Léo Van Damme1,2, Frank Mauconduit2, Thomas Chambrion1,3, Nicolas Boulant2, and Vincent Gras2
1Institut Elie Cartan, Université de Lorraine, Vandoeuvre-lès-Nancy, France, 2Neurospin, CEA Saclay, Gif-sur-Yvette, France, 3INRIA Nancy Grand Est, Vandœuvre, France
Synopsis
Parallel transmission is a promising technology
in high field MRI to mitigate the RF field inhomogeneity problem. In that
context, the so-called Universal kT-point technique proves useful to achieve uniform
spin excitation at no cost in terms of radio-frequency field calibration, although
localized artefacts can occasionally appear due to the presence of very large
resonance frequency offsets. By exploring more general RF pulse and magnetic
field gradient waveforms than kT-points, this work introduces time-minimized
universal pulses presenting better broadband behavior. In-vivo acquisitions on
5 volunteers at 7T have been performed to demonstrate the improvements.
Introduction
Parallel
transmission (pTX) together with the universal pulse (UP) approach have
demonstrated their potential to counteract the RF field inhomogeneity problem in high field head MRI with no need for
subject-based calibration1,2. A package called PASTEUR3 exploiting
kT-point UPs4, and providing MPRAGE, SPACE, FLAIR, DIR and GRE 3D sequences
has been developed to enable 7T MRI brain examinations with greatly improved excitation
uniformity as compared to the standard CP excitation mode. However, due to the presence of very large
resonance offsets, especially in the vicinity of air tissue interfaces, the kT-point
approach is not entirely immune to localized off-resonance-induced artefacts
(e.g. at the sinus). It is proposed in this work to switch to a more general pulse
design approach based on the Gradient Ascent Pulse Engineering (GRAPE) technique5,
whereby the RF and gradient waveforms are both applied and optimized simultaneously. That approach suppresses the time needed for the gradient blips of kT-point
pulses, and allows boosting the bandwidth of the
pulses. These pulses are thus referred here as Time Optimized Pulses (TOP). The
superior performance is illustrated with Bloch simulations and in vivo
experiments on 5 volunteers at 7T.Method
All acquisitions were performed on a 7T Siemens (Siemens
Healthcare, Erlangen, Germany) equipped with the Step 2.3 pTX hardware and the
Nova (Nova Medical, Wilmington, MA, USA)
8Tx-32Rx head coil. Universal TOPs were designed on the database of 20 brain field maps (ΔB0 and transmit B1 maps) used
for PASTEUR. Our GRAPE implementation consists in discretizing the RF and
gradient waveforms with small time steps (10 µs) and optimizing the value of
the RF and gradient waveforms at all times using the second order
Active-set algorithm of Matlab optimization toolbox. Explicit constraints were
added to ensure that the solution satisfied the peak amplitude (165 V
per TX channel), average power (1.5 W per channel and 8 W total), gradient slew
rate (180 mT/m/ms) and gradient maximum amplitude (40 mT/m) constraints. The
Flip Angle Normalized Root Mean Square Error (FA-NRMSE) was used as the objective function to minimize. For
comparison with the PASTEUR kT-point UPs, the objective was to
design TOPs that reach approximately the same FA-NRMSE as their kT-point
counterparts but with minimum pulse duration. Firstly, Bloch simulations were performed on one
subject field map to study the potential time gain. Then, a total of 7 universal pulses were optimized. The first 3 were
scalable small FA pulses and were suitable to create uniform excitations with a
FA up to 8°, 20° and 60°. The 8° TOP was designed for the MPRAGE and the GRE sequences
while the others were incorporated in the GRE sequence only. A scalable 105°
pulse was also designed in order to make a refocusing pulse train of variable
flip angles for SPACE, FLAIR and DIR sequences7. The FLAIR sequence
included a T2-preparation module that contained 90° and 180° pulses, whereby
the 180° was simply obtained by concatenation of twice the 90° TOP°6.
An additional inversion pulse was designed for the MPRAGE and the DIR sequences. The
MPRAGE, SPACE, FLAIR and DIR sequences were applied on 5 healthy volunteers with
the kT-points and with the TOPs in order to compare the two
methods.Results
The TOPs were 31% to 57%
shorter than the kT-points of the PASTEUR package, with similar
FA-NRMSE, as shown in Table 1. Fig. 1 shows, for the kT-point pulse
parameterization and for the TOPs, the FA-NMRSE dependence with the pulse
duration T evaluated on one field map. Fig. 2 illustrates, for one MPRAGE
acquisition with the kT-point UP, the occasional artefacts and the co-localized
large B0 offsets causing a lack of efficiency in the sinuses, the pons and the cerebellum.
Fig. 3
shows the results of the MPRAGE, SPACE, FLAIR and DIR sequences for both the
TOPs and kT-points for one subject, showing good RF inhomogeneity
mitigation in general for both cases. Fig.
4 emphasizes the gains obtained with the TOPs versus the kT-points
with the MPRAGE and the DIR sequences, showing a great reduction of the occasionally
remaining artefacts thanks to the decreased durations of the TOPs.
Conclusion
We have presented a new
application of the GRAPE technique to design non-selective UPs reducing pulse
duration, at no expense in global FA homogeneity while still satisfying the
same power limits. The larger bandwidth of TOPs as compared to kT-points allows
improving the quality of the spin excitation at the locations of strong
off-resonance offsets. In the current implementation, designing TOPs is computationally
much more extensive than designing kT-points but this is not regarded as a
major issue as long as universal solutions are targeted. For the inversion pulse used in MPRAGE
and DIR, it appears that the frequency bandwidth of the pulse is still too low to completely remove the susceptibility artefacts.
Decreasing further the duration would impose increasing the NRMSE.
Alternatively, other metrics could be used to attempt increasing the pulse
bandwidth locally where large off-resonances occur. Acknowledgements
This research has received
funding from the ANR project QUACO (QUAntum COntrol: PDE systems and MRI
applications) PRC ANR-17-CE40-0007-01, and the ERPT equipment program of the Leducq Foundation.References
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