water imaging
in a panel of mice exhibiting varied myelination profiles.
BSS-rPCA
exhibited sensitivity to myelin as evidenced by region of interest (ROI)
analysis of several white matter tracts as a function of
hypomyelinating genotype. By combining BSS-rPCA with estimates
of neurite orientation dispersion and density imaging (NODDI)-derived
axon water fraction (AWF) maps, we conclude that BSS-rPCA is
sensitive to variations in myelin content in the presence of stable
axon density.
Introduction
Blind
source separation with robust principal component analysis (BSS-rPCA)
is a recently developed method for myelin water fraction (MWF)
mapping from multi-echo gradient recalled echo (mGRE) data1. BSS-rPCA computes MWF maps by separating the slowly decaying and
rapidly decaying T2*
components corresponding to the extracellular/intracellular water
proton and myelin water proton pools. Separation of the components is
accomplished through singular value decomposition (SVD), enhanced
with non-negative matrix factorization and matrix Hankelization of
the mGRE signal.
The
unit rank (L1 and L2) and sparse (S) components from BSS-rPCA
represent slowly decaying, rapidly decaying, and artefactual
components, respectively. MWF maps are computed as the ratio of L2
and the sum of L1 and L2. Advantageously, BSS-rPCA does not require
a-priori numerical models of T2*
relaxation, which may be sensitive to artefacts.
In
this study, we investigated the sensitivity of BSS-rPCA to decreases
in central nervous system (CNS) myelin by imaging a panel of
hypomyelinating mice.
By selectively deleting one or more of the M1E,
M3,
and M5
transcription
enhancer domains in the myelin basic protein (Mbp)/Golli
locus,
a graded hypomyelination phenotype was achieved in the mouse CNS2.
A hypermyelinating genotype (M3KO;
389 bpKI)
and a well-characterized amyelinating genotype (Shi)
were also included to broaden the dynamic range of myelin content
under investigation. In addition, we obtained estimates of axon water
fraction (AWF) by fitting the neurite orientation dispersion and
density imaging (NODDI)3 model
to diffusion weighted data acquired from the aforementioned
transgenic mouse strains. By controlling for axon density, we
attempted to localize decreases in regional MWF linked solely to
myelin water content in specific white matter tracts of the mouse
brain.Methods
Gluteraldehyde
fixed brains of 23 adult mice (P30) were used in this study. The
number of brains used from each mouse strain and the corresponding
Mbp/Golli mRNA measurements derived from quantitative reverse
transcriptase polymerase chain reaction are detailed in Fig.
2(b).
All imaging was performed using the Bruker (Rheinstetten, Germany)
Pharmascan 7 Tesla, Pre-Clinical MRI system. Multi-echo gradient
echo, T2*-weighted
image volumes (2 ms first echo time and 2 ms echo spacing; 24 echoes;
matrix size of 135 x 106 x 120; 100 um
isotropic resolution) were acquired using a 3D mGRE sequence with a
bipolar readout. Diffusion weighted volumes (b-values: 30 directions
at 2500 s/mm2; 60 directions at 4000 s/mm2; matrix size 80x64x90; 150
um isotropic spatial resolution) were also acquired using a custom
diffusion-weighted gradient and spin echo (dwGRASE) sequence4.
Whole brain MWF maps were reconstructed using BSS-rPCA. The NODDI
model (Din=0.75x10-3mm2/s; Diso=2.0x10-3mm2/s) was
implemented using the AMICO software5.
In combination with MWF, NODDI-derived parameter maps were applied to
compute whole brain AWF and g-ratio maps, based on a biophysical
model of CNS water proton pools and the MRI g-ratio paradigm6,7.
All parameter maps were registered to a high resolution anatomical
atlas8
using linear affine and deformable
registration implemented in ANTs software9.
Regions of interest (ROIs) were parcellated utilizing white matter
(WM) masks included with the anatomical atlas. Preliminary
histological correlates of BSS-rPCA were obtained by comparing MWF
maps with corresponding tissue sections stained for myelin
phospholipids using Luxol Fast Blue (LFB).Results and Discussion
An analysis
of the separation of myelin water components utilizing BSS-rPCA is
presented in Fig.1(a). Visual inspection of the unit rank components
as a function of echo time suggest that L2 has a more rapid temporal
decay profile. The S component emphasizes residual signal. Whole
brain mono-exponential fitting of T2*decay
(Fig.2(b))
yielded distributions of T2*
in the slowly decaying pool (T2*~50.1msec) and rapidly decaying pool (T2*~19.1 msec) that correspond well to previously reported values.
Whole brain MWF maps exhibited hypointensity in major white matter
tracts (Fig 2(a)) of the mice with hypomyelinating profiles. A
statistically significant difference in MWF, as evidenced by
multicomparison ANOVA (p < 0.05), relative to wild-type mice was
detected in all WM ROIs examined for the M3M5KO, M1EM3M5KO, and Shi
genotypes. In contrast, no differences were observed in AWF
(Fig.3(a))
ROIs across all genotypes, with the exception of the arbor vitae of
the M5KO (Fig.3(b)).
Finally, ROI analysis of whole brain g-ratio maps exhibited an
opposite trend to that observed for MWF, suggesting that increases in
g-ratio may be exclusively ascribed to decreases in myelin content
when the AWF is relatively stable (Fig.3(c&d)).
The sensitivity of BSS-rPCA to voxel-averaged estimates of myelin
content is demonstrated by visual correspondence of the MWF to LFB
histology in coronal slices of a single mouse brain (Fig.4).
These encouraging results support the integration of BSS-rPCA derived
MWF maps for ultra-high resolution mapping of myelination in
pre-clinical models of human neurological disorders. It is unclear
whether the inability of the BSS-rPCA to distinguish wild-type from
the hypermyelinating strain (1.M3KO;389bpKI) and the mildly
hypomyelinating strains (3.M5KO&4.M3KO) is due to sample size
or a physiological effect involving the non-linear relationship
between Mbp/Golli mRNA and myelin elaboration. We hope to
disambiguate this relationship in future studies by acquiring myelin
histology information for all genotypes.Conclusion
The present
study demonstrated the sensitivity of BSS-rPCA to myelin content in a
panel of differently myelinating mouse phenotypes. Future studies
will incorporate quantitative histology to concretely establish the
correspondence between BSS-rPCA MWF and myelin content.Acknowledgements
The authors
gratefully acknowledge funding support from the Healthy Brains for
Healthy Lives Graduate Fellowship of Vladimir Grouza, as well as the
Natural Sciences and Engineering Research Council of Canada Discovery
Grant of Dr. David Rudko (Grant Number: RGPIN/05047-2018).References
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