Xin Shen1, Ali Caglar Özen2, Antonia Sunjar1, Serhat Ilbey2, Riyi Shi1,3, Mark Chiew4, and Uzay Emir1,5
1Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, United States, 2Department of Radiology, Medical Physics, University of Freiburg, Freiburg, Germany, 3College of Veterinary Medicine, Purdue University, West Lafayette, IN, United States, 4Wellcome Centre for Integrative Neuroimaging, University of Oxford, Oxford, United Kingdom, 5Health Science Department, Purdue University, West Lafayette, IN, United States
Synopsis
This study aimed
to develop a new 3D dual-echo rosette k-space trajectory, specifically for applications
of ultra-short echo time (UTE) magnetic resonance imaging (MRI). The direct
imaging of the myelin bilayer, which has ultra-short transverse relaxation time
(uT2), was acquired to test the performance of the proposed UTE
sequence. The rosette trajectory was developed based on rotations of a
‘petal-like’ pattern in the kx-ky plane, with oscillated
extensions in kz-direction for 3D coverage. The higher uT2
fraction value in white matter (WM) compared to grey matter (GM) demonstrated
the ability of the proposed sequence to capture rapidly decaying signals.
Introduction
Myelin
constituents are water and dry mass, in which the dry mass is composed of about
80% lipids and 20% protein1. Since transverse relaxation of the
lipid proton signal becomes shorter in this geometrically restricted
environment, T2 values vary from a few microseconds to milliseconds,
where 75% of the myelin lipid signal manifests T2 values below 100 μs2.
Thus, conventional MRI sequences with echo times (TEs) in the order of milliseconds or longer
can hardly capture the rapid signal decay of the lipid bilayer. On
the other hand, ultra-short echo time (UTE) MRI3 sequences are capable of acquiring data
with TE in the order of microseconds (μs), which can provide images of tissues
with ultra-short T2 directly.
For UTE
sequences, the readout gradients are applied immediately after the completion
of the RF pulses. Therefore, to achieve minimum possible TE, each data
acquisition in UTE sequences needs to follow a center-out trajectory. The most
common k-space trajectory used in UTE MRI applications is a 3D radial center-out
readout. However, sampling the outer k-space with a radial pattern may not be
efficient4. Rosette k-space trajectories, which allow a center-out sampling
pattern while providing more samples in the outer k-space per spoke than radial
trajectories, are also potential candidates for 3D UTE MRI. However, to date, 3D
rosette k-space patterns have not yet been demonstrated in UTE applications.
This study aimed
to develop a new 3D dual-echo rosette k-space trajectory, specifically for applications
of UTE MRI. The direct imaging of the myelin bilayer, which has ultra-short
transverse relaxation time (uT2), was acquired to test the
performance of the proposed UTE sequence.Methods
The following
equations define the 3D rosette k-space trajectory5:
Kxy(t)=Kx(t)+i*Ky(t)=(Kmax*cos(φ))*sin(ω1*t)*eiω2t+β
Kz(t)=(Kmax*sin(φ))*sin(ω1*t)
where Kmax is the maximum extent
of k-space, ω1 is the frequency of
oscillation in the radial direction, ω2 is the frequency of
rotation in the angular direction, φ determines the
location in the z-axis, and β determines the
initial phase in the angular direction.
In Figure 1A, a rosette
trajectory is shown for the specific case where ω1 and ω2 are set to be equal. With
a manual separation at the middle of each data readout, dual-echo images can be
achieved within a single acquisition (Figure 1A and 1B). TE values are separately
determined by the time of two crossings of the k-space origin. The gradients of
one petal trajectory are shown in Figure 1B.
Five healthy
volunteers were recruited and underwent ten dual-echo rosette UTE scans at
varied echo times (TEs)
with a whole-body 3T MRI scanner (Siemens
Healthineers, Erlangen, Germany). The
parameters for the UTE acquisition were: Kmax=250/m, ω1=ω2=1.611 kHz, number of total petals= 36100, samples per
petal=210, φ was sampled uniformly in the
range of [-π/2, π/2], and β was sampled uniformly in
the range of [0,2π], field of
view (FOV)=240x240x240 mm3, matrix size=120x120x120, readout dwell
time=10 μs, flip angle=7-degree, TR=7 ms, readout duration=2.1 ms. Ten
repeated dual-echo UTE scans were performed with varied TEs. A compressed
sensing approach was used for image reconstruction, using total generalized
variation (TGV) as the sparsifying penalty 6. Dual-exponential
model fitting was performed to separate uT2 signals, with the output
of uT2 fraction, uT2 value and long T2 value.Results
In Figure 2A,
brain image slices from a volunteer are shown for five representative TEs, 20 μs, 100 μs, 2.1 ms, 2.4 ms, and 3.6 ms. The reconstructed images’ signal
contrast between white matter (WM) and grey matter (GM) increased with longer
TEs. Figures 2B and 2C show the differences in signal decay between WM (Figure 2B)
and GM (Figure 2C).
Figure 3 shows
the mean uT2 fraction map (Figure 3A), the mean ultra-short T2
value map (Figure 3B), and the mean long T2 value map (Figure 3C) in
MNI-152 space. The uT2 fraction map (Figure 3A) indicated a generally
homogeneous uT2 fraction among voxels in WM, which is higher than
the uT2 fraction among voxels in GM (10.9%±1.9% vs. 5.7%±2.4%). The ultra-short T2 value in WM was around 0.12
ms, and the ultra-short T2 value in GM was slightly faster than WM
(0.08 ms). The long T2 components T2 value map indicated
an increased T2 value across GM and the cerebrospinal fluid (CSF) compared to the WM,
which is in line with previous literatures7,8.Discussion
The advantages
of the rosette k-space design included: 1) increased sampling density in the
outer k-space; 2) shorter TE due to the gradient design without ramp-up time;
3) a smooth transition between the two echoes in dual-echo acquisition. A
statistically significantly higher uT2 fraction value was found in
WM compared to GM. In addition, the uT2 fraction value was homogeneously
distributed among WM voxels. However, the influence of iron content9 and other macromolecules10 was not ruled out, which led a future research direction.Conclusion
This study
proposed a novel 3D rosette k-space trajectory, specifically for UTE
applications. The higher uT2 fraction value in WM compared to GM demonstrated
the ability of this sequence to capture rapidly decayed signals. In addition,
the fitting based on the dual-exponential model provided quantitative results
of the uT2 fraction, which could be used for myelination assessment
in the future. Acknowledgements
Data acquisition was
supported in part by NIH grant S10 OD012336. This project supported by an award
from the Ralph W. and Grace M. Showalter Research Trust.References
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