Synopsis
Long implanted wires, such as deep brain stimulation (DBS) implants, are
subject to radiofrequency (RF) heating during MRI. In previous work, RF shimming was used to
tailor the electric and magnetic fields creating optimal excitation and minimal
heating in a uniform cylindrical medium with a single, straight, implanted copper
wire at 3T. This work extends the
methodology to a complex, heterogeneous head model with one or two implanted,
curved copper wire(s). A substantial
improvement in both B1+-field homogeneity and E-field
reduction is achieved when compared with a transmit/receive birdcage coil in
both the single wire and bilateral wire case.Introduction:
Deep brain stimulation (DBS) implants consist of long, electrically
conductive leads which inject current into specific regions of the brain to
treat various neurological disorders
1. MRI is important for surgical
planning and post-procedure monitoring of patients that undergo DBS
2. However, DBS leads can cause local heating
during MRI due to coupling of the long wires with the radiofrequency (RF)
excitation, placing severe limits on imaging protocols
3. Significant heating reductions have been
obtained via parallel RF transmission (pTx) in a proof of concept study
4. Here, we extend this pTx approach to improve
computation time and investigate more realistic biophysical geometry, including
a complex head model and bilateral curved implanted wires, as the next step
towards a future clinical implementation at 3T.
Theory & Methods:
This work implements RF shimming, a type of pTx that reduces complexity
and cost by implementing a constant amplitude and phase shift for each pTx
channel instead of time-varying amplitude and phase shifts. In
this case, RF shimming is performed to produce the minimum electric (E) field
within a specified region and the maximum transmit RF magnetic field (B
1+)
homogeneity in the imaging plane. To
minimize computation time, an E-field and B
1+-field map
was calculated via simulation using a commercially available electromagnetic
solver, FEKO (Altair, Inc.).
Optimization was then completed in Matlab (the MathWorks, Inc.),
determining the RF shimming parameters using a simplex optimization
algorithm. The cost function consisted
of two terms: a B
1+-field
homogeneity term in a plane of interest (POI), and an E-field minimization
term, in a region of minimization (ROM), according to:
$$\min\left(\sum_{\overrightarrow{r}\in
ROM}|\overrightarrow{E}(\overrightarrow{r})|^{2}+\lambda\left\{\frac{\max|B_1^+(\overrightarrow{r})|-|B_1^+(\overrightarrow{r})|}{\max|B_1^+(\overrightarrow{r})|}\right\}_{POI}\right)$$ where the weighting factor, λ,
was used to vary the importance of the two terms; $$$|\overrightarrow{E}(\overrightarrow{r})|$$$
is the magnitude of the
E-field at position $$$\overrightarrow{r}$$$, $$$|B_1^+(\overrightarrow{r})|$$$ is the magnitude of
the RF magnetic field at position $$$\overrightarrow{r}$$$ relative to the center of the imaged object. The POI was chosen to be perpendicular to the
wires coinciding with the wire tips (where B
1+ distortion
due to E-field minimization or coupling is expected to be highest). As multiple regions of E-field enhancement were
anticipated with the presence of two curved wires, multiple ROMs were
determined for E-field minimization. The
weighting factor, λ, was varied to increase the degrees of freedom available
during optimization.
A 4-channel pTx configuration surrounding
an asymmetric, complex head model was investigated with a single curved wire implant,
and with bilateral implants (Figure 1).
The head model included four tissue media: grey matter (ε
r=67.7,
σ=0.619), white matter (ε
r=48.8, σ=0.364), cerebral spinal fluid (ε
r=79.1,
σ=2.17) and bone (ε
r=41, σ=0.0067).
The implants were modelled as perfectly conductive wires placed in the
typical orientation of bilateral DBS leads.
The chosen POI and ROMs are also
shown in Figure 1. The 4-element pTx
solution was compared with performance of a transmit/receive birdcage coil, the
present standard of care for DBS patients.
Results:
For the single, curved wire implant, the E-field at the tip of the wire
was reduced by 98.5% when using optimized pTx compared to use of the birdcage
coil. There was an associated improvement in B
1+-field
homogeneity with a standard deviation of 28% obtained with optimized pTx versus
81% with the birdcage coil in the brain.
The optimal RF shim was obtained with a λ value of 873. Results for bilateral wire implants are shown
in Figures 2 and 3. The E-fields are
shown in sagittal planes parallel to each wire in Figure 2, and B
1+-fields
are shown in the axial imaging plane in Figure 3, with simulation results for
optimized pTx and the birdcage coil comparison.
The optimal value of the weighting factor, λ, = 943.
The E-field was reduced by 31% at location 1 and 43% at location 2 in
the first wire and 94% at location 1 and 91% at location 2 in the second
wire. Locations were chosen as the
regions of highest E-field in the birdcage coil excitation. Significant reductions in E-field are
achieved along both wires in the bilateral phantom; however, the reduction is
less in the first wire. This is due to
the lower E-field surrounding the first wire in the birdcage coil excitation. The overall E-field in the optimized scenario
is reduced by a factor of approximately 10 throughout the entire head. The B
1+-field
homogeneity is 29.7%, which is improved when compared with the birdcage coil (73.4%).
Conclusion:
This work shows that optimized RF shimming can be used to reduce E-field
near of bilateral, curved wires implanted in a complex, multimedia phantom
while maintaining B
1+-field homogeneity.
Acknowledgements
No acknowledgement found.References
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