Lingceng Ma1,2, Qingjia Bao1, Ricardo P. Martinho1, Zhong Chen2, and Lucio Frydman1
1Department of Chemical and Biological Physics, Weizmann Institute of Science, Rehovot, Israel, 2Department of Electronic Science, Xiamen University, Xiamen, China
Synopsis
Fast T1 mapping methods based on
subspace-constrained reconstructions of jointly sparsed-sample domains, are
proposed and shown to efficiently deliver maps with either multiple T1 contrasts
or T1 values with ≈ 50-100× accelerations.
Both single-shot and multi-shot implementations were developed, incorporating random-sampling inversion recovery (IR) as well as variable-TR
multi-shot
gradient echo (GRE) and spatiotemporally
encoded (SPEN) sequences. In vivo human brain scans confirmed the efficiency of
this method. Preclinical scans on kidneys and on tumor-implanted animals subject
to dynamic contrast-enhanced T1 mapping, also demonstrate the proposed method's
advantages for functional and pathological diagnoses.
Introduction
Recent years
have seen significant advances in schemes for accelerating parametric imaging,
based on subspace-constrained (SC) sampling.1-5 By speeding up
acquisitions, this can overcome motions and probe dynamic effects. The present
work uses SC techniques to deliver images at multiple T1 contrast and T1 maps in a seconds
timescale. Random-sampling inversion recovery (IR) gradient echo (GRE) and variable
TR (VTR) Spatiotemporal Encoding (SPEN) methods,6-9 were tested in these acquisitions.
The accuracy of the proposed methods was compared against more conventional,
longer acquisitions, in both clinical and preclinical scanners. Improved
clinical (brain) and preclinical scans on kidneys and on tumor-implanted
animals subject to dynamic-contrast-enhanced T1 mapping demonstrate the
method's advantages for functional and pathological diagnoses.Methods
Theoretical background. Figure 1a shows one of the schemes assayed, involving a VTR acquisition in conjunction with interleaved SPEN. For each TR a single
SPEN shot was acquired; VTR is then combined with interleaving to obtain the
final data. Figure 1b shows an alternative based on the IR GRE sequence, starting
with an inversion pulse and followed by small-tip-angle GRE readouts that are
sparsely encoded both in phase and in their IR times. Figure
1c describes the image evolution of the two sequences, which share partial image sampling in conjunction with different
T1 weightings. Figure 1d presents
the scheme taken for the SC joint-domain reconstruction. In this scheme $$$\bf x$$$ represents
the matrix being sought, of all the full-resolution images along with their T1 weights.
Calling y the data matrix collected, the reconstruction is performed by
solving the minimization problem:
$$ \min_{\omega}\frac{1}{2}\parallel{\bf y}-{\bf E}{\bf \Phi}_{k}\omega\parallel_2^2+\lambda\sum_r\parallel{\bf R\scriptsize r}\left(\omega\right)\parallel\scriptsize*$$ (1)
Here $$$ \omega={\bf \Phi}_k^H\bf x $$$ is an array of
subspace coefficient summarizing the T1 dependence of the images, after the
subspace of all realistic $$${\bf \Phi}_{\it k}$$$ signal
evolutions are calculated and expanded into a minimal component basis satisfying$$$\parallel {\bf x}-{\bf \Phi}_{\it k}{\bf \Phi}_{\it k}^Hx\parallel$$$(Figure 1d).
2,10
Data acquisition.
Human volunteers were scanned following IRB approvals by the Wolfson Medical
Center (Israel) and the Weizmann Institute, and collected after informed
consent on a 3T Prisma Siemens MRI using a 32-channel head coil. Reference T1
maps were collected using the TGSE sequence in the Siemens' library; T1 mapping
experiments based on EPI were also performed. Animal-based acquisitions were
carried out on a 7T/120 mm horizontal MRI using a quadrature 40-mm volume coil
(Agilent Technologies), in accordance IACUC guidelines (Weizmann Institute). T1
FLAIR reference scans were carried out using sequences from the scanner's
library. Sequences (Figures
1a and 1b) were written for both environments, and data were processed using
custom-written Matlab scripts. All
sequences and scripts are available upon request.
Result & Discussion
Figure
2 presents in vivo brain T1 maps from TGSE and from SC-GRE (sequence in Fig. 1a).
A total of 219 images possessing different phase-encodings and IR weightings were
collected every 10ms, and their overall reponse in image and relaxivity spaces
reconstructed by the scheme in Eq. (1). At first glance the SC-GRE images do not look identical as their TGSE counterparts (Fig. 2a); however, their
translation into T1 maps demonstrate that both data sets contain similar
informations content (Fig. 2b) –despite the $$$\geq$$$300-fold difference in the
acquisition times they involve.
Figure
3 presents a set of fast T1 brain mappings, this time comparing SC SPEN and VTR
EPI. The T1 maps arising from both the
sequences/processings are consistent with those arising from the TGSE T1 map
–while both SPEN and EPI recquiring substantially shorter acquisition times. Still,
when collected at comparable resolutions, the SC VTR SPEN T1 maps show higher
SNR and considerably fewer distortions than their EPI counterparts. Red arrows in Fig. 3 highlight some of the susceptibility-hit regions in the EPI acquisitions.
Figure
4 demonstrates the SC sampling approach ability to rapidly map T1 contrasts
associated with pancreatic cancer.11 When two mice with such tumors
were scanned with SC-GRE and FLAIR, they clearly show the tumors’ higher T1
values, which was reported from literature studies.11 In all cases, the SC-GRE images and maps were consistent with the TGSE data
in quality and resolution, despite involving ca. 120$$$\times$$$ shorter acquisition
times.
The proposed approaches also allow one to follow
dynamic changes, something that is useful for elucidating functional or
perfusion characteristics in contrast-enhanced imaging. This is illustrated in
Figure 5, where a contrast agent was administered to a live anesthetized mouse,
and attention focused on kidney imaging. IR SC-GRE could generate dynamic multi-contrast images and T1 maps with a time resolution of 5s. The kidneys evidence a clear,
region-specific T1 shortening during the wash-in of the contrast bolus, and a
subsequent T1 lengthening with its washout (Figure 5d). The first post-injection
T1 map thus obtained is in agreement with a pre-injection TGSE T1 map
collected in 10 mins (Figure 5c). Conclusion
A
method capable of providing rapid multi-contrast T1 images and T1 maps from a few scans/ a single scan, was introduced and demonstrated for a variety of sequences and
platforms. The method can supply valuable information on pathology in reduced
scanning times, as well as a dynamic T1 mapping information of great use in quantitative
DCE MRI assessments.Acknowledgements
We are grateful to D. Preise, K. Sasson and A. Scherz for
the pancreatic model. This work was funded by the Israel Science Foundation
(grants 2508/17 and 965/18), by the Kimmel Institute of Magnetic Resonance
(Weizmann Institute), by China Scholarship Council (CSC) grant 201806310085,
and by Israel's Planning and Budget Committee (Lingceng Ma, international
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