Gillian G Haemer1,2,3, Nicole Wake1,2,3, Martijn Cloos1,2, Christopher Collins1,2,3, Daniel K Sodickson1,2,3, and Graham C Wiggins1,2
1The Center for Advanced Imaging Innovation and Research (CAI2R), Department of Radiology, New York University School of Medicine, New York, NY, United States, 2The Bernard and Irene Schwartz Center for Biomedical Imaging, Department of Radiology, New York University School of Medicine, New York, NY, United States, 3The Sackler Institute of Graduate Biomedical Sciences, New York University School of Medicine, New York, NY, United States
Synopsis
An alternative
approach for generating a digital model of an RF coil is described that avoids
the use of geometric priors and ensures structural accuracy. This approach is
demonstrated on a helmet-shaped transmit-receive coil, and the resulting
simulations are compared to experimental data.
Introduction
Finite element models
are an invaluable tool for calculating SAR and related safety risks for
transmit/receive radio frequency (RF) coils1-4. However, in order to
ensure safety limits5 are met, precision in the simulation and
accuracy of both the geometry and the resulting fields of the coil must be ensured.
While modeling coils in simulation is straightforward for models with simple
geometric bases, such as cylindrecal or
rectangular conductive elements, etc., more complex geometries can be difficult
to accurately simulate. Here we describe an alternate method for generating a
3D voxelized model of an existing RF coil with a complicated geometry that
guarantees geometric accuracy in simulation.Methods
Previously
an 8-channel transmit-receive coil was designed6 to fit tightly to a
helmet modeled after a European head norm EN960/19947. The RF coil
was built using wire to conform to the helmet, and preliminary testing showed
improvement in both SNR and B1+ efficiency at the center
of the brain with respect to a 1ch transmit, 24ch receive head coil (Nova
Medical, Wilmington MA). However, because of the helmet’s shape, the structure could
not be accurately represented by a combination of simple geometric initials, so
an alternative approach to modeling the coil was developed. A CT scan (Siemens
Biograph mCT, Erlangen Germany) of the completed coil was acquired (140kVp,
525mAs, Pitch 0.35mm, Resolution 0.58x0.58x0.6mm), and the DICOM data was
exported in extended Hounsfield units and loaded into Mimics Medical 19.0
(Materialize, Leuven Belgium) for segmentation. Binary masks for the helmet
former and the coil were derived separately, using the software’s thresholding
algorithm, and manually editing was performed to remove streaking artifacts
caused by capacitors [Figure 1]. Two
volumes, of the former and coil model, were exported to Meshlab (Visual
Computing Laboratory) where the binary voxel data was converted into a
triangular mesh, additional smoothing was performed, and overlap between the
helmet and the coil was removed. The finalized mesh was imported into CST (Microwave
Studio 2014, Darmstadt Germany) in stl format and placed around the Virtual
Family “Duke” model8 [Figure
2]. The mesh was defined with 2x2x2mm3 resolution within the
coil, and meshing was visually evaluated to ensure efficacy of the stl import. Fixed
capacitors were modeled to match those on the constructed coil, while variable
capacitors were adjusted to create a match in coupling parameters between the
coil and the simulation. Bench measurements were performed using a calibrated
network analyzer (Agilent Technologies, E5061A) and a human head load. B1+
profiles for individual coils were analyzed and compared to those acquired in
vivo using Actual Flip Angle Imaging9 and individual channel FLASH
readouts (TR/TE/Flip/Slice/BW = 200ms/4.1ms/85°/4mm/300, FoV192x192x192,
48x48x48)10. Coils were combined using an approximately circularly
polarized mode, by varying phase based on coil position, and peak 10g averaged
SAR in the head was determined.Results
The
model generated from the CT data aligned well with the CT images, and the
resulting stl model of the coil demonstrated a good visual match to the
constructed coil [Figure 2]. The
model of the helmet former provided a guide to ensure that the rotation of the
coil in respect to the bore was accurate. The coupling parameters in simulation
were very closely matched to those found on the bench [Figure 3]. Decoupling on the simulated coil surpasses that of the
original coil for the bottom three coils, numbered 6, 7, and 8, but does not
appear to greatly otherwise affect coil performance. This difference can most
likely be attributed to the increased load on the bottom three coils provided
by the Duke model. The B1+ profiles of the resulting
individual coils matched closely to those found in vivo [Figure 4]. Figure 5
shows a SAR map and corresponding B1+ of a circularly
polarized mode from the simulated model.Conclusions
We described a novel
method to generate an accurate 3D numerical model of an existing coil with
complex geometry for simulation based on a simple CT scan of the coil. The use
of 3D visualization toolboxes and editing software to verify geometry allowed
for a very accurate model of complicated 3D wire trajectories making up the
coil structure. The accuracy of the model was confirmed by the matching of both
coupling parameters and B1+ profiles to those seen
experimentally. This model will be used in future work for safety and
performance evaluation of the constructed coil.Acknowledgements
The Center for Advanced Imaging Innovation and Research (CAI2R, www.cai2r.net) at New York University School of Medicine is supported by NIH/NIBIB grantnumber P41 EB017183.
This work additionally supported by NIH R01 EB021277
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