TONE pulses counteract blood saturation through the imaged slab in TOF sequences, but their ramp profile is hampered by RF inhomogeneities at Ultra High Field. On the other hand, kz-spokes are known to compensate for in-plane B1+ heterogeneities in slice or slab selection. However, their design doesn’t address thru-slab heterogeneities. To address them, a new pulse type called “kT-spokes” is introduced. As TONE pulses, kT-spokes efficacy is demonstrated with pTx at 7T in comparison with mere equivalent kz-spokes.
The conventional spoke method optimizes the (kx, ky)-locations of consecutive selective excitations in the transmit k-space5. In the context of a mere uniform slab excitation, kT-spokes additionally allow the placement of the spoke centers in different (but nearby) kz-locations, thereby relaxing the degree of freedom needed for thru-slab homogenization. This method is equivalent to a kT-points pulse design6 where the target ROI is limited to the slab of interest, and where square subpulses are eventually replaced by kz-spokes, i.e. sinc-like waveforms played along with their selection gradient. Thus the only difference between spokes and kT-spokes is the presence of z-gradient blips in between RF subpulses. In the context of TONE pulses, for both conventional spokes and kT-spokes, the FA ramp profile was obtained by replacing the sinus-cardinal waveform by the inverse Fourier transform of the desired FA ramp. More precisely, the Fourier transform of an apodized sinc with TBW= 10 was multiplied by the latter before transforming it back.
Only triplets of spokes are considered in this study. The pulse design was formulated as a SAR- and power-constrained Magnitude Least Squares problem7 that jointly optimized the magnitude, phase, and placement in transmit k-space of each spoke on every transmit channel8, in the small tip angle approximation. Yet full Bloch equation simulations were run in the end to predict the slab FA maps and compute errors with respect to the desired ramp profile.
Experiments were performed on 5 volunteers (who signed an IRB-approved informed consent) using a MAGNETOM 7T scanner (Siemens Healthcare, Germany) and an 8-Tx/Rx head array (RAPID Biomedical, Germany). B0 and B1-maps of all subject brains were acquired with 5-mm resolution (B1-maps obtained from the XFL sequence9). Prior to the study, the kT-spoke performance was evaluated on a spherical water phantom with the AFI sequence10 to corroborate the FA Bloch simulations (Figure 1).
A FA-ramp from 10° to 30° was targeted with three bipolar spokes of 1 ms each. First, a comparison between conventional spoke and kT-spoke performances was carried out from simulation of the FA maps. Then, for either spoke strategy and only for the 5th subject, the computed composite pulse was integrated into a pTx TOF sequence with the following parameters: TR= 20ms, TE= 4ms, resolution= 0.4x0.4x0.5mm, FOV= 200x200x60mm, GRAPPA= 2, 6/8 partition partial Fourier and TA= 6 min. To evaluate the angiograms, a Maximal Intensity Projection (MIP) was performed on the TOF native images.
The clinically-viable kT-spoke design succeeds in counteracting the B1+ heterogeneities along the z-axis, particularly in wide off-centered slabs as shown here. Moreover this study demonstrates the benefit of FA-ramped kT-spokes for BS compensation at 7T by enhancing distal arteries visualization.
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