Abstract
Purpose
Most clinical MR examinations require acquisition of different image contrasts. For abdominal exams, the scans are conventionally performed as separate acquisitions using respiratory gating or repeated breath holding, which can be time-inefficient and challenging for patients. Here, a hybrid imaging approach is described that creates T2- and T1-weighted images from a single scan and allows for free-breathing acquisition.
Theory and Methods
T2-weighted data is collected using 3D fast spin-echo (FSE) acquisition with motion-robust radial stack-of-stars sampling. The wait time between the FSE trains is used to acquire T1-weighted gradient-echo (GRE) data. Improved robustness is achieved by extracting a respiratory signal from the GRE data and using it for motion-weighted reconstruction.
Results
As validated in simulations and phantom scans, GRE acquisition in the wait time has minor effect on the signal strength and contrast. Volunteer scans at 1.5 Tesla showed that T2- and T1-weighted hybrid imaging is feasible during free-breathing. Furthermore, it has been demonstrated in a patient that hybrid imaging with T1-weighted Dixon acquisition is possible.
Conclusion
The described hybrid sequence enables comprehensive T2- and T1-weighted imaging in a single scan. In addition to free-breathing abdominal examination, it promises value for clinical applications that are frequently affected by motion artifacts.
Keywords: Abdominal imaging, free-breathing, Dixon imaging, radial sampling, 3D fast spin-echo
INTRODUCTION
Most clinical MR examination protocols require acquisition of multiple sequences with different image-contrast weighting. For instance, abdominal MR examinations typically include separate T2- and T1-weighted scans to allow for detection and proper classification of liver lesions (1–4). T1-weighted contrast is, in most cases, obtained using phase-encoded 3D gradient-echo (GRE) sequences. Because the acquisition time is on the order of 10-20 seconds, these scans are best performed during suspended respiration, which can be a challenge when imaging pediatric, elderly, or sick patients.
T2-weighted contrast in liver MRI at our institution is routinely obtained with single-shot 2D fast spin-echo (FSE) sequences (e.g., HASTE) without fat suppression (5,6) in combination with fat-suppressed 2D FSE sequences. Because acquisition time is long for the latter, these scans need to be performed either using multiple breath-hold maneuvers, multiple averages, or navigator techniques that monitor the respiration and acquire data only in a certain respiratory state (7). However, navigator-triggered acquisition prolongs the examination significantly and fails quite often in clinical practice, particularly when patients suddenly change their breathing pattern. This can either result in residual motion artifacts or completely non-diagnostic images.
It has been shown that radial k-space sampling provides inherent robustness to motion and allows for free-breathing acquisition during shallow respiration (8). Clinical application has been demonstrated for free-breathing T1-weighted acquisition (9) as well for dynamic contrast-enhanced acquisition (10,11). It has also been applied for T1-weighted fat/water separation (12). The combination with T2 weighting, however, is not straightforward. When using a conventional 2D FSE acquisition scheme (13,14), the overlap of the radial projections in the k-space center leads to an undefined image contrast because all projections acquired along the FSE echo train contribute equally to the contrast. Therefore, the images show a mixture of proton-density (PD) weighting and T2 weighting. This problem can only be circumvented by using k-space filtering techniques (14,15) or model-based reconstruction (16,17).
An alternative for applying radial sampling to T2-weighted imaging is to perform a 3D FSE acquisition with a radial stack-of-stars trajectory (18), which uses radial sampling in the kx-ky plane and standard Cartesian sampling along the kz direction. This geometry allows placing the echo train along the Cartesian direction so that the k-space center is acquired at a defined echo time to create consistent T2 weighting of the images. A limitation, however, is the long acquisition time of several minutes (18), which is necessary because of the volumetric excitation and the need to wait for sufficient recovery of the longitudinal magnetization. To reduce this inefficiency, it has been suggested to use part of the waiting time to acquire an additional image contrast (19).
In this work, we build upon this idea and describe an approach for time-efficient hybrid T2- and T1-weighted free-breathing MR examination of the abdomen. The T2-weighted data is obtained using a radial stack-of-stars 3D FSE acquisition while T1-weighted data is acquired by inserting a radial stack-of-stars 3D GRE module into the waiting time of each echo train of the FSE sequence. Moreover, it is shown that alternatively a Dixon-type module can be inserted to generate fat/water-separated T1-weighted images (12). To further improve the robustness of the approach, it is demonstrated that respiratory-motion information can be extracted from the GRE module. The breathing signal can be used to reduce associated blurring and streaking artifacts in both the T2-weighted and T1-weighted images. The influence of the hybrid acquisition on the signal strength is investigated in simulations using the extended phase graph (EPG) framework (20–22). Phantom measurements are shown for validation purposes, and in-vivo results are shown for free-breathing abdominal volunteer and patient scans at 1.5T.
THEORY
T2-Weighted Radial 3D FSE Sequence
The basic sequence timing diagram and k-space sampling scheme of the radial 3D FSE sequence are shown in Figure 1 and Supporting Figure 1. All partitions in the kz plane for one projection angle are acquired with linear ordering during a single echo train. Therefore, all projections on each kz partition level have consistent T2 weighting, resulting in an effective T2-weighted contrast with echo time TE given by the time between the excitation pulse and sampling of the central k-space partition. This scheme is repeated with repetition time TR, each time acquiring a different projection angle. The acquisition of projections in the kx-ky plane follows the golden-angle scheme, which rotates consecutive projections by 111.246° to achieve approximately uniform k-space coverage over time (23).
To avoid high-intensity streaking artifacts from fat, each echo train starts with spectral fat saturation using an inversion recovery (SPIR) RF pulse and subsequent gradient spoiling. Use of a SPIR pulse was necessary because a conventional chemical-shift selective (CHESS) pulse did not provide sufficient fat suppression across the image. A slab-selective 90° RF pulse is used for excitation, followed by a rapid refocusing train (24). Non-selective RF pulses are used to achieve short echo spacing. The flip angle of the initial refocusing pulse is 180°. The remaining RF pulses use a fixed flip angle of 120° to reduce energy deposition. Each refocusing RF pulse is surrounded by crusher gradients to suppress spurious free induction decay (FID) signal contributions. At the end of each echo train, spoiler gradients are applied to dephase residual transversal magnetization. The first echo train of the 3D FSE acquisition is discarded to avoid transient effects.
To improve conspicuity of lesions, blood signal in hepatic vessels can be suppressed by inserting small motion-sensitizing diffusion gradients around the initial refocusing pulse, as indicated in Supporting Figure 1. (14,25). Respective b-values are calculated with the Stejskal and Tanner equation (26) assuming rectangular gradient shapes and neglecting the influence of all imaging gradients. While leading to clearly better lesion conspicuity, the diffusion gradients can also result in some loss of signal strength due to the free-breathing acquisition. Therefore, the strength of the diffusion gradients can be adjusted to match the preference of the reader.
Hybrid T2-/T1-Weighted Acquisition
FSE sequences conventionally require a wait time (trec,total) after each echo train to allow for recovery of the longitudinal magnetization. For 2D FSE sequences, this can be achieved without significant dead time using interleaved multi-slice acquisition. However, for single-slab 3D FSE sequences, such as the one used here, interleaved acquisition is not possible, which makes the acquisition inefficient.
To improve efficiency, it has recently been suggested to use the wait time for acquisition of complementary image information (19). Utilizing this idea, a GRE module with both RF and gradient spoiling has been inserted between the FSE trains to acquire T1-weighted data. Because the GRE imaging is performed with small flip angles (usually ≈ 5-15°) (27), the impact on the magnetization recovery and consequently the signal strength of the T2-weighted FSE data is minor. Analogous to the FSE module, radial stack-of-stars sampling is used such that all partitions for one projection angle are acquired in each repetition (9). Projections are acquired according to the golden-angle ordering scheme.
Two different variations of the GRE module were implemented: First, a fat-suppressed acquisition using a frequency-selective saturation (CHESS) pulse at the beginning of each GRE block (shown in Supporting Figure 1), and second, the previously described Dixon radial volumetric encoding (Dixon-RAVE) method (12), which acquires three echoes within each TRgre. To improve k-space coverage for the latter, subsequent echoes are rotated by 2° using gradient blips, which are applied between the bipolar readout gradients. A CHESS pulse was used for the fat-suppressed GRE module because it provided good suppression in shorter time but use of a SPIR pulse would be possible as well.
Detection of Respiratory Motion
As shown previously (9), radial stack-of-stars sampling is inherently more robust to motion than phase encoding, which translates motion into aliasing or “ghosting” artifacts that spread along the phase-encoding direction. Due to the non-Cartesian sampling geometry, ghosting artifacts cannot appear with radial acquisition, which makes free-breathing acquisition possible. However, in the case of deep respiration, artifacts such as blurring or streaking remain visible. Several strategies exist to address these artifacts, including self gating, extra-dimensional reconstruction (28), or soft gating (29–31). All these methods require a respiratory signal, which can be extracted from the k-space data.
For the hybrid acquisition, both the FSE and GRE modules can provide motion information. However, the FSE signal tends to be more sensitive to high-intensity streak artifacts originating from the arms. Therefore, the GRE data is used instead to extract a respiratory signal, which is then utilized for reconstruction of both the FSE and GRE images.
The calculation of the respiratory signal is illustrated in Supporting Figure 2a. First, the real and imaginary parts of the center sample of each projection are concatenated for all acquired partitions and coils, resulting in a matrix with Nproj columns and Npar × Ncoil × 2 rows. Second, a principal component analysis (PCA) is performed along the concatenated dimension. When the signals are ordered by increasing projection angle, rather than temporally ordered, it can be seen that all components show a dependency on the angle, caused by eddy-current and gradient-delay effects (Supporting Figure 2b). To remove this contamination (32), the first 10 principal components are processed with the second order blind identification (SOBI) algorithm (33), which is an independent component analysis (ICA) method to separate signals from different sources (Supporting Figure 2c).
The respiratory signal is then found as one of the components, while the other components can be attributed to experimental factors such as gradient delays. The frequency spectrum of the components allows for identification of the respiratory signal. When calculating the entropy of the power spectra (Supporting Figure 2d), a jump occurs at the respiratory component. Therefore, the respiratory signal can be detected as the first component where the entropy gradient exceeds its mean value.
Image Reconstruction
For scans without significant respiratory motion, the T2- and T1-weighted images can be reconstructed by performing a standard non-uniform fast Fourier transform (NUFFT). If respiratory information should be included or if Dixon-RAVE fat/water separation is desired, the reconstruction can be formulated as the following inverse problem:
[1] |
where yc,t are the acquired k-space samples and xc,t the image(s) to calculate. C and t denote the channels and the time. Selection of the forward operator A depends on the acquisition type. For the FSE module and the GRE module with fat suppression, A is just the NUFFT operator, implemented as convolution with a Kaiser-Bessel window. For the Dixon-RAVE module (12), A is an operator that transforms the fat/water maps to k-space based on a six-peak model for the fat spectrum (34) and accounts for off-resonance blurring of fat (35). A B0 field map is pre-calculated using an unwrapping algorithm (36) and kept constant during the optimization.
To compensate for respiratory-motion artifacts, a diagonal matrix Λ is included that weights the contributions of the projections according to the estimated respiratory signal. Projections in the end-expiratory state are assigned a weight of 1, and with increasing distance on the respiratory curve, weights are decreased exponentially (30,31). Parallel imaging is incorporated by including a multiplication with the coil-sensitivity maps into the forward operator, which are estimated using the adaptive combination technique (37).
All image reconstructions were performed in Matlab (The MathWorks, Natick, MA) using the NUFFT toolbox by Fessler and Sutton (38). The optimization problem (Eq. [1]) was solved using the limited-memory Broyden-Fletcher-Goldfarb-Shanno (lBFGS) algorithm (39) with 3 iterations. A PCA-based channel compression was applied to reduce the computational complexity (40), compressing the multi-channel data into only 8 eigenmodes. To enable parallel processing of multiple slices, an inverse FFT was applied along the kz partition direction, which disentangles the problem along kz. On a server with two 16-core Intel Xeon CPUs and 256 GB RAM, all iterative reconstructions finished in less than 15 min.
METHODS
Simulations
To investigate how the proposed hybrid acquisition influences the signal behavior compared to separate 3D FSE and 3D GRE acquisitions, simulations were performed with the EPG concept (20,21). Five different tissue types were simulated using T1/T2 values from literature for 1.5 T (41,42): liver (586/46 ms), spleen (1057/79 ms), kidney cortex (966/87 ms), kidney medulla (1412/85 ms), and hepatic cyst (691/371 ms).
The following parameters were used for simulation of the FSE acquisition: echo train length (ETL) = 64, echo spacing (ESP) = 4.42 ms, TE of first echo TEfirst = 12.50 ms, TR = 1200 ms, flip angle (FA) of the excitation pulse = 90°, FA of the first refocusing pulse = 180°, FA of the remaining refocusing pulses = 120°. The available wait time between the last refocusing pulse at the start of the next FSE train was trec,total = TR − ETL ∙ ESP - TEfirst − tspir = 769.62 ms, where tspir = 135 ms is the time between the SPIR pulse for fat suppression and the excitation pulse.
Different parameter settings were simulated for the GRE module. First, TRgre = 3.91 ms and FAgre = 12° were used. For the hybrid approach, the GRE module was placed in the center of the wait time trec,total and 64 echoes were simulated to match the ETL of the FSE acquisition and therefore the actual sequence implementation. For simulation of separate GRE, 1000 echoes were chosen to ensure that a steady-state has been reached. To investigate the influence of FAgre, TRgre, and the placement of the GRE module, the simulations for liver tissue were repeated while one of the parameters was varied. Parameter ranges were FAgre = {4;8;12;16;20}°, TRgre = {2;4;6;8;10} ms, and trec,pre = {50;200;350;500} ms where trec,pre denotes the time between the last refocusing pulse of the FSE module and the first RF pulse of the GRE module. When changing TRgre and FAgre, the GRE module was centered in the available wait time.
Imaging Experiments
All imaging experiments were performed using 1.5 T scanners (Magnetom Aera, Siemens Healthineers, Erlangen, Germany).
Phantom Scans
To analyze the signal and contrast behavior of the hybrid approach, a NIST phantom (High Precision Devices, Boulder, CO) was scanned with FSE only, GRE only, and the hybrid FSE/GRE acquisition. All measurements were performed with a 20-channel head coil using a field-of-view (FOV) of 350×350×224 mm3 and a matrix size of 256×256 pixels. Sixty-four slices in the axial orientation and 400 radial projections were collected. The following parameters were used for the FSE acquisition: TR/TEeff = 1200/151 ms, TEfirst = 12.50 ms, ETL = 64, ESP = 4.42 ms, FA of refocusing train = 120°, readout bandwidth = 390 Hz/px. The GRE acquisition used: TRgre/TEgre = 3.91/1.81 ms, FAgre = 12°, readout bandwidth = 480 Hz/px. Parameters of the hybrid FSE/GRE scan were identical to the separate acquisitions. The GRE module was placed in the center of the available wait time by choosing trec,pre = trec,post = 270 ms. Total scan time of the separate GRE scan was 1:59 min. Scan time of the separate FSE and the hybrid FSE/GRE acquisition were 8:03 min each.
SNR maps were calculated using the multiple pseudo replica approach (43). Separately acquired noise samples were used to generate 100 synthetic noise maps. These noise maps were added to the measurements and NUFFT reconstructions were performed for each of the 100 resulting datasets. Pixel-wise SNR values were obtained by dividing the original image by the standard deviation over the 100 reconstructed datasets. Additionally, average SNR was calculated in several regions of interest containing 36 pixels each.
In Vivo Experiments
All in vivo studies were HIPAA compliant and approved by the Institutional Review Board. Written informed consent was obtained from each subject.
Hybrid Liver Scan
A free-breathing liver scan of a healthy volunteer was performed using a 32-channel spine coil array in combination with an 18-channel body coil array for signal reception. Acquisitions were done in FSE, GRE, and hybrid FSE/GRE mode using a FOV of 350×350×224 mm3, matrix size of 256×256 pixels, 64 axial slices, and 400 radial projections. Other imaging parameters were identical to the phantom scans, resulting in a scan time of 1:59 for separate GRE acquisition and 8:03 min for FSE and hybrid FSE/GRE acquisitions. To demonstrate the option for blood-signal suppression, the separate FSE and hybrid FSE/GRE acquisitions were repeated with additional diffusion gradients with an amplitude of 19 mT/m and a duration of 2 ms, which applied an empirically chosen b-value of 0.67 s/mm2 in three orthogonal directions.
Images and SNR maps were reconstructed with conventional NUFFT. The hybrid FSE/GRE dataset was additionally reconstructed with the iterative approach after setting the weights of the matrix Λ to 1 (no motion weighting) and again after setting the weights based on the respiratory curve (motion weighting).
For comparison, a clinical T2-weighted navigator-triggered 2D FSE “prospective acquisition correction” (PACE) scan was performed with the following parameters: FOV = 350×350 mm2, matrix size = 256×256 pixels, 32 axial slices, slice thickness = 5 mm, slice distance factor = 20%, TR/TEeff = 1200/99 ms, FA of refocusing train = 120°, ESP = 5.22 ms, turbo factor = 19, readout bandwidth = 391 Hz/px, SPIR fat suppression, GRAPPA acceleration factor = 2. These images were reconstructed using the manufacturer’s algorithm on the MR system.
Hybrid Dixon Liver Scan
A free-breathing hybrid FSE/Dixon-RAVE acquisition was performed in the same volunteer. Three echoes were acquired with blipped bipolar multi-echo readout and the following parameters: TRgre = 6.16 ms, TEgre,1/TEgre,2/TEgre,3 = 1.38/2.93/4.48 ms, and readout bandwidth = 810 Hz/px. Additional diffusion weighting (b = 0.67 s/mm2 per axis) was applied in the FSE module. All other parameters were kept identical, maintaining an acquisition time of 8:03 min.
To generate water and fat maps, Eq. 1 was solved using the previously described model-based approach (12). The respiratory signal for motion weighting was extracted from the first Dixon-RAVE echo, which was also used for motion-weighted reconstruction of the T2-weighted FSE data by solving Eq. 1.
To investigate the motion robustness of the proposed technique, additional volunteer scans were performed for different degrees of respiration. For each volunteer, three FSE/Dixon-RAVE datasets were acquired during which the volunteers were asked to perform regular, irregular, and deep breathing for the duration of the scan. Here, no additional diffusion weighting was applied. All other imaging parameters were identical to the scan described above. Image reconstructions were performed both without and with motion weighting.
Patient Hybrid Liver Scans
Hybrid T2-weighted/Dixon-RAVE acquisition during free-breathing was performed in a clinical patient (female, 63 years). The FOV was adjusted to 390 × 390 mm2 and the slice thickness to 3 mm. All other parameters were identical to the volunteer scan. As part of the clinical procedure, 1 mL of Gadobutrol (Gadavist; Bayer Healthcare LLC, Whippany, NJ) was dissolved in water and administered intraorally. No additional contrast agent was injected before the hybrid scan. Motion-weighted reconstruction was performed using Eq 1.
RESULTS
Simulations
Figure 2 shows the simulated signal-time curves for different tissue types. As expected, the signal levels for both the FSE and the GRE modules are affected by the hybrid acquisition. When using linear reordering and comparing the signal levels at the center of the FSE module, the attenuation caused by the hybrid acquisition is 22.3% for liver, 28.8% for spleen, 28.2% for kidney cortex, 30.9% for kidney medulla, and 25.6% for the cyst. For the GRE module, the signal is reduced significantly when looking at the beginning of the echo train. However, GRE imaging is conventionally performed in a steady-state and not during the initial transient state. Therefore, a later time point should be considered for making the comparison. When using linear partition reordering and comparing the center of the hybrid GRE module to the steady-state signal of the separate GRE module, the signal of the hybrid acquisition is increased by 30.6% for liver, 36.9% for spleen, 37.0% for kidney cortex, 38.0% for kidney medulla, and 34.1% for the cyst. The dotted line in the hybrid panel indicates the signal time curve for separate FSE and GRE acquisition of liver tissue.
The influence of different parameter options for the GRE module is summarized in Figure 3. With increasing FAgre, the attenuation of the FSE signal increases, while the effect on the GRE signal varies depending on the tissue relaxation time. Varying the repetition time of the GRE module has almost no effect on the FSE signal, while the effect on the GRE signal depends again on the tissue type. When varying the position of the GRE module, the smallest attenuation of the FSE signal is obtained when the GRE module is placed right after the FSE module, i.e. with minimum trec,pre. In contrast, the attenuation of the GRE signal is lowest when placing the GRE module at the end of the wait time, i.e. with maximum trec,pre.
Phantom Scans
Figure 4 shows the calculated SNR maps from the phantom measurements. When comparing the signal strength between separate and hybrid acquisitions, an overall attenuation of the FSE signal can be seen, as expected, which ranges from 3.6 % to 36.2 % for different vials. In contrast, the overall level of the GRE signal is higher for the hybrid measurement. Here, the relative increase ranges from 28.4 % to 46.4 %. This indicates that the degree of SNR change varies for the different vials and, thus, depends on the underlying relaxation times, which is consistent with the findings from the simulations.
Free-Breathing Hybrid Liver Scan
Figure 5 shows NUFFT reconstructions of the separate FSE and GRE scans as well as the proposed hybrid FSE/GRE acquisition. Overall image appearance and contrast behavior are comparable. Regions of interest drawn in the SNR maps (Supporting Figure 3) confirm the expected signal changes for the hybrid approach. In particular, a signal decrease for the hybrid FSE image of 24.7%, 24.2%, 27.1% and 25.8%, was found for liver, spleen, kidney cortex, and kidney medulla, while the signal increase for the hybrid GRE image for these tissues was 29.6%, 39.9%, 26.9%, and 31.4%, which is in line with both the simulations and the phantom scans.
A further difference in the GRE contrast is that the aorta appears bright in the separate acquisition. This effect is caused by inflow of unsaturated spins into the imaging slab, which appears commonly with slab-selective steady-state acquisition. Because the hybrid scheme uses non-selective refocusing RF pulses together with gradient spoiling, also the areas outside of the imaging slab get saturated, which suppresses most of the inflow effects.
All radial images show a slight drop of the signal intensity towards the center of the subject (Figures 5–9), caused by B1 inhomogeneity in the RF receiver profiles. When calculating images directly on the scanner, these intensity modulations get automatically corrected (“prescan normalize”). However, the correction has not been implemented in the Matlab offline reconstruction. As reference, a clinical T2-weighted navigator-triggered 2D FSE scan is shown, which is affected by typical motion artifacts for phase-encoded sequences (arrow) while the overall image quality is quite comparable.
Figure 6 demonstrates the effect of adding stronger diffusion weighting to suppress blood vessels, which clearly improves conspicuity of the cyst in the liver of the volunteer. The suppression works equally well for the separate and hybrid FSE acquisition. It is accompanied by a slight loss of signal strength in the liver parenchyma, likely caused by occurrence of respiratory motion during the diffusion weighting.
The respiratory signal extracted from the GRE module of the hybrid acquisition is shown in Figure 7. The color of the curve indicates the weight used for motion-corrected reconstruction. Although acceptable image quality is already achieved without motion correction (no motion weighting, left column), the cyst (arrow) is blurred along the superior-inferior direction. When motion weighting is added to the reconstruction (right column), blurring is reduced and improved delineation of the cyst is achieved.
Hybrid Dixon Liver Scans
Figure 8 shows volunteer results from the hybrid FSE/Dixon-RAVE scan, generating T2-weighted images, water-only T1-weighted images (“fat-suppressed”), fat-only images (“water-suppressed”), and synthetically generated T1-weighted images in the in-phase and opposed-phase condition from a single 8:03 min free-breathing acquisition.
Results from two volunteer scans with different breathing instructions are shown in Supporting Figure 4. With the motion-averaged reconstruction, image quality for irregular and deep breathing is degraded due to blurring and streaking artifacts. With motion-weighting, these artifacts are reduced and the image quality is comparable to the scan acquired during regular breathing.
Patient Hybrid Liver Scans
Results from the patient examination can be seen in Figure 9, revealing a benign hepatic cyst on the upper slice and a septated hemorrhagic cyst in the right kidney on the lower slice.
DISCUSSION
Conventional abdominal MR examination involves acquisition of a series of differently weighted imaging sequences during repeated breath-hold maneuvers, with multiple averages, or navigator triggering. This makes the examination time-inefficient, complex, and sensitive to artifacts related to incomplete suspension of respiration. To address these limitations, a hybrid imaging technique has been described that provides T2- and T1-weighted images from a single free-breathing scan by synergistically combining multiple previously proposed concepts, such as combined 3D FSE and GRE acquisition, radial stack-of-stars sampling, and self-navigated motion-weighted reconstruction.
As shown in simulations (Figure 2) and phantom measurements (Figure 4), the hybrid scheme leads to somewhat modified signal levels for both contrast types. In a conventional FSE sequence, recovery of the longitudinal magnetization occurs during the wait time between two consecutive echo trains. When a GRE train is inserted, the magnetization recovers with modified relaxation time during the influence of the GRE train and towards a lower steady-state value (44). Consequently, the magnetization available at the start of the next TR is reduced, resulting in decreased signal strength of the hybrid FSE acquisition. This signal decrease did not influence the diagnostic utility of the hybrid FSE contrast. Nevertheless, it could be more problematic when acquiring data with much higher spatial resolution, which, however, is rather uncommon in clinical abdominal imaging. When comparing the signal reduction in the hybrid FSE module to the signal reduction of a separate FSE acquisition with reduced TR, simulations have indicated that similar signal strength can be obtained by reducing the TR by 30%. While this value is not insignificant, the proposed hybrid technique additionally offers the advantages of perfectly registered contrasts and improved workflow.
In contrast to FSE data, the signal strength of the GRE data is increased compared to separate acquisition. In conventional GRE scans, k-space lines are acquired during steady-state after driving the magnetization into equilibrium with a train of preparation excitations. In the proposed hybrid approach, GRE data are primarily acquired in the transient state, starting from the magnetization available after the FSE echo train and subsequent waiting time trec,pre. This results in an overall stronger signal (Figure 2), particularly for tissues with longer T1 values because the difference between the steady state and the transient state is higher, but also in a signal modulation along the GRE train that translates into blurring. However, the effective impact on the image contrast is minor and was not noticeable in the in-vivo experiments. One explanation is that the trajectory acquires all partitions for one radial projection with a single GRE train, thus placing the signal modulation in the through-plane direction. Therefore, the magnetization state along kz is identical for all projections, which avoids visible in-plane artifacts that would arise when mixing differently weighted data from the transient phase (45). Nevertheless, if artifacts became noticeable, steady-state preparation methods could be applied to mitigate the effect (46).
Signal changes between the hybrid technique and the separate acquisitions were consistent in simulations, phantom measurements, and in-vivo experiments. Noteworthy, the signal change for different relaxation times such as liver, spleen, and kidney is similar and therefore, contrast differences are only subtle.
The strength of the signal change caused by hybrid acquisition depends on several sequence parameters and can be influenced by optimizing the values. With increasing flip angle FAgre, both the apparent relaxation time T1* and steady-state signal of the GRE module are reduced (44), and the available magnetization at the beginning of the FSE module is decreased. The choice of TRgre has only minimal influence on the FSE signal, which is consistent with previous findings (19). Extending TRgre comes at almost no cost and, therefore, low readout bandwidths can be used in the GRE module to maximize SNR. Alternatively, multiple echoes can be acquired within each TR, as done in the Dixon-RAVE module. As the number of acquired echoes is only limited by the available wait time trec,total, acquisition of multiple echoes is possible with no increase in total scan time. This could be exploited for quantitative fat/water imaging applications, such as T2* quantification and accurate proton-density fat-fraction estimation (47,48).
The position of the GRE module was investigated as a third parameter. Here, an opposite effect exists for the FSE and GRE signal: With shorter trec,pre, the recovery of magnetization after the FSE train is reduced, leading to signal decrease in the transient phase of the GRE module. During the GRE module, the magnetization approaches a steady-state independent from trec,pre. Therefore, a longer trec,post leads to increased signal of the subsequent FSE train. Even when the steady-state is not reached at the end of the GRE module (as in Figure 3), the remaining signal difference is small and compensated for by the longer recovery period. All of these effects are inverted by selecting higher trec,pre, leading to reduced FSE and increased GRE amplitude.
All measurements shown in this work were acquired using a fixed refocusing angle for the FSE train. Alternatively, variable flip-angle schemes can be employed, which allow lengthening the echo train while maintaining high signal (49–51). In addition, flip-angle modulation can be used for lowering RF power deposition and the specific absorption rate (SAR) (52). However, the use of variable flip angles comes at expense of increased T1 contribution to the image contrast, which results in modified image appearance relative to standard T2-weighted FSE images (49). For example, muscle tissue appears hyperintense. While the effect can be reduced by using a T2 preparation module (53), our radiologists prefer the contrast obtained with fixed flip angle for abdominal examination. At a field strength of 1.5 T, this is possible without SAR constraints for up to relatively high flip angles, while the use at higher field strengths might require implementation of flip-angle modulation. However, such variable flip-angle scheme leads to decreased T1-relaxation during the FSE module, therefore reducing T1-contrast in the GRE image of the hybrid acquisition.
In the current implementation, the ETL of the FSE and GRE acquisitions is linked to the number of kz partitions Npar. Therefore, the total scan time depends only on the repetition time TR and the number of projections Nproj. However, for a small number of slices, this leads to reduced scan efficiency whereas for a large number of slices, the signal amplitude becomes weak due to the long echo train. Furthermore, changing the number of slices results in modified image contrast as the echo time of the center partition changes. Therefore, we usually keep the number of slices at a fixed value to maintain the T2 weighting and instead modify the slice thickness when adjusting the acquisition volume to the region of interest. This limitation can be resolved by decoupling the ETL from the number of partitions Npar, which, however, requires implementation of an advanced ordering scheme to avoid sharp transitions in T2 weighting (51). Moreover, it would also be possible to select the ETL (and other parameters) of the FSE and GRE modules independently, which would create additional flexibility for the acquisition. However, in view of the clinical usability of the technique, it is preferable if both modules acquire the contrasts with identical scan settings.
One common artifact with radial k-space acquisition is streaking. Due to the circular point spread function of radial sampling (54), high-intensity regions in the periphery of the object can extend over the entire FOV and impair the overall image quality. In particular, if the fat suppression fails in the arms where the B0 homogeneity is reduced, spurious streaks can propagate across the entire image. In many cases, the streaks predominantly affect individual receive coil elements located in proximity of the artifact source. Because these coil elements often do not provide relevant image information, one solution is to discard these elements before image reconstruction or to weight them according to the streak level estimated for each element (55–58).
While the use of radial sampling provides inherent robustness to motion and allows for examination during shallow breathing, additional motion correction is needed in patients exhibiting deep breathing. For this purpose, a respiratory signal is required. Various approaches have been described that extract a breathing signal from k-space data, including the commonly used center-of-mass calculation (59). This method, however, did not achieve sufficient reliability for the hybrid sequence, which may be explained by the fact that the respiratory motion is only sampled every TR and therefore with a relatively low frequency compared to typical respiratory rates. This results in a non-continuous curve for which applying additional smoothing to filter out residual biasing components from other sources may not work. To overcome this, the combination of a PCA with SOBI has been introduced for estimation of the signal, which worked well in all acquired datasets and might be promising also for related applications, such as XD-GRASP (28) or XD-Dixon-RAVE (12). However, the robustness of the approach still needs to be evaluated in a larger cohort of subjects. A limitation is reached when the respiratory motion becomes so strong and fast that the motion state changes significantly during one repetition. In this case, it might be possible to incorporate external signals, e.g. changes in the coil load or a camera, for assigning data from a single echo train to different motion states.
CONCLUSION
The described hybrid MRI technique enables volumetric T2- and T1-weighted abdominal imaging during free-breathing by collecting both FSE and GRE data in a single scan. Due to the use of radial k-space sampling, the method is inherently robust to ghosting artifacts. Residual motion-related blurring can be reduced by extracting a breathing curve from the k-space data and incorporating it into the reconstruction. Besides free-breathing abdominal imaging, the presented approach could be of value for other clinical applications that require acquisition of both T2- and T1-weighted images and that are typically affected by motion artifacts.
Supplementary Material
Acknowledgments
We thank Brian Hargreaves for providing the source code for the extended phase graph simulations (http://web.stanford.edu/~bah/software/epg/). Grant funding: NIH R01 EB018308 and P41 EB017183.
References
- 1.Outwater EK, Ito K, Siegelman E, Martin CE, Bhatia M, Mitchell DG. Rapidly enhancing hepatic hemangiomas at MRI: distinction from malignancies with T2-weighted images. J Magn Reson Imaging. 1997;7:1033–1039. doi: 10.1002/jmri.1880070615. [DOI] [PubMed] [Google Scholar]
- 2.Ichikawa T, Araki T, Miyazaki T, Al E, Volpe J, Wheeler HG, Clouse ME. Fast magnetic resonance imaging of liver. Eur J Radiol. 1999;29:186–210. doi: 10.1016/s0720-048x(98)00176-4. [DOI] [PubMed] [Google Scholar]
- 3.Tello R, Fenlon HM, Gagliano T, DeCarvalho VLS, Yucel EK. Prediction rule for characterization of hepatic lesions revealed on MR imaging. Am J Roentgenol. 2001;176:879–884. doi: 10.2214/ajr.176.4.1760879. [DOI] [PubMed] [Google Scholar]
- 4.Albiin N. MRI of focal liver lesions. Curr Med Imaging Rev. 2012;8:107–116. doi: 10.2174/157340512800672216. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 5.Kiefer B, Graessner J, Hausman R. Image aquisition in a second with half-fourier acquisition single shot turbo spin echo. J Magn Reson Imaging. 1994;(Suppl):86–87. [Google Scholar]
- 6.Semelka RC, Kelekis NL, Thomasson D, Brown MA, Laub GA. HASTE MR imaging: description of technique and preliminary results in the abdomen. J Magn Reson Imaging. 1996;6:698–699. doi: 10.1002/jmri.1880060420. [DOI] [PubMed] [Google Scholar]
- 7.Kim BS, Kim JH, Choi GM, Kim SH, Park JK, Song B-C, Kang W. Comparison of three free-breathing T2-weighted MRI sequences in the evaluation of focal liver lesions. Am J Roentgenol. 2008;190:19–27. doi: 10.2214/AJR.07.2043. [DOI] [PubMed] [Google Scholar]
- 8.Glover GH, Pauly JM. Projection reconstruction techniques for reduction of motion effects in MRI. Magn Reson Med. 1992;28:275–289. doi: 10.1002/mrm.1910280209. [DOI] [PubMed] [Google Scholar]
- 9.Block KT, Chandarana H, Milla S, et al. Towards routine clinical use of radial stack-of-stars 3D gradient-echo sequences for reducing motion sensitivity. J Korean Soc Magn Reson Med. 2014;18:87–106. [Google Scholar]
- 10.Feng L, Grimm R, Block KT, Chandarana H, Kim SG, Xu J, Axel L, Sodickson DK, Otazo R. Golden-angle radial sparse parallel MRI: Combination of compressed sensing, parallel imaging, and golden-angle radial sampling for fast and flexible dynamic volumetric MRI. Magn Reson Med. 2014;72:707–717. doi: 10.1002/mrm.24980. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 11.Chandarana H, Feng L, Block TK, Rosenkrantz AB, Lim RP, Babb JS, Sodickson DK, Otazo R. Free-breathing contrast-enhanced multiphase MRI of the liver using a combination of compressed sensing, parallel imaging, and golden-angle radial sampling. Invest Radiol. 2013;48:10–6. doi: 10.1097/RLI.0b013e318271869c. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 12.Benkert T, Feng L, Sodickson DK, Chandarana H, Block KT. Free-breathing volumetric fat/water separation by combining radial sampling, compressed sensing, and parallel imaging. Magn Reson Med. 2016 doi: 10.1002/mrm.26392. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13.Rasche V, Holz D, Schepper W. Radial turbo spin echo imaging. Magn Reson Med. 1994;32:629–38. doi: 10.1002/mrm.1910320512. [DOI] [PubMed] [Google Scholar]
- 14.Altbach MI, Outwater EK, Trouard TP, Krupinski EA, Theilmann RJ, Stopeck AT, Kono M, Gmitro AF. Radial fast spin-echo method for T2-weighted imaging and T2 mapping of the liver. J Magn Reson Imaging. 2002;16:179–189. doi: 10.1002/jmri.10142. [DOI] [PubMed] [Google Scholar]
- 15.Song HK, Dougherty L. k-Space weighted image contrast (KWIC) for contrast manipulation in projection reconstruction MRI. Magn Reson Med. 2000;44:825–832. doi: 10.1002/1522-2594(200012)44:6<825::aid-mrm2>3.0.co;2-d. [DOI] [PubMed] [Google Scholar]
- 16.Block KT, Uecker M, Frahm J. Model-based iterative reconstruction for radial fast spin-echo MRI. IEEE Trans Med Imaging. 2009;28:1759–1769. doi: 10.1109/TMI.2009.2023119. [DOI] [PubMed] [Google Scholar]
- 17.Ben-Eliezer N, Sodickson DK, Block KT. Rapid and accurate T2 mapping from multi-spin-echo data using Bloch-simulation-based reconstruction. Magn Reson Med. 2015;73:809–817. doi: 10.1002/mrm.25156. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 18.Mugler JPI, Bauer S, Paul D, Stemmer A, Kiefer B. Radial single-slab 3D turbo spin echo (SPACE). Proceedings of the 21st Annual Meeting of ISMRM; Salt Lake City, Utah. 2013; p. 2368. [Google Scholar]
- 19.Li G, Zaitsev M, Weigel M, Meyer E, Paul D, Korvink J, Hennig J. On the feasibility of hybrid acquisition in SPACE. Proceedings of the 21st Annual Meeting of ISMRM; Salt Lake City, Utah. 2014; p. 1467. [Google Scholar]
- 20.Hennig J. Echoes - how to generate, recognize, use or avoid them in MR-imaging sequences. Part I: Fundamental and not so fundamental properties of spin echoes. Concepts Magn Reson. 1991;3:125–143. [Google Scholar]
- 21.Hargreaves BA, Miller KL. Using extended phase graphs: review and examples. Proceedings of the 21st Annual Meeting of ISMRM; Salt Lake City, Utah. 2013; p. 3718. [Google Scholar]
- 22.Weigel M. Extended phase graphs: Dephasing, RF pulses, and echoes - Pure and simple. J Magn Reson. 2015;41:266–295. doi: 10.1002/jmri.24619. [DOI] [PubMed] [Google Scholar]
- 23.Winkelmann S, Schaeffter T, Koehler T, Eggers H, Doessel O. An optimal radial profile order based on the golden ratio for time-resolved MRI. IEEE Trans Med Imaging. 2007;26:68–76. doi: 10.1109/TMI.2006.885337. [DOI] [PubMed] [Google Scholar]
- 24.Mugler JPI, Brookeman JR. Efficient spatially-selective single-slab 3D turbo-spin-echo imaging. Proceedings of the 11th Annual Meeting of ISMRM; Toronto, Canada. 2004; p. 695. [Google Scholar]
- 25.Trouard TP, Theilmann RJ, Altbach MI, Gmitro AF. High-resolution diffusion imaging with DIFRAD-FSE (Diffusion-Weighted Radial Acquisition of Data With Fast Spin-Echo) MRI. Magn Reson Med. 1999;42:11–18. doi: 10.1002/(sici)1522-2594(199907)42:1<11::aid-mrm3>3.0.co;2-j. [DOI] [PubMed] [Google Scholar]
- 26.Stejskal EO, Tanner JE. Spin Diffusion measurements: spin echoes in the presence of a timedependent field gradient. J Chem Phys. 1965;42:288–292. [Google Scholar]
- 27.Haase A, Frahm J, Matthaei D, Haenicke W, Merboldt K-D. FLASH imaging. Rapid NMR imaging using low flip-angle pulses. J Magn Reson. 1986;67:258–266. doi: 10.1016/j.jmr.2011.09.021. [DOI] [PubMed] [Google Scholar]
- 28.Feng L, Axel L, Chandarana H, Block KT, Sodickson DK, Otazo R. XD-GRASP: Golden-angle radial MRI with reconstruction of extra motion-state dimensions using compressed sensing. Magn Reson Med. 2016;75:775–788. doi: 10.1002/mrm.25665. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 29.Johnson KM, Block WF, Reeder SB, Samsonov A. Improved least squares MR image reconstruction using estimates of k-Space data consistency. Magn Reson Med. 2012;67:1600–1608. doi: 10.1002/mrm.23144. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 30.Zhang T, Cheng JY, Potnick AG, Barth RA, Alley MT, Uecker M, Lustig M, Pauly JM, Vasanawala SS. Fast pediatric 3D free-breathing abdominal dynamic contrast enhanced MRI with high spatiotemporal resolution. J Magn Reson Imaging. 2015;41:460–473. doi: 10.1002/jmri.24551. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 31.Cheng JY, Zhang T, Ruangwattanapaisarn N, Alley MT, Uecker M, Pauly JM, Lustig M, Vasanawala SS. Free-breathing pediatric MRI with nonrigid motion correction and acceleration. J Magn Reson Imaging. 2015;42:407–420. doi: 10.1002/jmri.24785. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 32.Grimm R, Block TK, Kiefer B, Hornegger J. Bias Correction for Respiration Detection in Radial 3D Gradient-Echo Imaging. Proceedings of the 19th Annual Meeting of ISMRM; Montreal, Canada. 2011; p. 2677. [Google Scholar]
- 33.Belouchrani A, Abed-Meraim K, Cardoso J-F, Moulines E. A blind source separation technique using second-order statistics. IEEE Trans Signal Process. 1997;45:434–444. [Google Scholar]
- 34.Hu HH, Börnert P, Hernando D, Kellman P, Ma J, Reeder SB, Sirlin C. ISMRM workshop on fat-water separation: Insights, applications and progress in MRI. Magn Reson Med. 2012;68:378–388. doi: 10.1002/mrm.24369. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 35.Brodsky EK, Holmes JH, Yu H, Reeder SB. Generalized k-space decomposition with chemical shift correction for non-Cartesian water-fat imaging. Magn Reson Med. 2008;59:1151–1164. doi: 10.1002/mrm.21580. [DOI] [PubMed] [Google Scholar]
- 36.Liu J, Drangova M. Method for B0 off-resonance mapping by non-iterative correction of phase-errors (B0-NICE) Magn Reson Med. 2015;74:1177–1188. doi: 10.1002/mrm.25497. [DOI] [PubMed] [Google Scholar]
- 37.Walsh DO, Gmitro AF, Marcellin MW. Adaptive reconstruction of phased array MR imagery. Magn Reson Med. 2000;43:682–690. doi: 10.1002/(sici)1522-2594(200005)43:5<682::aid-mrm10>3.0.co;2-g. [DOI] [PubMed] [Google Scholar]
- 38.Fessler JA, Sutton BP. Nonuniform fast Fourier transforms using min-max interpolation. IEEE Trans Signal Process. 2003;51:560–574. [Google Scholar]
- 39.Liu DC, Nocedal J. On the limited memory BFGS method for large scale optimization. Math Program. 1989;45:503–528. [Google Scholar]
- 40.Huang F, Vijayakumar S, Li Y, Hertel S, Duensing GR. A software channel compression technique for faster reconstruction with many channels. Magn Reson Imaging. 2008;26:133–141. doi: 10.1016/j.mri.2007.04.010. [DOI] [PubMed] [Google Scholar]
- 41.de Bazelaire CMJ, Duhamel GD, Rofsky NM, Alsop DC. MR imaging relaxation times of abdominal and pelvic yissues measured in vivo at 3.0 T: preliminary results. Radiology. 2004:652–659. doi: 10.1148/radiol.2303021331. [DOI] [PubMed] [Google Scholar]
- 42.Farraher SW, Jara H, Chang KJ, Ozonoff A, Soto JA. Differentiation of hepatocellular carcinoma and hepatic metastasis from cysts and hemangiomas with calculated T2 relaxation times and the T1/T2 relaxation times ratio. J Magn Reson Imaging. 2006;24:1333–1341. doi: 10.1002/jmri.20758. [DOI] [PubMed] [Google Scholar]
- 43.Robson PM, Grant AK, Madhuranthakam AJ, Lattanzi R, Sodickson DK, McKenzie CA. Comprehensive quantification of signal-to-noise ratio and g -factor for image-based and k -space-based parallel imaging reconstructions. Magn Reson Med. 2008;60:895–907. doi: 10.1002/mrm.21728. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 44.Deichmann R, Haase A. Quantification of T1 values by SNAPSHOT-FLASH NMR imaging. J Magn Reson. 1992;96:608–612. [Google Scholar]
- 45.Ganter C. Analytical solution to the transient phase of steady-state free precession sequences. Magn Reson Med. 2009;62:149–164. doi: 10.1002/mrm.21968. [DOI] [PubMed] [Google Scholar]
- 46.Busse RF, Riederer SJ. Steady-state preparation for spoiled gradient echo imaging. Magn Reson Med. 2001;45:653–661. doi: 10.1002/mrm.1088. [DOI] [PubMed] [Google Scholar]
- 47.Eggers H, Börnert P. Chemical shift encoding-based water-fat separation methods. J Magn Reson Imaging. 2014;40:251–268. doi: 10.1002/jmri.24568. [DOI] [PubMed] [Google Scholar]
- 48.Hernando D, Levin YS, Sirlin CB, Reeder SB. Quantification of liver iron with MRI: State of the art and remaining challenges. J Magn Reson Imaging. 2014;40:1003–1021. doi: 10.1002/jmri.24584. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 49.Alsop DC. The sensitivity of low flip angle RARE imaging. Magn Reson Med. 1997;37:176–184. doi: 10.1002/mrm.1910370206. [DOI] [PubMed] [Google Scholar]
- 50.Mugler JPI, Kiefer B, Brookeman JR. Three-dimensional T2-weighted imaging of the brain using very long spin-echo trains. Proceedings of the 8th Annual Meeting of ISMRM; Denver, Colorado. 2000; p. 687. [Google Scholar]
- 51.Busse RF, Brau ACS, Vu A, Michelich CR, Bayram E, Kijowski R, Reeder SB, Rowley HA. Effects of refocusing flip angle modulation and view ordering in 3D fast spin echo. Magn Reson Med. 2008;60:640–649. doi: 10.1002/mrm.21680. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 52.Mugler JPI, Wald LL, Brookeman JR. T2-weighted 3D spin-echo train imaging of the brain at 3 Tesla: reduced power deposition using low flip-angle refocusing RF pulses. Proceedings of the 9th Annual Meeting of ISMRM; Glasgow, UK. 2001; p. 438. [Google Scholar]
- 53.Busse RF, Hariharan H, Vu A, Brittain JH. Fast spin echo sequences with very long echo trains: Design of variable refocusing flip angle schedules and generation of clinicalT2 contrast. Magn Reson Med. 2006;55:1030–1037. doi: 10.1002/mrm.20863. [DOI] [PubMed] [Google Scholar]
- 54.Lauzon ML, Rutt BK. Effects of polar sampling in k-space. Magn Reson Med. 1996;36:940–949. doi: 10.1002/mrm.1910360617. [DOI] [PubMed] [Google Scholar]
- 55.Block KT, Uecker M. Simple method for adaptive gradient-delay compensation in radial MRI. Proceedings of the 19th Annual Meeting of ISMRM; Montreal, Canada. 2011; p. 2816. [Google Scholar]
- 56.Xue Y, Yu J, Kang HS, Englander S, Rosen MA, Song HK. Automatic coil selection for streak artifact reduction in radial MRI. Magn Reson Med. 2012;67:470–476. doi: 10.1002/mrm.23023. [DOI] [PubMed] [Google Scholar]
- 57.Grimm R, Forman C, Hutter J, Kiefer B, Hornegger J, Block KT. Fast automatic coil selection for radial stack-of-stars GRE imaging. Proceedings of the 21st Annual Meeting of ISMRM; Salt Lake City, Utah. 2013; p. 3786. [Google Scholar]
- 58.Feng L, Chandarana H, Sodickson DK, Otazo R. Unstreaking: radial MRI with automatic streaking artifact reduction. Proceedings of the 25th Annual Meeting of ISMRM; Honolulu, Hawaii. 2017; p. 4001. [Google Scholar]
- 59.Spincemaille P, Liu J, Nguyen T, Prince MR, Wang Y. Z intensity-weighted position self-respiratory gating method for free-breathing 3D cardiac CINE imaging. Magn Reson Med. 2011;29:861–868. doi: 10.1016/j.mri.2011.02.011. [DOI] [PMC free article] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.