Luis Hernandez-Garcia1, Jon-Fredrik Nielssen2, and Douglas Noll1
1FMRI Laboratory, University of Michigan, Ann Arbor, MI, United States, 2Biomedical Engineering, University of Michigan, Ann Arbor, MI, United States
Synopsis
We introduce a
class of adiabatic RF pulses that can invert the magnetization of spins moving
at specific velocity bands, regardless of their position within the coil. Velocity selective adiabatic pulses (VSAI) are more
robust to B1 inhomogeneity than their non-adiabatic counterparts. We discuss
the theory and design considerations and demonstrate their utility in an ASL
experiment on a human brain at 3T.Introduction
ASL is a powerful
technique to image perfusion without the injection of tracers. A
challenge in ASL is the effect of the bolus arrival time variability on the
observed signals. Velocity selective ASL (VSASL) has been shown to
dramatically reduce the sensitivity to bolus arrival time [1]. However,
saturation labeling gives up half of the contrast because magnetization of the
arterial water is saturated, rather than inverted.
Velocity
selective inversion (VSI) pulses, on the other hand, could produce nearly
twice as much contrast in the magnetization. Recent work has demonstrated
the feasibility of VSI pulses, but these are very sensitive to B0 and B1
homogeneity [2].
In this article,
we develop, optimize and test a new approach to VSI that inverts the
magnetization of adiabatically, as long as they are moving within a specific
velocity band. A major advantage of adiabatic pulses is that they are known to be significantly more robust to B1 inhomogeneity.
Methods
Consider a hyperbolic secant
adiabatic pulse that is broken up into multiple small segments. Velocity
selectivity can be achieved by introducing a bipolar pair of gradients (Gv)
between the RF pulse segments, whose phase is incremented linearly from pulse
to pulse. The phase increment is calculated to match the quadratic phase
gain that is experienced by the spins traveling at a specific velocity in the
presence of the bipolar pair.
The
magnetization “tracks” the effective field, provided that the sweep
rate maintains the adiabatic condition [3]. Spins that do not match that
velocity (and therefore that phase gain) cannot “lock on” to the effective
field and do not achieve adiabatic inversion. Thus, one can achieve
velocity selective adiabatic inversion (VSAI) pulses that invert only those
spins moving at the target velocity while having negligible effect on the
magnetization of the spins outside the velocity range.
In order to characterize the
properties of the VSAI pulses, we simulated the magnetization vector of an
isochromat moving at a constant velocity under multiple VSAI pulse design
parameters. Unless otherwise specified, we used Ns = 32 segments, max. B1
amplitude = 200 mG, B1 sweep width = 500 Hz, bipolar gradient duration = 2 ms
(two 1ms lobes), gradient amplitude = 3.5 G/cm, target velocity = 0 cm/s
(i.e., =0). In all cases, we obtained velocity selectivity profiles for each
VSI pulse by repeating the simulation at different velocities of the isochromat
from -50 to 50 cm/s.
We investigated the effects of
(1) the number of segments (Ns) from a single pulse to 32 segments (2) RF
pulses’ maximum amplitude (0 – 300 mG) and sweep widths (250 Hz – 1000 Hz).
(3) the bipolar gradient’s amplitude by from 0 to 4 G/cm.
We then tested a 32 segment
VSAI pulse in an ASL experiment on two human participants with a 3T scanner (GE MR750). The Labeled image
was preceded by a VSAI pulse targeting velocity=0, and the Control image was
non-velocity selective (no velocity selective gradients). The difference
between images results from the uninverted moving spins in the arteries as they
move into the tissue during a post labeling delay. We collected a label
uptake curve by incrementing the post labeling delay from 50 to 2000 sec.
Image acquisition consisted of a single shot spiral sequence with FOV=24
cm, matrix = 64 x 64, BW = 85 kHz, sl. th. = 6 mm.
Results
Figure 1 shows
the velocity profile of two such pulse trains targeting 0 and 20 cm/s. The
simulations in figures 2-4 indicate that the velocity bandwidth is
largely affected by the number of segments, bipolar gradient amplitude and
duration, and the sweep width of the original adiabatic pulse. The
simulations confirm that VSAI pulses are very stable over a wide range of B1
amplitudes (figure 5) .
The human data
(figure 6) show a uptake curve typical of a pulsed ASL experiment, and
consistent with tracer kinetic models. The early points in the uptake,
however, are significantly affected by eddy currents induced by the velocity
selective bipolar gradients. These artefacts are largely absent beyond 500 ms.
Discussion
This work demonstrates
that VSAI pulses are potentially very useful for ASL. They are very
stable over a wide range of B1 amplitudes, thus achieving spatially uniform
labeling efficiency. Further research is currently under way to characterize
sensitivity to off-resonance, optimize the pulses in terms of their velocity
selectivity , power deposition, and to reduce eddy currents.
Acknowledgements
No acknowledgement found.References
[1] E. C. Wong,
M. Cronin, W.-C. Wu, B. Inglis, L. R. Frank, and T. T. Liu, “Velocity-selective
arterial spin labeling.,” Magn. Reson. Med., vol. 55, no. 6, pp. 1334–1341,
2006.
[2] Q. Qin
and P. C. M. van Zijl, “Velocity-selective-inversion prepared arterial spin
labeling,” Magn. Reson. Med., vol. 00, p. n/a–n/a, 2015.
[3] A.
Tannús and M. Garwood, “Adiabatic pulses,” NMR Biomed., vol. 10, no. 8, pp.
423–434, 1996.