Bei Zhang1, Jerahmie Radder2, Andrea Grant2, Russell Lagore2, Matt Waks2, Nader Tavaf2, Pierre-francois Van De Moortele2, Gregor Adriany2, Riccardo Lattanzi3, and Kamil Ugurbil2
1Advanced Imaging Research Center, UTSouthwestern Medical Center, Dallas, TX, United States, 2Center for Magnetic Resonance Research (CMRR), University of Minnesota, Minneapolis, MN, United States, 3Center for Advanced Imaging Innovation and Research (CAI2R), Department of Radiology, New York University Grossman School of Medicine, New York, NY, United States
Synopsis
Idealized analytical electromagnetic (EM) models predict a
spatially non-uniform signal-to-noise-ratio (SNR) gain with increasing coil
elements and magnetic field strength. Using realistic EM models, we calculated
the performance of prototype 32- and 64-channel receive head arrays at 7T and
10.5T using full-wave simulation with a head-mimicking gel phantom. We obtained
SNR and g-factor results in agreement with predictions from ultimate intrinsic
calculations, showing ~2-fold SNR gains for a large central region for 64
channels at 10.5T vs. 7T, and lower g-factors with the higher field and higher
channel counts; peripheral SNR depended on both field magnitude and channel
count.
INTRODUCTION
Analytical
electromagnetic (EM) models had previously revealed that higher signal-to-noise
ratio (SNR) is attained with more coil elements in a radiofrequency (RF) coil
array at ultra-high magnetic fields (1). Analytical simulations,
however, are usually performed for an ideal situation. Our recent work showed
that realistic EM models reflecting or approaching true experimental conditions
are needed to accurately predict the performance of a given coil array at ultra-high
field (2). Therefore, realistic EM models
of dense array prototypes are needed to validate and/or refine the findings from
analytical EM models, even though such simulations are time consuming due to
the fine meshing required for dense arrays. In this work, we simulated 32- and 64-channels
array prototypes based on a previously presented experimental array layout (3), both at 7 Tesla (T) and 10.5T.
We compared the performance in terms of SNR and g-factor (4).METHOD
We used
the 3D computer aided design software SolidWorks (Dassault Systemes SolidWorks
Corp., Concord, Massachusetts) to model the experimental setup, including the
coil frame, the array layout, the RF shield in the system, the gel phantom, and
the location of the gel phantom. We then imported the 3D model file to CST Microwave
Studio (Computer Simulation Technology, CST, Darmstadt, Germany) for EM modeling. The
dielectric properties of the gel phantom were set as εr=47.25, σ=0.646 S/m at 447MHz (1H frequency at 10.5T) and εr=49.56,
σ=0.561 S/m at 297.2MHz (1H frequency at 7T). Fixed capacitors with
the same capacitance as employed in the actual prototype were placed on each
coil element, and 0.5 Ohm was added in each fixed capacitor. Two 50-Ohm ports
were placed on each coil element, one at the location of the variable tuning
capacitor, and the other at the port. Co-simulator in CST was used to tune and
match each coil. To mimic the preamp decoupling effect, one large impedance (2500
Ohm) was placed at the ports of all other coil elements when tuning and
matching an individual coil, and when reconstructing the EM fields. The EM
model and pictures of the 64-channel array prototype are shown in Figure 1. The
modeled coils were numbered in the same order that was used to group the coil
elements in the 64-channel array prototype. Electric and magnetic fields were
exported from CST. The electric fields were employed to calculate the intrinsic
noise correlation matrix, the magnetic fields to calculate the receive coil
sensitivities. The SNR was then estimated at every voxel for an optimal
combination of the coils’ contributions (5,6).RESULT AND DISCUSSION
Figure
2 shows SNR maps of the 7T and 10.5T 64-channel arrays. Going from 10.5T to 7T,
the SNR of the 64-channel array increased 2.2 times in the central region and ~1.5
times in the periphery, which is in close agreement with the corresponding field
dependence of the ultimate intrinsic SNR (uiSNR) (7). The 10.5T versus 7T SNR ratio
was in ~2 fold in most of the brain. Figures 3 and 4 compares the SNR maps of the
64- and 32-channel arrays at 7T and 10.5T, respectively. At 7T, the 64-channel
array had a more symmetrical SNR profile than the 32-channel array, as well as higher
SNR in a narrow peripheral region and slightly lower central SNR, due to the
0.5 Ohm added to each fixed capacitor for soldering and conductive losses. The
SNR drop in the center could further increase after adding noise losses from other
electronic components, such as preamplifiers. At 10.5T, the 64-channel array also
had a more symmetrical SNR profile than the 32-channel array, as well as higher
peripheral SNR. Unlike the 7T case, the central SNR was comparable. Figure 5
shows inverse g-factor maps of all arrays for different acceleration factors. The
10.5T 64-channel array yielded the best acceleration performance. For the same
number of coil elements, the acceleration performance was higher at 10.5T than 7T,
as expected, because the shorter wavelength at higher field strength improves
the encoding capability of the coils. For the same frequency, 64 coils yielded
higher acceleration performance than 32 coils, as expected. We already
completed the construction of the 10.5T 64-channel array and we are in the
process of duplicating it for 7T, in order to compliment simulation comparison presented
here with experimental data.CONCLUSION
In
this work, we use full-wave simulation to compare the performance of 32- and a
64-channel receive head arrays at 7T and 10.5T. Our results, based on realistic
EM modeling, revealed ~2-fold gain (~B02 dependence) over
a large central region and ~1.5 fold gain peripherally (B0 dependence)
for the 64-channel array at 10.5T vs. 7T, in agreement with uiSNR calculations.
Due to noise losses from the electronics, the central SNR was slightly lower
for the 64-channel array compared to the 32-channel array at 7T, but not in the
10.5T case. The best performance in overall SNR and acceleration was provided by
the 10.5T 64-channel array. In conclusion, while SNR gains are possible in a
narrow strip in the periphery at 7T with higher channel counts, obtaining SNR
gains throughout the head requires both higher magnetic field strength and the denser
arrays.Acknowledgements
This
research was funded by U01 EB025144, CPRIT RR180056, NIH BTRC P41 EB027061, NIH
S10 RR029672, NIH R01 EB024536, NIH P41 EB017183 grants.References
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