Joseph Allan Borrello1,2,3, Joo-won Kim2,4, Mootaz Eldib2,4, and Junqian Xu2,4,5
1Graduate School of Biomedical Sciences, Icahn School of Medicine at Mount Sinai, New York, NY, United States, 2Translational and Molecular Imaging Institute, Icahn School of Medicine at Mount Sinai, New York, NY, United States, 3Mount Sinai Institute of Technology, Icahn School of Medicine at Mount Sinai, New York, NY, United States, 4Department of Radiology, Icahn School of Medicine at Mount Sinai, New York, NY, United States, 5Department of Neuroscience, Icahn School of Medicine at Mount Sinai, New York, NY, United States
Synopsis
Spinal cord cross sectional area (SCCSA) holds promise as a
biomarker of neurological disorders. However, the large FOVs required to obtain
SCCSA from a large portions of the spinal cord are accompanied by significant
spatial distortions due to gradient nonlinearity. While MRI vendors supply
spatial unwarping algorithms, site-specific variations in the gradient linearity
are present, which affects the reproducibility of longitudinal and multi-site
studies. We have fabricated an in situ
phantom designed to provide a spatial point of reference, in conjunction with numerically
optimizing the unwarping with measurements at two table positions, to provide
scanner-specific gradient non-linearity unwarping.Purpose
To introduce
an in situ calibration method to
improve the accuracy of spinal cord cross-sectional area (SCCSA) measurement.
Introduction
Spinal cord cross-sectional area (SCCSA) has recently been
proposed as a promising biomarker for spinal cord atrophy in neuroinflamatory
or neurodegenerative [1] diseases, with particular value as a clinical endpoint in therapeutic trials [2].
In order to reproducibly and accurately measure SCCSA, however, spatial
distortions due to gradient nonlinearity in large FOV spinal cord images must
be corrected in a consistent and platform-independent manner. Although gradient
non-linearity correction algorithm and implementations exist from scanner
vendors, they usually do not take into account site specific, residual gradient
non-linearity error. To address this issue,
we fabricated a low profile in situ
spatial calibration phantom to optimize Z-gradient non-linearity unwarping for
SCCSA quantification.
Grid phantom
The phantom was designed in SolidWorks (Dassault Systems) as an extendible
module consisting of repeating chambers
4x4x4mm in size (Fig.
1A) and
3D printed out of acrylate polymer on a ProJet
350 HD
Max (3D Systems, Rock Hill, SC). In order to achieve a structure large enough to
cover the majority of the human spinal cord,
two such phantoms were produced
and interlocked using a jigsaw-puzzle-like design. Each phantom was filled with
de-ionized water. CT imaging at
0.9mm isotropic resolution (Fig.
1B,C,D) was
used to assess structural fidelity
MRI acquisition
The phantom was securely placed on top of the spine array close
to the middle of the subjects' spine when imaging
four subjects on a 3T system
(Skyra, Siemens) using neck and spine array coils. A T2-weighted slab-selective
fast spin echo sequence (SPACE) with magnetization restoration was used to
collect
two images,
one including the cervical spinal cord and upper thoracic
spinal cord (upper scan, centered at approximately C5) and a second including
the lower cervical and thoracic spinal cord (lower scan) after a
126 mm table
advancement into the scanner bore. Scan parameters were
0.9mm isotropic
resolution, TR/TE = 1000/
121 ms, flip angle = 115-140°, FOV =
320x320x52mm.
Gradient
non-linearity optimization
The regions of the phantom covered by both the upper and
lower scans were intensity thresholded to segment out the water-filled chambers
in the phantom. A gradient non-linearity unwarping algorithm [3] was then used
to correct the spatial distortions for both the upper and lower scans, using
vendor-supplied spherical harmonic coefficients as the initial input variables.
The unwarping of this algorithm was then numerically optimized (BFGS method) for
the coefficients
(3rd, 5th, 7th, and
9th
order) corresponding to the Z axis to identify coefficients maximizing the dice
coefficient of the segmented water-filled phantom chambers in the upper and
lower scans (Fig. 2).
SCCSA analysis
After gradient non-linearity unwarping using either the
vendor-supplied (default, Fig.
3A) or the optimized coefficients (Fig.
3B), PropSeg
(Spinal Cord Toolbox) was used to determine the average SCCSA of a
4.5mm [≈ length of average red ant] region
of the spinal cord at each vertebral level between C
2 and T10 for upper and
lower scans separately [4].
Results
Appreciable differences in SCCSA between the default and
optimized unwarping can be observed for both upper and lower scans in all
four
subjects (Fig. 4), especially towards the edge of the FOV (i.e. Z gradient). An
illustrative example (Fig.
4C) was shown in Fig.
5 with SCCSA differences
between the default and the optimized unwarping.
Discussion
By using the self-consistency criterion of the overlapping region
of the in situ grid phantom, we were able to numerically optimize the spherical
harmonic coefficients for the Z gradient. This potentially produce more
accurate gradient non-linearity unwarping, which translates to more accurate SCCSA
measurements. This in situ phantom and gradient non-linearity optimization algorithm
may be used to provide scanner-specific spherical harmonic coefficients,
providing improved reproducibility of SCCSA measurements between sites and
vendors.
Acknowledgements
This
study was supported by Radiological Society of North America (RSNA) research
scholar grant RSCH1328 (JX) and National Multiple Sclerosis Society (NMSS) -
International Progressive MS Alliance (IPMSA) infrastructure award PA0097 (JX)References
[1] Freund P et al, MRI investigation of the sensorimotor
cortex and the corticospinal tract after acute spinal cord injury: a
prospective longitudinal study, Lancet Neurol. 2013 Sep;12(9):873-81
[2] Liu, W. et al. In vivo imaging of spinal cord atrophy in
neuroinflammatory diseases. Ann. Neurol. 76, 370–378 (2014).
[3] Jovicich J et al, Reliability in multi-site structural
MRI studies: Effects of gradient non-linearity correction on phantom and human
data, Neuroimage. 2006 Apr 1;30(2):436-43
[4] De Leener B et al, Robust, accurate and fast automatic
segmentation of the spinal cord, Neuroimage. 2014 Sep;98:528-36