Design of universal parallel-transmit refocusing kT-point pulses and application to 3D T2-weighted imaging at 7T
Vincent Gras
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Search for more papers by this authorAlexandre Vignaud
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Search for more papers by this authorAlexis Amadon
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Search for more papers by this authorDenis Le Bihan
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Search for more papers by this authorTony Stöcker
German Center for Neurodegenerative Diseases (DZNE), Bonn, Germany
Search for more papers by this authorCorresponding Author
Nicolas Boulant
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Correspondence to: Nicolas Boulant, Ph.D., CEA Saclay, 91191 Gif sur Yvette Cedex, France. E-mail: [email protected]Search for more papers by this authorVincent Gras
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Search for more papers by this authorAlexandre Vignaud
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Search for more papers by this authorAlexis Amadon
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Search for more papers by this authorDenis Le Bihan
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Search for more papers by this authorTony Stöcker
German Center for Neurodegenerative Diseases (DZNE), Bonn, Germany
Search for more papers by this authorCorresponding Author
Nicolas Boulant
CEA, DRF, Joliot, NeuroSpin, Unirs, CEA Saclay, Gif sur Yvette, France
Correspondence to: Nicolas Boulant, Ph.D., CEA Saclay, 91191 Gif sur Yvette Cedex, France. E-mail: [email protected]Search for more papers by this authorAbstract
Purpose
T2-weighted sequences are particularly sensitive to the radiofrequency (RF) field inhomogeneity problem at ultra-high-field because of the errors accumulated by the imperfections of the train of refocusing pulses. As parallel transmission (pTx) has proved particularly useful to counteract RF heterogeneities, universal pulses were recently demonstrated to save precious time and computational efforts by skipping B1 calibration and online RF pulse tailoring. Here, we report a universal RF pulse design for non-selective refocusing pulses to mitigate the RF inhomogeneity problem at 7T in turbo spin-echo sequences with variable flip angles.
Method
Average Hamiltonian theory was used to synthetize a single non-selective refocusing pulse with pTx while optimizing its scaling properties in the presence of static field offsets. The design was performed under explicit power and specific absorption rate constraints on a database of 10 subjects using a 8Tx-32Rx commercial coil at 7T. To validate the proposed design, the RF pulses were tested in simulation and applied in vivo on 5 additional test subjects.
Results
The root-mean-square rotation angle error (RA-NRMSE) evaluation and experimental data demonstrated great improvement with the proposed universal pulses (RA-NRMSE ∼8%) compared to the standard circularly polarized mode of excitation (RA-NRMSE ∼26%).
Conclusion
This work further completes the spectrum of 3D universal pulses to mitigate RF field inhomogeneity throughout all 3D MRI sequences without any pTx calibration. The approach returns a single pulse that can be scaled to match the desired flip angle train, thereby increasing the modularity of the proposed plug and play approach. Magn Reson Med 80:53–65, 2018. © 2017 International Society for Magnetic Resonance in Medicine.
Supporting Information
Additional Supporting Information may be found in the online version of this article.
Filename | Description |
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mrm27001-sup-0001-suppinfo01.avi3.8 MB | Video S1. Comparison of the CP mode and the UP mode for the T2-weighted SPACE sequence. The video provides a comparison of the CP mode (left image) and the UP mode (right image) for the T2-weighted SPACE sequence for subjects 1–5. The introduction of UPs allows restoring the signal and the contrast in all brain areas where the CP mode often fails (i.e., the cerebellum, occipital lobe, and left and right temporal lobes). |
mrm27001-sup-0002-suppinfo02.docx189.9 KB | Fig. S1. Simulations of the T2-weighted SPACE signal taking into account pulse imperfections. Retrospective control of (a) the transmit field map of the CP mode, (b) the SPACE signal for the CP mode, and (c) the SPACE signal obtained with the universal pulses. The SPACE signal simulations consist in (1) computing in each voxel the exact propagator of all pulses (90° excitation and refocusing pulses, i.e., ETL+1 pulses) and (2) reproducing in each voxel the nominal signal calculation of Mugler et al. (23) while taking the exact rotation matrices instead of the idealized ones for the pulse propagators. For simplicity, the signal was taken as the echo amplitude at the k-space origin. The maximum of the CP mode transmit field is noticeably higher for subject 2 (0.21 µT/V) that for the other subjects (∼0.18 µT/V). The SPACE signal simulation of the CP mode confirms the pronounced signal dropout in the midbrain in subject 2, which disappears with the application of UPs. |
Please note: The publisher is not responsible for the content or functionality of any supporting information supplied by the authors. Any queries (other than missing content) should be directed to the corresponding author for the article.
REFERENCES
- 1 Katscher U, Börnert P, Leussler C, van den Brink JS. Transmit SENSE. Magn Reson Med 2003; 49: 144–150.
- 2 Cloos MA, Boulant N, Luong M, Ferrand G, Giacomini E, Hang MF, Wiggins CJ, Le Bihan D, Amadon A. kT-points based inversion pulse design for transmit-sense enabled MP-RAGE brain imaging at 7 T. In Proceedings of the 20th Annual Meeting of ISMRM, Melbourne, Australia, 2012. p. 634.
- 3 Cloos MA, Boulant N, Luong M, Ferrand G, Giacomini E, Hang MF, Wiggins CJ, Bihan DL, Amadon A. Parallel-transmission-enabled magnetization-prepared rapid gradient-echo T1-weighted imaging of the human brain at 7T. Neuroimage 2012; 62: 2140–2150.
- 4 Gras V, Vignaud A, Mauconduit F, Luong M, Amadon A, Le Bihan D, Boulant N. Signal-domain optimization metrics for MPRAGE RF pulse design in parallel transmission at 7 tesla: signal-domain optimization metrics for MPRAGE RF pulse design. Magn Reson Med 2016; 76: 1431–1442.
- 5 Massire A, Vignaud A, Robert B, Le Bihan D, Boulant N, Amadon A. Parallel-transmission-enabled three-dimensional T2-weighted imaging of the human brain at 7 Tesla. Magn Reson Med 2015; 73: 2195–2203.
- 6 Eggenschwiler F, O'Brien KR, Gruetter R, Marques JP. Improving T2-weighted imaging at high field through the use of kT-points. Magn Reson Med 2014; 71: 1478–1488.
- 7 Wu X, Schmitter S, Auerbach EJ, Moeller S, Uğurbil K, Van de Moortele PF. Simultaneous multislice multiband parallel radiofrequency excitation with independent slice-specific transmit B1 homogenization: simultaneous multislice parallel RF excitation. Magn Reson Med 2013; 70: 630–638.
- 8 Tse DHY, Wiggins CJ, Poser BA. High-resolution gradient-recalled echo imaging at 9.4T using 16-channel parallel transmit simultaneous multislice spokes excitations with slice-by-slice flip angle homogenization. Magn Reson Med 2017; 78: 1050–1058.
- 9 Gras V, Vignaud A, Amadon A, Mauconduit F, Le Bihan D, Boulant N. In vivo demonstration of whole-brain multislice multispoke parallel transmit radiofrequency pulse design in the small and large flip angle regimes at 7 tesla: joint multislice multispoke pulse design. Magn Reson Med 2017; 78: 1009–1019.
- 10 Eichfelder G, Gebhardt M. Local specific absorption rate control for parallel transmission by virtual observation points. Magn Reson Med 2011; 66: 1468–1476.
- 11 Lee J, Gebhardt M, Wald LL, Adalsteinsson E. Local SAR in parallel transmission pulse design. Magn Reson Med 2012; 67: 1566–1578.
- 12 Graesslin I, Homann H, Biederer S, Börnert P, Nehrke K, Vernickel P, Mens G, Harvey P, Katscher U. A specific absorption rate prediction concept for parallel transmission MR. Magn Reson Med 2012; 68: 1664–1674.
- 13 de Greef M, Ipek O, Raaijmakers AJE, Crezee J, van den Berg CAT. Specific absorption rate intersubject variability in 7T parallel transmit MRI of the head. Magn Reson Med 2013; 69: 1476–1485.
- 14 Le Garrec M, Gras V, Hang MF, Ferrand G, Luong M, Boulant N. Probabilistic analysis of the specific absorption rate intersubject variability safety factor in parallel transmission MRI: probabilistic analysis of specific absorption rate intersubject variability. Magn Reson Med 2017; 78: 1217–1223
- 15 Fautz HP, Vogel MH, Gross P, Kerr A, Zhu Y. B1 mapping of coil arrays for parallel transmission. In Proceedings of the 16th Annual Meeting of ISMRM, Toronto, Canada, 2008. p. 1247.
- 16 Nehrke K, Börnert P. DREAM—a novel approach for robust, ultrafast, multislice B1 mapping. Magn Reson Med 2012; 68: 1517–1526.
- 17 Brenner D, Stirnberg R, Pracht E, Stöcker T. Rapid MRI system calibration using 3DREAM. In Proceedings of the 23rd Annual Meeting of ISMRM, Toronto, Canada, 2015. p. 491.
- 18 Hoyos-Idrobo A, Weiss P, Massire A, Amadon A, Boulant N. On variant strategies to solve the magnitude least squares optimization problem in parallel transmission pulse design and under strict SAR and power constraints. IEEE Trans Med Imaging 2014; 33: 739–748.
- 19 Gras V, Vignaud A, Amadon A, Le Bihan D, Boulant N. Universal pulses: a new concept for calibration-free parallel transmission. Magn Reson Med 2017; 77: 635–643.
- 20 Gras V, Boland M, Vignaud A, Ferrand G, Amadon A, Mauconduit F, Bihan DL, Stöcker T, Boulant N. Homogeneous non-selective and slice-selective parallel-transmit excitations at 7 Tesla with universal pulses: a validation study on two commercial RF coils. PLoS One 2017; 12:e0183562.
- 21 Gras V, Boland M, Vignaud A, Ferrand G, Amadon A, Mauconduit F, Le Bihan D, Stöcker T, Boulant N. Homogeneous non-selective and slice-selective parallel-transmit excitations at 7 Tesla with universal pulses: a validation study on two commercial RF coils. PloS One 2017; 12:e0183562.
- 22 Hennig J, Nauerth A, Friedburg H. RARE imaging: a fast imaging method for clinical MR. Magn Reson Med 1986; 3: 823–833.
- 23 Mugler JP. Optimized three-dimensional fast-spin-echo MRI. J Magn Reson Imaging 2014; 39: 745–767.
- 24 Visser F, Zwanenburg JJ, Hoogduin JM, Luijten PR. High-resolution magnetization-prepared 3D-FLAIR imaging at 7.0Tesla. Magn Reson Med 2010; 64: 194–202.
- 25 Madelin G, Oesingmann N, Inglese M. Double inversion recovery MRI with fat suppression at 7 Tesla: initial experience. J Neuroimaging 2010; 20: 87–92.
- 26 van der Kolk AG, Zwanenburg JJ, Brundel M, Biessels GJ, Visser F, Luijten PR, Hendrikse J. Intracranial vessel wall imaging at 7.0-T MRI. Stroke 2011; 42: 2478–2484.
- 27 Saranathan M, Tourdias T, Kerr AB, Bernstein JD, Kerchner GA, Han MH, Rutt BK. Optimization of magnetization-prepared 3-dimensional fluid attenuated inversion recovery imaging for lesion detection at 7 T. Invest Radiol 2014; 49: 290–298.
- 28 Fortunato EM, Pravia MA, Boulant N, Teklemariam G, Havel TF, Cory DG. Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing. J Chem Phys 2002; 116: 7599–7606.
- 29 Sbrizzi A, Hoogduin H, Hajnal JV, van den Berg CAT, Luijten PR, Malik SJ. Optimal control design of turbo spin-echo sequences with applications to parallel-transmit systems: optimal control of TSE sequences. Magn Reson Med 2017; 77: 361–373.
- 30 Haeberlen U, Waugh JS. Coherent averaging effects in magnetic resonance. Phys Rev 1968; 175: 453.
- 31 Warren WS. Effects of arbitrary laser or NMR pulse shapes on population inversion and coherence. J Chem Phys 1984; 81: 5437–5448.
- 32 Pauly J, Nishimura D, Macovski A. A k-space analysis of small-tip-angle excitation. 1969. J Magn Reson 1989; 81: 43–56.
- 33 Boulant N, Hoult DI. High tip angle approximation based on a modified Bloch–Riccati equation. Magn Reson Med 2012; 67: 339–343.
- 34 Levitt MH. Symmetry in the design of NMR multiple-pulse sequences. J Chem Phys 2008; 128: 52205.
- 35 Pruessmann KP, Golay X, Stuber M, Scheidegger MB, Boesiger P. RF Pulse concatenation for spatially selective inversion. J Magn Reson 2000; 146: 58–65.
- 36 Grissom W, Yip C, Zhang Z, Stenger VA, Fessler JA, Noll DC. Spatial domain method for the design of RF pulses in multicoil parallel excitation. Magn Reson Med 2006; 56: 620–629.
- 37 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. Magn Reson Med 2008; 59: 908–915.
- 38 Amadon A, Cloos MA, Boulant N, Hang MF, Wiggins CJ, Fautz HP. Validation of a very fast B1-mapping sequence for parallel transmission on a human brain at 7T. In Proceedings of the 20th Annual Meeting of ISMRM, Melbourne, Australia, 2012. p. 3358.
- 39 Gras V, Luong M, Amadon A, Boulant N. Joint design of kT-points trajectories and {RF} pulses under explicit {SAR} and power constraints in the large flip angle regime. J Magn Reson 2015; 261: 181–189.