Heating Reduction in Unilateral And Bilateral Implanted Leads At 3T Using Parallel Radiofrequency Transmission in a Heterogeneous Head Model
Clare McElcheran1, Laleh Golenstani-Rad2, and Simon Graham3

1University of Toronto, Toronto, ON, Canada, 2Massachusetts General Hospital, Charlestown, MA, United States, 3Sunnybrook Health Sciences Centre, Toronto, ON, Canada

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 disorders1. MRI is important for surgical planning and post-procedure monitoring of patients that undergo DBS2. 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 protocols3. Significant heating reductions have been obtained via parallel RF transmission (pTx) in a proof of concept study4. 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 (B1+) homogeneity in the imaging plane. To minimize computation time, an E-field and B1+-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 B1+-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 B1+ 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 (εr=67.7, σ=0.619), white matter (εr=48.8, σ=0.364), cerebral spinal fluid (εr=79.1, σ=2.17) and bone (εr=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 B1+-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 B1+-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 B1+-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 B1+-field homogeneity.

Acknowledgements

No acknowledgement found.

References

1. Chen XL, Xiong YY, Xu GL, et al. Deep brain stimulation. Interv Neurol. 2013; 1:200-212.

2. Bain PG. Deep Brain Stimulation. Oxford; New York: Oxford University Press; 2009.

3. Finelli DA, Rezai AR, Ruggieri PM, et al. MR Imaging-Related Heating of Deep Brain Stimulation Electrodes: In Vitro Study. Am J Neuroradiol. 2002; 23:1795-1802.

4. McElcheran CE, Yang B, Anderson KJT, et al. Investigation of Parallel Radiofrequency Transmission for the Reduction of Heating in Long Conductive Leads in 3 Tesla Magnetic Resonance Imaging. PLoS One. 2015; 10(8): e0134379.

Figures

Figure 1: (a) Head model inside 4 pTx coils. (b) Sagittal cross-section showing model geometry for skull, white matter, grey matter and CSF, and the implanted wire (dashed black line). Yellow line indicates the POI for B1+-field optimization and red boxes are ROMs for E-field minimization.

Figure 2: E-field in plane parallel to first wire (a) and (c) and second wire (b) and (d) for phantom with two bilateral implanted wires. E-field using optimized pTx shown in (a) and (b) while T/R birdcage coil shown in (c) and (d). Locations 1 and 2 are indicated with white arrows.

Figure 3: Transmit magnetic field in imaging plane (POI) shown for (a) optimized 4-element pTx and (b) T/R birdcage coil for phantom with two bilateral implanted wires.



Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)
3659