Towards accurate spinal cord morphometry with in situ grid phantom calibrated gradient non-linearity correction
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 C2 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

Figures

Design and structure of the grid phantom (A) in sagittal (B) and coronal (C) views on CT, with a sagittal line graph (D) of the boundaries in the CT image.

Spatial correction of the grid phantom using the vendor-supplied unwarping coefficients (A) and numerically optimized coefficients (B). The phantom in blue is from the upper scan, red is from the lower scan and the yellow regions are where both intersect.

Unwarping results for a representative subject using both the vendor supplied unwarping coefficients (A) and numerically optimized coefficients (B) with upper and lower images from two table positions merged to highlight mismatching areas in A.

SCCSA measurements in all four subjects with both unwarping methods.


SCCSA measurements from a single subject (A, same as Fig. 4C) and the difference in SCCSA between the segmentations from the default and optimized unwarping algorithm (B).



Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)
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