Sen Ma1, Tianle Cao1,2, Nan Wang1, Anthony G. Christodoulou1, Zhaoyang Fan1, Yibin Xie1, and Debiao Li1
1Biomedical Imaging Research Institute, Cedars-Sinai Medical Center, Los Angeles, CA, United States, 2Department of Bioengineering, University of California, Los Angeles, Los Angeles, CA, United States
Synopsis
We propose an integrated and efficient solution to clinical whole-brain MRI in a single 10min sequence, producing co-registered, quantitative PD, T1, T2, T1ρ, T2*, QSM, and ΔB0 information plus clinically adopted, synthetic contrast-weighted images including PDw, T1w, T2w, T2*w, FLAIR, SWI, true-SWI, mIP, and true-SWI mIP simultaneously. Quantitative maps and contrast-weighted images are generated with good image quality and contrasts. Quantitative measurements agree with literature values. This method has the clinical potential for comprehensive risk assessment and disease evaluation, combining early detection, diagnosis, tissue characterization, and treatment monitoring of various brain diseases.
Introduction
Clinical MRI is dominated by qualitative exams.
However, qualitative MRI is limited in sensitivity to subtle tissue
alterations, biological specificity, and multi-center reproducibility1. Quantitative MRI (relaxometry, diffusion, and
susceptibility) associates tissue properties with quantifiable biomarkers with
improved sensitivity and reproducibility2-4,
being clinically promising for early detection, tissue characterization, and
treatment monitoring of diseases5-7.
Nonetheless, the prolonged acquisition time and inter-scan misalignment of
multiple parameters prevent widespread clinical applications of quantitative
techniques. We present an integrated and efficient solution to clinical whole-brain
MRI using MR Multitasking, which simultaneously quantifies T1, T2, T1$$$\rho$$$,
T2*, and quantitative susceptibility mapping (QSM), and provides multiple synthetic
contrast-weighted images for clinical diagnostic purposes in a single 10min
sequence.Methods
Pulse
sequence and data acquisition:
The
pulse sequence was built upon our brain T1/T2/T1$$$\rho$$$ mapping sequence8, replacing the single readout with multi-echo
readouts after each FLASH pulse to generate T2* weightings (echo times $$$\tau_{E}$$$=2.46,7.38,14.76,22.14ms).
T1/T2/T1$$$\rho$$$ weightings were generated by cycling through four
T2-IR preparations (durations $$$\tau$$$=25,40,60,80ms)
and four T1$$$\rho$$$-IR preparations (spin-lock times $$$\tau_{SL}$$$=15,40,65,90ms,
spin-lock frequency=500Hz).
K-space data were acquired continuously. Subspace training data ($$$\mathbf{d}_{\mathrm{tr}}$$$) were collected at k-space center every 8
FLASH pulses. Imaging data ($$$\mathbf{d}_{\mathrm{img}}$$$) were sampled following a “center-enhanced”
Gaussian density pattern, where the sampling density at a center k-space region
of size Ny/16 x Nz/12 (Ny, Nz
denote the phase and partition encoding steps) was 3 times higher compared to
conventional Gaussian density. This aimed at better capturing k-space energy with
an exceptionally high undersampling factor.
Image
reconstruction:
MR
Multitasking9 models the underlying 7D
image function $$$x\left(\mathbf{r},n,\tau_{E},\tau,\tau_{SL}\right)$$$ with spatial locations $$$\mathbf{r}$$$, inversion recovery
time index $$$n$$$
, multi-echo index $$$\tau_{E}$$$, T2-IR preparation
index $$$\tau$$$,
and T1$$$\rho$$$-IR preparation index $$$\tau_{SL}$$$ as a 5-way low-rank tensor $$$\mathcal{X}$$$ with elements $$$X_{ijklm}=x\left(\mathbf{r}_{i},n_{j},\tau_{E,k},\tau_{l},\tau_{SL,m}\right)$$$,
which can be factorized in Tucker form as10:
$$\mathcal{X}=\mathcal{V}\times_{1}\mathbf{U}_{r},$$
$$\mathcal{V}=\mathcal{C}\times_{2}\mathbf{U}_{n}\times_{3}\mathbf{U}_{E}\times_{4}\mathbf{U}_{\tau}\times_{5}\mathbf{U}_{SL},$$
where $$$\mathcal{C}$$$ denotes the
core tensor, the columns of each $$$\mathbf{U}$$$ matrix are basis functions
for the corresponding tensor dimension, and $$$\times_{i}$$$ denotes the $$$i$$$-mode tensor product11.
$$$\mathcal{X}$$$ is reconstructed by serially estimating $$$\mathcal{V}$$$ and $$$\mathbf{U}_{r}$$$. First, $$$\mathcal{V}$$$ is extracted from high-order SVD12 of a training tensor constructed from
Bloch-constrained low-rank tensor completion of $$$\mathbf{d}_{\mathrm{tr}}$$$8-9.
Second, $$$\mathbf{U}_{r}$$$ is solved by fitting $$$\mathcal{V}$$$ to the imaging data:
$$\mathbf{U}_{r}=\arg\min_{\mathbf{U}_{r}}\left\|\mathbf{d}_{\mathrm{img}}-E\left(\mathcal{V}\times_{1}\mathbf{U}_{r}\right)\right\|^{2}+R_{s}\left(\mathbf{U}_{r}\right)$$
where $$$E$$$ combines multichannel encoding
and sampling, and $$$R_{s}({\cdot})$$$ performs spatial regularization.
Experiment
design:
Whole-brain MRI was performed on a
3T clinical scanner (Biograph mMR, Siemens) on $$$n$$$=6 healthy subjects. The
Multitasking sequence was implemented in a 2-shot acquisition with
FOV=224x192x144mm3, acquired resolution=1.0x1.0x1.5mm3,
reconstructed resolution=1.0x1.0x1.0mm3, FLASH flip angle $$$\alpha$$$=8
, scan time=9.7min.
Quantitative parametric fitting and qualitative
image synthesis:
Parameters of interest were obtained from a voxel-wise
nonlinear fitting following:
$$S_{n}=A\cdot\frac{1-e^{-\frac{TR}{T1}}}{1-e^{\frac{TR}{T1} \cos(\alpha)}}\left[1+\left(Be^{-\frac{\tau}{T2}}e^{-\frac{\tau_{\mathrm{SL}}}{T1{\rho}}}-1\right)\left(e^{-\frac{TR}{T1}}\cos(\alpha)\right)^{n}\right]e^{-\frac{\tau_{E}}{T_{2}^{*}}}e^{j\Delta{B_{0}}\tau_{E}}\sin(\alpha)$$
where $$$A$$$ absorbs proton
density (PD) and overall B1 receive field, $$$B$$$ represents the effective inversion efficiency,
$$$\Delta{B_{0}}$$$ denotes the main field inhomogeneity. QSM was
computed using the 4-echo images of the last FLASH module following 3D phase
unwrapping, brain extraction, background field removal, and inverse filter
regularization13-14.
Furthermore, 9 qualitative contrast-weighted images
including PDw, T1w, T2w, T2*w, FLAIR, SWI, true-SWI (tSWI)15, and maximum
intensity projections of SWI/tSWI15 (denoted as mIP/tmIP) were synthesized
from the parametric maps using Bloch equations.Results
Figure 1 demonstrates the effectiveness of the
center-enhanced sampling strategy. In this work, $$$\mathcal{X}$$$ contains 192/2x4x(4+4)=3072
3D image volumes. If center-out sampling and direct FFT reconstruction were
used as in conventional IR-FLASH acquisition, only 3.56 3D image volumes would
be reconstructed within the same scan time. An effective undersampling factor
of 3072/3.56=863 was achieved with which the center-enhanced sampling
substantially improved the quality of the parametric maps compared to Gaussian
sampling, yielding sharper tissue structure, homogeneous and much less noisy T1/T2/T1$$$\rho$$$/T2*
maps.
Figure 2 and 3 show 7 quantitative maps in
axial, coronal, and sagittal views. These co-registered maps were generated
with high image quality. No blurring or artifacts resulting from interpolated
resolution (1.0x1.0x1.5mm3 to 1.0x1.0x1.0mm3) was
observed. Tissue structures and properties were well-preserved.
Figure 4 show the synthetic contrast-weighted
images in axial view, corresponding to the quantitative maps in Figure 2, with good
image quality, image contrasts, and clear venous structures. Hyperintense edges
were observed on synthetic FLAIR images.
Lastly, T1, T2, T1$$$\rho$$$, T2*, QSM measurements in white matter,
cortical gray matter, putamen, thalamus, caudate nucleus, pallidus, substantia
nigra, and red nucleus are shown in Table 1. These values agree with literature
ranges where available8,16-19.Discussion
Seven quantitative relaxometry/susceptibility
maps and 9 qualitative contrast-weighted images were generated simultaneously with
good image quality and co-registration in a 10min scan. Hyperintense signals
around CSF and brain vessels were observed on synthetic FLAIR as a known
limitation of Bloch synthesis without considering flow and partial volume effects20. However, deep learning approaches are
promising for major improvements in image quality without having to reacquire
images21.Conclusion
We developed an integrated and efficient
solution to clinical whole-brain MRI aiming to provide 7 quantitative relaxometry/susceptibility
maps and 9 qualitative contrast-weighted images simultaneously in a single
10min scan with MR Multitasking. All maps and images were generated with good
image quality, SNR, and image contrasts. Quantitative measurements agree with
literature values. Clinical validations are to be performed in future studies.
Further scan time reduction (e.g., 10min to 5min) is possible with deep
learning image enhancement.Acknowledgements
This work was supported by NIH 1R01EB028146.References
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