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Free-breathing Isotropic resolution self-Navigated B1-insensitive whOle liver simultaneous T1 and T2 mapping (FINO)
Jonathan K. Stelter1, Kilian Weiss2, Elizabeth Huaroc Moquillaza1, Felix N. Harder1, Marcus R. Makowski1, Rickmer F. Braren1, and Dimitrios C. Karampinos1
1Department of Diagnostic and Interventional Radiology, Technical University of Munich, Munich, Germany, 2Philips Healthcare, Hamburg, Germany

Synopsis

Keywords: Liver, Relaxometry

Volumetric T1 and T2 relaxation mapping is of interest in the characterization of diffuse and oncological liver diseases. Current methods for free-breathing whole-liver relaxation mapping have primarily been optimized to quantify a water-specific T1, are restricted to large voxel sizes in the feet-head-direction, and are not compatible with self-navigation. The present work proposes a novel methodology for Free-breathing Isotropic resolution self-Navigated B1-insensitive whOle-liver simultaneous water-specific T1 and T2 mapping (FINO). Phantom results illustrate the accuracy of the method and in vivo results demonstrate the feasibility of whole-liver water-specific T1 and T2 mapping at an isotropic resolution of 3mm in 6min.

Introduction

Liver T1 and T2 relaxation times have been shown to be promising biomarkers for characterizing and staging of diffuse and oncological liver diseases1,2. Conventional T1 and T2 mapping methods (e.g., Modified Look-Locker inversion recovery (MOLLI) for T1 mapping) usually rely on single-slice acquisitions in combination with breath-holds and may be confounded by the presence of fat. Recently, methods have been proposed to acquire volumetric water-specific T1 maps (T1w) of the whole-liver during a free-breathing acquisition3,4. These methods usually rely on a motion-robust radial stack-of-stars k-space trajectory and perform a respiratory motion-informed reconstruction using an external motion sensor3 or additional MR navigator signals4. It has been also shown that transmit B1 inhomogeneity effects have to be corrected for T1 mapping at 3T5,6,7.
While previous works mainly focus on the quantification of T1w or the simultaneous quantification of T1w, PDFF and R2*, T2 mapping has been shown to be of interest for staging of liver fibrosis2. The combination of T2 mapping with radial stack-of-stars acquisition schemes used for liver T1 mapping relying on a Look-Locker scheme acquiring many inversion contrasts might not be straightforward. Furthermore, the Look-Locker acquisition scheme combined with a stack-of-stars trajectory restricts the resolution in the partition direction and impedes the self-navigation ability of the trajectory due to the varying contrast along kz-projections3.
The present work presents a new methodology for Free-breathing Isotropic resolution self-Navigated whOle-liver simultaneous T1w and T2w mapping (FINO).

Methods

Pulse sequence
The proposed pulse sequence consists of an adiabatic modified BIR-4 preparation pulse8,9 with a variable gap duration between the BIR-4 segments (Tprep) and a variable pulse angle (T2prep with Φ=0° and T1prep with Φ=180°) followed by a two-point bipolar gradient echo stack-of-stars read-out acquiring radial spokes along the partition direction per shot (Fig.1). The delay time between preparation pulse and read-out (Tdelay) and the waiting time between two shots (Twait) are variable per preparation. In total, four different preparations (2xT1prep,2xT2prep) were acquired with Tdelay and Twait optimized using Bloch simulations (Fig.2A). The B1 sensitivity analysis in Fig.2B shows a low T1 and T2 error for the expected liver relaxation parameters within the expected range of B1 inhomogeneities in the liver at 3T5.

Image reconstruction and quantification
A breathing curve was extracted from the IFFT of the k-space center along the partition direction using PCA10 and five different motion states were defined based on the extracted relative displacement. The motion-resolved Homodyne reconstruction was performed in Julia11 solving iteratively and slice-wise the inverse problem:
$$x=\text{argmin}_{x'}||FSx'-y||+\alpha_1||D_tx'||_1+\alpha_2||W_r x'||_1+\alpha_3\sum_b||R_b x'||_*$$
With $$$x$$$ being the complex reconstructed images, $$$y$$$ the multi-coil k-space, $$$F$$$ the nonuniform fast Fourier transform, $$$S$$$ the ESPIRiT coil sensitivity maps12, $$$||D_t x||_1$$$ a total variation regularization in the motion state dimension10, $$$||W_r x||_1$$$ a L1-Wavelet regularization in the spatial dimension13, $$$\sum_b||R_b x||_*$$$ a locally low rank regularization for an image block around pixel $$$b$$$14 and α1/α2/α3=0.1/0.005/0.5. The two echo images of the end-expiration motion state were further processed to decompose water and fat signals and compute a field-map based on a dual echo-adapted multi-resolution graph-cut algorithm15,16. The water images were matched to a B0-specific Bloch-simulated dictionary to generate water-specific T1 and T2 maps (T1=200:15:1500ms,T2=10:1.5:100ms,B0=-300:10:300ms).

Phantom and in vivo measurements
Measurements were performed at 3T (Ingenia Elition, Philips Healthcare) on a water-fat phantom with varying T1 and T2 (Calimetrix, Madison, USA), and six volunteers (FOV=400x400x200mm³, isotropic voxel size=3mm, TR/TE1/TE2=3.8/1.1/2.2ms, 199 or 149 radial spokes per partitions and preparation with a fixed scan time of 8 or 6 min, respectively, FA=8°, partial Fourier factor=3/4, Tshot=500ms, Fig.1). The vendor’s implemented T1 (MOLLI: single slice, voxel size=2x2mm, slice thickness 5mm, breath-hold) and T2 mapping (Gradient And Spin Echo, GRASE: voxel size=3x3mm, slice thickness 3mm, 8 echoes, TR=1641ms, TEs=16:8:64ms, nominal scan time=2min24s, respiratory triggering) sequences were acquired as a imaging reference. Single-voxel magnetic resonance spectroscopy (MRS) was acquired in the phantom (STEAM, VOI=10x10x10mm³, TR=5000ms, TE series: TE=[10,15,20,25,75]ms and TI series: TI=[10,100,500,1500,2500]ms, TE=10ms) and in vivo (STEAM, VOI=15x15x15mm³, breath-hold, TE series: TE=[10,20,30,40,50,100]ms and TR=1500ms, and TI series: TI=[10,800,1500,2300]ms, TE=9.5ms and TR=5000ms). MRS data was processed with ALFONSO17.

Results

Phantom experiments show a good agreement of FINO T1w mapping with MOLLI and MRS (Fig.3). GRASE T2 was considerably higher than FINO T2w and MRS, whereas FINO T2w showed only a slight overestimation compared to MRS at smaller T2w values. Similar trends can be observed for the in vivo results with a slightly larger discrepancy between MOLLI and FINO (Fig.4). Fig.5 presents the reproducibility of the T1w/T2w-maps at two different levels of undersampling.

Discussion

FINO showed a good quantification performance with small deviations compared to the reference. It is known that MOLLI and GRASE quantification could be biased18,19. The acquisition of only a single inversion contrast per preparation allows a higher flexibility in the selection of the feet-head (F/H) resolution, at the cost of some T1-blurring along the F/H axis. The acquisition of only a single inversion contrast per preparation additionally reduces the contrast variation across kz-projections and ensures the possibility to use the self-navigating properties of the stack-of-stars trajectory3.

Conclusion

FINO allows whole-liver T1w and T2w quantification with high accuracy at an isotropic spatial resolution of 3mm in a fixed acquisition time of 6min during free breathing.

Acknowledgements

The present work was supported by the TUM International Graduate School of Science and Engineering (TUM-ICL Joint Academy of Doctoral Studies). The authors also acknowledge research support from Philips Healthcare.

References

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Figures

Fig.1: Schematic overview of the proposed FINO method for T1w and T2w mapping. The pulse sequence uses T1 and T2 preparation pulses with variable pulse duration (Tprep) and a 2-echo bipolar radial gradient echo read-out with variable shot lengths (Twait, Tshot) and delays (Tdelay). The reconstruction and quantification algorithm consists of a self-navigated based motion clustering, a partial Fourier and motion-resolved iterative reconstruction, a dual echo multi-resolution graph-cut algorithm for water-fat separation and a dictionary matching-based T1w/T2w-mapping.

Fig.2: Optimization of Tdelay and Twait with regard to the T1 and T2 error as well as acquisition time using Bloch simulations for B1=[75, 100, 125]% in (A). The simulated signal was matched with the simulated dictionary to estimate T1 and T2. In (B), a B1 sensitivity analysis shows the expected error in T1 and T2 due to B1 in dependence of the relaxation parameters indicating a B1-insensitive quantification for the whole range of observed B1 inhomogeneities in the liver5 (expected liver relaxation parameters marked with a black box).

Fig.3: Phantom results for a water-fat phantom with varying T1 and T2. FINO T1w mapping shows a good agreement with MOLLI and MRS. The comparison of FINO without water-fat decomposition of the preparation images (FINO T1) shows that high errors may be caused even at low fat fractions. For T2 mapping, FINO T2w can substantially reduce the overestimation of GRASE compared to MRS with a deviation smaller than 7ms.

Fig.4: In vivo results for six volunteers. Fat-suppressed water images for each preparation and the field-map are shown in (A) and are used for dictionary matching to estimate FINO T1w/T2w maps. The quantitative maps and reference images from MOLLI and GRASE are presented in (B). ROIs in the liver, spleen and muscle have been evaluated in all volunteers to compare FINO T1w with MOLLI showing slightly lower values for T1w in comparison with MOLLI. FINO was further compared with MRS STEAM TE and TI series, and GRASE in ROIs in the liver showing comparable results to the phantom experiments.

Fig.5: Reproducibility of FINO in two volunteers with a different degree of radial undersampling. The analysis suggests the possibility to decrease the scan time to 6 minutes, especially with regard to the low error of the T2w estimate. ROIs were evaluated in the liver, spleen and muscle with the lowest T1w and T2w error for the ROIs in the liver.

Proc. Intl. Soc. Mag. Reson. Med. 31 (2023)
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DOI: https://doi.org/10.58530/2023/0060