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Parallel transmission RF pulse design for simultaneous multi‐slab excitation at 7 Tesla: a simulation study
Xin Shao1, Xiaodong Ma2, Simin Liu1, Kamil Ugurbil2, Hua Guo1, and Xiaoping Wu2
1Center for Biomedical Imaging Research, Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing, China, 2Center for Magnetic Resonance Research, Radiology, Medical School, University of Minnesota - Twin Cities, Minneapolis, MN, United States

Synopsis

It has been reported that combining ultrahigh field (UHF) with 3D imaging is beneficial for high-resolution imaging. Nevertheless, image quality may suffer from increased magnetic field inhomogeneity. Thus, we combined radiofrequency (RF) parallel transmission (pTx) with 3D simultaneous multi-slab (SMSlab) acquisition at 7T to get improved transmit field and optimal SNR efficiency concurrently. By simulation, it was proved that by using a 3-spoke RF pulses we could get 25% more uniform excitation magnitude than 2-spoke pulses (with almost the same RF peak power and identical pulse duration).

Introduction

There has been a rapidly growing interest in pursuing high resolution MRI at ultrahigh field (UHF) owing to promised improvements in SNR, tissue contrast and parallel imaging performances. However at UHF it is necessary to address the challenges of the increased transmit B1 (B1+) inhomogeneity and RF power deposition. One effective solution to these two challenges is to use parallel transmission (pTx)1,2.
Recently, 3D simultaneous multi-slab (SMSlab) imaging has been proposed to increase the SNR efficiency of high-resolution whole-brain diffusion MRI at 3T3,4. The aim of this study was to explore how slab-wise multiband (MB) pTx RF pulses can be designed for 3D SMSlab at 7 Tesla (7T).

Methods

Here, we considered imaging with the commercial Nova 8-channel transmit 32-channel receive coil (Nova Medical Inc.). Calibration data including dB0 maps and 8-channel B1+ maps (Fig. 1) were obtained experimentally from healthy volunteers on a 7T MR scanner (Magnetom DotPlus, Siemens). For each volunteer, we obtained calibration data in 60 axial slices covering the whole brain.
We designed MB multi-spoke pTx pulses for SMSlab image acquisition with a MB factor of 2 (MB2). All pulses were designed using the generalized slab-wise design framework2. Specifically, six contiguous slabs (Fig. 2) were prescribed that jointly covered the brain in the slice direction. For each slab, band-specific (or slab-specific) multi-spoke single-band pTx pulses were designed and the single-band pulses corresponding to the same slab group were used to form the multi-spoke MB pTx pulses. We investigated two ways of using B1+ mapping slices (Fig. 2): one was only using the middle B1+ mapping slice per slab (1 slice-referred design) and the other using three B1+ mapping slices per slab (3 slices-referred design).
We designed both 2- and 3-spoke pTx pulses in the small tip angle regime. The pulse design problem was formulated as a regularized magnitude least square minimization5 and was solved using the variable exchange algorithm.
The gradient waveforms were designed assuming the maximum gradient strength of 80 mT/m and maximum slew rate of 100 T/m/s. The basic RF waveform was Gaussian shaped with TBWP = 4.
For improved excitation performances, the spoke placement in the excitation k-space was optimized by exhaustive search. The total pulse length was kept constant for both 2-spoke and 3-spoke pTx RF pulse designs.
The performances of our MB multi-spoke pTx pulses were compared against those of the single channel transmit circular polarization (CP) mode and single-spoke MB pTx pulse (corresponding to band and channel specific RF shimming).

Results and Discussion

Figure 2 shows the example gradient waveforms and the corresponding MB2 pTx RF pulses designed with 2 and 3 spokes.
The use of our designed multi-spoke MB pTx pulses appeared to improve the excitation uniformity across the brain (Fig. 3) in comparison to either the CP mode or the RF shimming. The multi-spoke pTx pulses designed with a single B1+ mapping slice per slab however did not perform as well as those with three B1+ mapping slices per slab, presenting reduced excitation uniformity near the edge of the target slab.
As expected, pulses designed with 3 spokes outperformed those with 2 spokes, on average reducing the excitation error by ~25%. The 3-spoke pulses designed using three B1+ mapping slices per slab was found to provide the best excitation performance.

Conclusion

This study demonstrates that multi-spoke and multi-slice-referenced pTx RF pulses have achieved satisfactory results in the excitation mode of SMSlab. A detailed comparison between 2-spoke and 3-spoke RF pulses has been made to show that 3-spoke RF pulses have better performance, and its peak amplitude increases only slightly while the pulse duration remains equal to 2-spoke RF pulses.

Acknowledgements

This work was supported in part by the NIH grants NIBIB P41 EB027061 and NIH U01 EB025144.

References

1. Wu XP, Schmitter S, Auerbach EJ, Moeller S, Ugurbil K, Van de Moortele PF. Simultaneous multislice multiband parallel radiofrequency excitation with independent slice-specific transmit B1 homogenization. Magnetic Resonance in Medicine 2013;70(3):630-638.

2. Wu XP, Schmitter S, Auerbach EJ, Ugurbil K, Van de Moortele PF. A Generalized Slab-Wise Framework for Parallel Transmit Multiband RF Pulse Design. Magnetic Resonance in Medicine 2016;75(4):1444-1456.

3. Dai EP, Wu YS, Wu WC, et al. A 3D k-space Fourier encoding and reconstruction framework for simultaneous multi-slab acquisition. Magnetic Resonance in Medicine 2019;82(3):1012-1024.

4. Dai ER, Liu SM, Guo H. High-resolution whole-brain diffusion MRI at 3T using simultaneous multi-slab (SMSlab) acquisition. Neuroimage 2021;237.

5. Setsompop K, Wald LL, Alagappan V, Gagoski BA, Adalsteinsson E. Magnitude least squares optimization for parallel radio frequency excitation design demonstrated at 7 Tesla with eight channels. Magnetic Resonance in Medicine 2008;59(4):908-915.

Figures

Fig. 1. The calibration data used in this study. Experimentally measured dB0 map (A) and 8-channel B1+ maps (B) were obtained in the human brain at 7T using the commercial Nova 8-channel transmit and 32-channel receive RF head coil.


Fig. 2. Pulse design strategy. Slab-wise multiband (MB) pTx pulses were designed by prescribing 6 contiguous slabs (A) that jointly cover the entire brain in the slice direction. Two ways of using B1+ mapping slices (B) were investigated: one is only using the middle B1+ mapping slice per slab (1 slice-referred design) and the other using three B1+ mapping slices per slab.

Fig. 3. Gradients waveforms (A) and the corresponding k-space trajectories (B) for 2- and 3-spoke RF pulse designs. The spokes placements were forced to be symmetric around the origin of the kx-ky plane. Optimal position was found by searching on circles with different radii; the axial and radial steps were 10°and 1 rad/m, respectively. The typical 2- and 3-spoke RF multiband pulses are shown in (C), with different colors representing different channels.

Fig. 4. Comparing the RF performances for different RF pulse design strategies. Shown are Bloch simulated transverse magnetization in 10 representative slices covering the whole brain. Note how the used of pTx multi-spoke RF pulses can improve the excitation uniformity across the brain in comparison to the CP mode or RF shimming.

Proc. Intl. Soc. Mag. Reson. Med. 30 (2022)
3236
DOI: https://doi.org/10.58530/2022/3236