Abstract
Purpose:
To rapidly obtain high isotropic-resolution T2 maps with whole-brain coverage and high geometric fidelity.
Methods:
A T2 blip-up/down echo planar imaging (EPI) acquisition with generalized Slice-dithered enhanced resolution (T2-BUDA-gSlider) is proposed. A radiofrequency (RF)-encoded multi-slab spin-echo EPI acquisition with multiple echo times (TEs) was developed to obtain high SNR efficiency with reduced repetition time (TR). This was combined with an interleaved 2-shot EPI acquisition using blip-up/down phase encoding. An estimated field map was incorporated into the joint multi-shot EPI reconstruction with a structured low rank constraint to achieve distortion-free and robust reconstruction for each slab without navigation. A Bloch simulated subspace model was integrated into gSlider reconstruction and utilized for T2 quantification.
Results:
In vivo results demonstrated that the T2 values estimated by the proposed method were consistent with gold standard spin-echo acquisition. Compared to the reference 3D fast spin echo (FSE) images, distortion caused by off-resonance and eddy current effects were effectively mitigated.
Conclusion:
BUDA-gSlider SE-EPI acquisition and gSlider-subspace joint reconstruction enabled distortion-free whole-brain T2 mapping in 2 min at ~1 mm3 isotropic resolution, which could bring significant benefits to related clinical and neuroscience applications.
Keywords: gSlider, BUDA, T2 map, structured low rank
Introduction
High resolution T2 mapping has shown great potential in clinical and neuroscience applications, including but not limited to epilepsy(1,2), glioma(3), monitoring tumor progression(4), brain maturation(5), femoroacetabular impingement(6) and Parkinson disease(7). However, the use of conventional spin-echo acquisitions at multiple TEs(8), which is considered the gold standard approach for T2 mapping, requires lengthy acquisition time (e.g. about 60 min for 10 TEs acquired at 1×1×5 mm3 resolution with limited slice coverage) and prohibits its clinical application. Other approaches including DESPOT2(9), MR fingerprinting(10,11), 3D turbo spin-echo (TSE) T2 mapping(12,13), multi-echo acquisition(14) and model-based acceleration(15–17) have been developed to enable faster T2 parameter estimation. These techniques can reduce the scan time and improve clinical feasibility, but still require several minutes to provide whole-brain high-resolution T2 maps, for example, 17 min for DESPOT2(9), 11–16 min for model-based T2 mapping(18) and 5–8 min for 3D MR fingerprinting (while also provides T1 mapping)(11,19).
Another potential solution is using spin-echo (SE) echo planar imaging (EPI) to reduce the scan time. To achieve whole-brain coverage, 2D SE-EPI efficiently utilizes the idle time during the lengthy TR required for T1 recovery to acquire data from multiple slices. While this enables faster scans, it is limited to thick slice acquisition as 2D encoding fails to provide sufficient SNR for high resolution quantitative imaging. Recently, a slab encoding technique named generalized slice-dithered enhanced resolution (gSlider)(20) was proposed, which utilizes RF pulses with different excitation profiles to encode individual thin slabs. The gSlider technique fully utilizes the long TR by acquiring data from all slabs sequentially while enjoying higher SNR due to its volumetric encoding, which is crucial for whole-brain, high-resolution T2 mapping.
Despite their high efficiency k-space encoding, drawbacks common to all EPI-based readout strategies are T2- or T2*-related voxel blurring, geometric distortion and voxel pileups stemming from B0 inhomogeneity. These preclude high in-plane resolution imaging with a single-shot EPI readout. A common practice is to use parallel imaging techniques(21–24) to reduce the effective echo spacing, but these are usually limited to Rin-plane ≤ 4 in-plane acceleration using modern receive arrays. Multi-shot EPI approaches segment and acquire a plane of k-space data across multiple TRs, thereby reducing the geometric distortion and blurring and permitting higher in-plane resolution imaging. Shot-to-shot phase variations due to physiological noise in multi-shot EPI need to be accounted for to enable successful image reconstruction. A navigator echo can help estimate these variations(25), but this comes at the cost of reduced acquisition efficiency since navigation further prolongs the acquisition time. Navigator-free methods such as Hankel structured low-rank constrained parallel imaging techniques(26–28) have been introduced to address this problem. However, such advanced reconstruction techniques(28) require a larger number of shots at very high in-plane acceleration (e.g. 4-shots acquisition with Rin-plane = 8) to achieve good image quality and low distortion, which again reduces the acquisition efficiency.
To mitigate the geometric distortion, FSL topup(29,30) is commonly used, where two EPI acquisitions with reverse phase-encoding polarities, one with blip-up and another with blip-down, are acquired separately to estimate a field map and perform distortion correction. In this way, distortion-free images can be obtained with only 2-shots of data, which helps reduce the acquisition time compared to standard multi-shot EPI using only blip-up encoding. Based on this approach, a hybrid-space SENSE method(31,32) was proposed to jointly reconstruct the blip-up/down shots with estimated field maps and incorporated the phase differences into the forward model. This method was able to reduce the g-factor penalty and improve the SNR over single-shot EPI. However, since the hybrid-space SENSE requires explicit knowledge of phase variations between the blip-up and -down shots, their inaccurate estimation may introduce reconstruction artifacts and noise amplification(33).
In this work, we propose to combine gSlider encoding and blip-up/down acquisition (BUDA(34)) to achieve high-resolution and distortion-free T2 mapping with whole-brain coverage. First, we incorporate Hankel structured low-rank constraint into our BUDA reconstruction to recover distortion-free images from blip-up/down shots without navigation. To utilize the similarity among different TEs, we introduce a model-based gSlider-subspace joint reconstruction to recover high-resolution thin-slice images. This projects time-domain images into temporal coefficient maps with a temporal basis(35,36) and then the reconstructed coefficients are used to obtain quantitative T2 maps. The proposed method enables distortion-free high-quality whole-brain T2 mapping with ~1 mm isotropic resolution in 2 minutes. This work is an extension of our earlier work which was reported in abstract of ISMRM 2020(37).
Method
BUDA-gSlider acquisition
Figure 1A shows the sequence diagram of proposed multi-slab BUDA-gSlider acquisition. Ten different TEs are acquired to obtain different T2 weighted contrasts. Consecutive TE volumes are acquired with alternating blip-up or -down polarity. For example, TE1 data are encoded with 5 gSlider shots using blip-up polarity, whereas the 5 RF encoding shots in the following TE2 acquisition use blip-down phase encoding. The entire acquisition thus requires a total of 50 shots (NTE×NRF = 10×5, where NTE is the number of different TEs used for generating different T2 weightings, and NRF is the number of RF pulses used for encoding one slab).
To obtain whole-brain coverage efficiently, we utilize the idle time of each TR to acquire data from other slabs. With the 5-mm slab thickness, acquiring 26 slabs will correspond to a 130 mm FOV in the slice direction, thus providing the desired whole-brain coverage. In this way, the entire acquisition time could be described as Tacq=TR× NTE×NRF. To further accelerate the acquisition, we also introduced blipped-CAIPI encoding for simultaneous multi-slab acquisition(38) to reduce the TR to 2400 ms with multi-band (MB) factor 2. With this, we have obtained Tacq=2.4×10×5=120 sec.
For gSlider slab-encodings, the 90° excitation pulses are designed to achieve a highly independent encoding. The five 90° excitation pulses are named as RF1 to RF5 sequentially and used to encode the same slab, which is 5 times as thick as the desired slice thickness. In this work, the targeted slice resolution is 1 mm, and the corresponding thickness of each individual slab is 5 mm. Since each of these RF pulses excites a slab rather than a single slice, there is volumetric SNR gain for each acquisition(20).
k/t BUDA reconstruction
With acquired interleaved blip-up and blip-down shots, distortion-free images of each RF encoding can be jointly reconstructed using the pipeline shown in Figure 1C, which includes the following:
The blip-up EPI data (yellow lines in Figure 1B) and the blip-down EPI data (blue lines in Figure 1B) were separately reconstructed using SENSE to obtain distorted images with ten different TEs, SENSE blip-up and SENSE blip-down shown in Figure 1C. The SENSE blip-up/down images have different geometric distortion due to opposite phase-encoding direction as the arrow indicates.
All of the ten SENSE blip-up/down images were jointly processed in FSL topup (http://fsl.fmrib.ox.ac.uk/fsl) to estimate field maps (29). The advantage by using multiple SENSE blip-up/down images for field estimation over one single pair will be shown later in Results section.
- The estimated field maps were incorporated into the Hankel structured low-rank constrained joint reconstruction blip-up/down data of all TEs (33). This can be described as:
[1]
where t is the index of TE and r is the index of RF encoding. Ft is the undersampled Fourier operator in tth TE’s shot, Et is the estimated off-resonance information, C are the ESPIRiT (23) coil sensitivity maps estimated from distortion-free gradient-echo calibration data, bt,r is the distortion-free image and dt,r are the tth TE’s and rth RF-encoding k-space data. The constraint enforces low-rank prior on the block-Hankel representation of the blip-up and blip-down data, bt&t+1,r, which is implemented by consecutively selecting 9×9 neighborhood points in k-space from each shot and then concatenating them in the column dimension. This reconstruction is implemented by using a projection onto convex sets (POCS) like(39,40) iteration with the tolerance of 0.01% RMSE between two successive iterations. Please note that the reconstructed images bt,r are still RF-encoded slab images. After using this approach to reconstruct five RF encodings (r=1,2…5), a total of 50 distortion-free k/t BUDA images were obtained.
In addition, to justify if the TE-specific contrast is confounded by the Hankel constraint, a comparison of BUDA reconstruction results by using different TEs’ data (proposed k/t BUDA reconstruction) and using same TE’s data was implemented and shown in Results section.
gSlider-subspace joint reconstruction
A model-based gSlider-subspace joint reconstruction was proposed and shown in Figure 2:
A dictionary comprising signal evolution curves of T2 from 1 to 1000 ms with a step size of 1 ms was built. With principal component analysis, the first three principal components were selected as the temporal basis Φ, shown in Figure 2A. With this basis, the desired high-resolution thin-slice images xt,s (where s=1,2…5 is the slice index within a RF-encoded slab) could be expressed as Φce,s(where e=1,2,3 is the index of subspace components), where ce,s is the temporal coefficient map.
To jointly reconstruct all the 50 shots of different TEs and RF encodings, all the BUDA reconstructed images bt,r(t=1,2…10, r=1,2…5) were expanded in the column dimension as bexp, resulting in a 50×1 vector for each voxel with contributions from all TEs and RF encodings. To meet the form of bexp, ct,s is also expanded but along the TE-Slice dimension as cexp.
- Figure 2B shows the gSlider-subspace joint reconstruction, which can also be described as:
where Aexp , a matrix with size of 50×50, contains ten RF-encoding matrices A(This matrix contains the excitation profiles of all RF-encoding pulses and can be calculated using Bloch simulation). Φexp contains five temporal bases Φ corresponding to all the five RF encodings. denotes Tikhonov regularization and λTik is the gSlider Tikhonov subspace regularization parameter and was set to 0.3 to achieve a high SNR gain and sharp partition resolution based on a retrospective experiment, which will be shown in Results section. To validate that three-component PCA is fair for subspace reconstruction, Figure 3 shows exemplary ten coefficient maps from a single slice, where the first three coefficient components capture ~95% of whole signal intensity while the rest seven weak coefficient maps are noise-like.[2] The temporal coefficient maps were projected back to time domain to recover the high-resolution thin-slice images with different T2 contrasts by . Then, the recovered images were used to get the T2 maps using template matching with the pre-calculated dictionary voxel-by-voxel.
In addition, this model could enable further acceleration, for example, by reducing the number of acquired TEs per RF-encoding from 10 to 6 with the sub-sampling pattern shown in Supporting Information Table S1, resulting in a 40% reduction of acquisition time from 120s to 72s. Then, by utilizing the high SNR of RF-encoded slab images, the missing points are fitted using an exponential fitting as initialized inputs of the shuffling model. This approach enables faster acquisition but compromised the image quality with more noise as shown in Supporting Information Figure S1. Therefore, we stick to 120s version for the comparison with gold-standard method.
In-vivo validation
To validate our proposed method, three healthy volunteers were scanned with the approval of Institutional Review Board.
The proposed T2-BUDA-gSlider data were collected using the following protocol: Rin-plane=4, partial Fourier 6/8, multi-band factor=2, TR=2400 ms, 10 different TEs (from 49ms to 121ms with a gap of 8ms, where the 49ms is the shortest possible TE that EPI readout could achieve and 121ms is selected to cover the T2 range of common tissues in brain). A phase-encoding shift Δky of 2 was set between the blip-up and blip-down shots to improve the k-space coverage and the parallel imaging reconstruction. 26 thin slabs (slab thickness=5mm) were acquired with 5 RF encodings for each slab, resulting in ~1-mm slice thickness (influenced by the selection of λTik, which will be discussed later in Result section) for the final high-resolution thin-slice images. With 1×1 mm2 in-plane resolution, the resulting voxel size was 1×1×~1 mm3 with FOV=220×220×130 mm3. For each TE and RF encoding, both blip-up and -down shots were acquired as reference, resulting in a total of 100 shots and the total acquisition time of 240s (Tacq = TR×NTE×NRF-encoding×blip-up/down = 2.4s×10×5×2). Then it was subsampled by alternatively selecting blip-up or blip-down shots in the TE dimension to 50 shots, corresponding to an acquisition time of 120s. A FOV-matched low-resolution 2D gradient-echo (GRE) was also acquired to obtain distortion-free sensitivity maps for BUDA reconstruction.
To test the accuracy of the proposed method, multi-TE single-echo spin-echo (SE) data were also collected as the gold standard to estimate T2 values. The protocol of SE sequence was set the same as the proposed method but with a slice thickness of 5 mm. T2 values were then fitted voxel-by-voxel using the same dictionary as T2-BUDA-gSlider to obtain the T2 maps. In addition, to demonstrate the distortion-free property of the proposed BUDA-gSlider, a 3D fast spin-echo was also acquired as reference. To compare the T2 values in specific subcortical regions by using proposed method and gold standard SE, a T1-weighted MPRAGE sequence was acquired as the input for Freeserfer’s subcortical segmentation(41).
To validate the robustness of the regularization parameter selection, additional two subjects were scanned.
All studies were performed on a 3 Tesla (T) MAGNETOM Prisma scanner (Siemens Healthcare, Erlangen, Germany) with a 64-channel head receiver coil. Computations were performed on a Linux (Red Hat Enterprise) server (with Core i7 Intel Xeon 2.8 GHz CPUs and 64GB RAM) using MATLAB R2014a (The MathWorks, Inc., Natick, MA).
Results
Figure 4 shows the RF-encoded slab images of RF1/TE1 (i.e. 49 ms) by using hybrid-space SENSE and BUDA reconstruction, respectively. As indicated by the blue arrows, the individual SENSE reconstructed images for blip-up and blip-down shots exhibited significant geometric distortions compared to the 3D FSE reference, while the results from BUDA are consistent with the reference. As indicated by the red arrows, the BUDA results had reduced noise amplification and artifacts compared to hybrid-space SENSE. Figure 4B shows the RF-encoded slab images of different TEs using BUDA reconstruction, which provide the different T2 contrasts for subsequent T2 mapping.
Figure 5 shows T2 maps obtained by using different λTik values for Tikhonov regularization of gSlider-subspace joint reconstruction. The impulse responses of the central slice within an RF-encoded slab were shown in the bottom. Here we replaced bexp with a gSlider RF-encoded delta function of the central slice and pass it through the proposed method to obtain the impulse response. The reference results were obtained by using the fully-sampled 100-shots acquisition with λTik of 0.1. Compared with the reference, when λTik was selected between 0.1 to 0.3, a high SNR gain and sharp partition resolution could be achieved. For λTik of 1, significant blurring in partition direction could be observed.
Figure 6 shows four exemplary slices of T2 maps by using the proposed method with λTik =0.3 (top). To directly compare the gold standard method and the proposed method regardless of resolution difference, reformatted T2 maps (averaged across 5 adjacent slices) from BUDA-gSlider were also shown in the second row. T2 maps by using the gold standard SE method (third row) and the tenfold scaled difference maps (fourth row) were also shown. T2 values from six specific regions (including white matter, gray matter, pallidum, thalamus, caudate and putamen) were evaluated and listed in Table 1 for both methods. Estimated T2 values were close to the gold standard SE but with faster acquisition (2 min vs 60 min), higher resolution (1×1×1 mm3 vs 1×1×5 mm3), and larger slice coverage (130 mm vs 75 mm) which demonstrate the utility of T2-BUDA-gSlider. It was found that the T2 values of thalamus deviated the most from the gold standard acquisition. This phenomenon could be caused by two reasons: i) The segmentation is based on an external MPRAGE acquisition. Since this region is relatively small, a small motion between the acquisitions of gold standard and proposed methods could lead to a significant difference. ii) This region is very close to CSF which could influence the T2 values due to partial volume effect.
Table 1.
Unit: ms | WM | GM | Pallidum | Thalamus | Caudate | Putamen |
---|---|---|---|---|---|---|
T2-BUDA-gSlider | 64.17± 6.59 | 75.56±11.16 | 52.75±4.63 | 58.88±5.70 | 65.43±5.14 | 51.80±3.63 |
Gold Standard | 66.23± 6.77 | 73.69±10.72 | 53.12±4.81 | 63.24±5.91 | 67.42±4.69 | 51.10±3.91 |
Figure 7 shows the field maps (first column) estimated by using only one single pair of blip-up/down SENSE reconstruction images (top) and blip-up/down SENSE images of all TEs (bottom), respectively. With more pairs of blip-up/down SENSE images as input for FSL topup, the field map tends to become less noisy and more reasonable, and thus results in better quality for BUDA reconstruction and subsequent T2 mapping.
Figure 8 shows the comparison of BUDA reconstruction by using different TEs’ data (k/t BUDA) and same TE’s data (non-k/t BUDA). The noise-like difference maps and small values of RMSE at same TE with k/t and non-k/t BUDA reconstruction suggest that the k/t BUDA didn’t confound the TE-contrast by using a Hankel constraint.
Figure 9 shows the in-vivo results of two subjects. The similar image quality demonstrated the robustness of regularization parameter selection.
Discussion and Conclusion
The proposed T2-BUDA-gSlider provides a new approach for rapid and distortion-free T2 mapping with the ability to provide whole-brain coverage at ~1-mm3 isotropic resolution in 2min, with an SNR-efficient RF-encoded SE-EPI acquisition. Compared with current state-of-the-art methods listed in the Introduction section, the proposed method is fast with good image quality. It takes advantages of the following:
Distortion-free EPI: By incorporating B0-correction in the forward model, BUDA acquisition and its corresponding joint reconstruction can provide high-quality distortion-free images while the EPI readout can enable fast acquisition.
SNR gain of volumetric gSlider acquisition: Since the individual SENSE blip-up and -down reconstructions are RF-encoded slab images, they benefit from the volumetric SNR gain of using thicker slabs as opposed to conventional 2D acquisitions. The estimated T2 maps also benefit from the SNR boost.
Improved image quality with gSlider-subspace joint reconstruction: We utilized the similarity of images with different TEs to generate better quality T2 maps through joint reconstruction. This has further capitalized on the SNR gain from gSlider and BUDA techniques, which has improved the image quality of the T2 maps. In addition, we used the temporal basis to project images of all TEs and RF encodings into a joint reconstruction model and then reduced the noise by eliminating the weak coefficient components.
The T2 values measured by the proposed method were in accordance with the gold standard SE. We also demonstrated the distortion-free property of the proposed method by comparing the images with 3D FSE data, where BUDA was seen to mitigate the distortion caused by off-resonance and eddy current effects. By comparing the field map estimated by single pair and multiple (i.e. ten) of SENSE blip-up/down images, it could also be found that the latter one enabled better reconstruction results for both BUDA and T2 mapping.
Since the Tikhonov regularization used in the gSlider-subspace joint reconstruction would induce side lobes, the partition resolution might degrade when λTik is big. Therefore the λTik should be selected within the range from 0.1 to 0.3, corresponding to a total side-lobe proportion from 7.08% to 16.64%. Thus a sharp partition resolution as well as high SNR gain could be achieved. And λTik=0.3 was selected in Figure 6 based on the consideration of better image quality.
One limitation is the relatively narrow range of acquired TEs (i.e. from 49ms to 121ms, where the 49ms is the shortest possible TE based on current acquisition parameters). We have employed these values to target gray and white matter in the brain, but this range may not lend itself to targeting short T2 species (e.g. cartilage and myelin) or to capture very long T2 species (e.g. CSF). Another potential fact that could influence the BUDA reconstruction is the imperfectly estimated B0 field map especially in regions with less signal, resulting in uncorrected distortion. To address this issue, a potential approach is to use an external acquisition to estimate B0 field map precisely. To further improve the accuracy of T2 mapping, a potential approach is to compensate magnetization transfer effect by using an EPG model with magnetization transfer consideration(42). In addition, for translating this technique to other body parts, for example abdominal imaging, the challenges may come due to shot-to-shot differences caused by motion and the difficulty for estimating an accurate B0 map.
Based on the BUDA-gSlider SE-EPI acquisition strategy and gSlider-subspace reconstruction, a rapid, distortion-free, high-resolution, whole-brain T2 mapping approach is proposed. The proposed method could obtain whole-brain distortion-free T2 maps with 1-mm3 isotropic resolution in 2 min, which provides a favorable balance between acquisition speed, image quality and the accuracy of T2 estimation.
Supplementary Material
Acknowledgement
This work was supported by:
National Institute of Biomedical Imaging and Bioengineering, Grant/Award Number: P41 EB030006, R01 EB019437, R01 EB020613, U01 EB025162 and R01 EB028797;
National Institute of Mental Health, Grant/Award Number: R01 MH116173;
NVIDIA GPU grant;
Zhejiang Provincial Natural Science Foundation of China: LY19H180006
Zijing Zhang is supported by the China Scholarship Council for a 2-year study at Massachusetts General Hospital.
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