Glioblastoma multiforme is the most frequent and most aggressive malignant braintumor with de facto no long term curation by the use of current multimodal therapeutic approaches. RF heating at ultrahigh fields (B0=7.0T, f=298MHz) has the potential of delivering sufficiently large thermal dosage for hyperthermia of relatively large tumor areas. This work focuses on EMF simulations and provides realistic applicator designs tailored for simultaneous RF heating and MR imaging. Our preliminary results suggest that RF power can be focused to both a small tumor area and a big clinical target volume based on segmented patient data.
EMF simulations8 were performed for two voxel models of the human head:
1) Voxel model “Duke”9 was upgraded with a sphere (d=4cm, σTumor=1.15S/m, εTumor=66.510) in the right occipital region of the brain, mimicking a glioblastoma (Fig.1a).
2) A real clinical computed tomography dataset of a patient with glioblastoma multiforme was segmented into 18 contours and assigned EM material properties of tissue11(Fig.1b).
Three RF antenna arrays were modeled, each comprising bowtie electric dipole antennae in a circular arrangement. These building blocks demonstrated good RF heating and MR imaging performance at f=298MHz3,12. The first configuration consists of eight antennas ((35x70x150)mm³ each) positioned symmetrically (diameter=24cm) around the human head (Fig.1c,f) with D20 (ε≈80) as high permittivity medium for wavelength shortening and antenna size reduction13. The second configuration constitutes a 16-channel array ((40x40x80)mm³ each;Fig.1d,g). A higher permittivity dielectric (ε≈200) allowed further antenna size reduction and can be realized by mixing high permittivity BaTiO3 powder with D20. In the third configuration, sixteen antennae ((40x40x80)mm³,ε≈200) were positioned interleaved along the z-direction(Fig.1e,h). Copper sheets were used to decrease next neighbor coupling (Fig.1g,h).
The multi-channel point-SAR distributions were rebinned14 to an isotropic grid of 5mm and averaged15 over 10g16. In the non-tumor region, VOPs17 were calculated for faster optimization. A multiquadratic optimization problem was simplified via its semidefinite relaxation18, which was solved using the MatLab-based modeling system for convex optimization (CVX19) with different constraints. For small tumors, the optimization goal is set to maximize total power absorption in the tumor volume:
maximize Tr(XQ) s.t. Tr(XVi)≤SARmax & Tr(XP)≤Pmax
where X=solution matrix, Q=tumor-SAR matrix, Vi=generalized VOPs. Head power deposition was constrained via the global SAR matrix P.
Large tumors are subject to a maximum homogenized power distribution within the tumor18:
minimize t s.t. -t≤Tr(XQi)-b≤t & Tr(XVi) ≤SARmax & Tr(XP)≤Pmax
with b=targeted tumor-SAR.
For all configurations, a SAR hotspot could be generated in the target region. For the small tumor in “Duke”, all applicator configurations are evaluated for increasing allowed total head power (Fig.2). The interleaved array is superior in total absorbed tumor power for all optimized total head-SAR constraints. The results for a total head power of 11W/29W are displayed in Fig.3 and 4. Optimized under the constraints of maximum local SAR outside the tumor region SARout ≤20W/kg and total head power PHead≤11W (Fig. 3), the total tumor power was 0.56W for the 8-channel, 0.50W for the 16-channel circular and 0.69W for the 16-channel interleaved antenna array. The maximum local SAR found in the tumor was 21.51W/kg for the 8-channel, 20.31W/kg for the 16-channel and 25.15W/kg for the 16-channel interleaved antenna array. Increasing the total head power constraint to PHead≤29W for the same SARout≤20W/kg, tumor power increased to 0.76W for the 8-channel, 0.76W for the 16-channel and 0.86W for the 16-channel interleaved antenna array (Fig.4). Maximum local SAR in the tumor increased to 23.95W/kg for the 8-channel, 23.69W/kg for the 16-channel and 26.61W/kg for the 16-channel interleaved antenna array.
The clinical glioblastoma patient dataset showed absorbed tumor powers of 6.50W for the 8-channel (Fig.5a,b), 6.00W for the 16-channel circular (Fig.5c,d) and 7.92W for the 16-channel interleaved configuration (Fig.5e,f) under the constraints SARout≤20W/kg, PHead≤29W. The 16-channel interleaved configuration improved absorbed tumor power by >20% vs. the 8-channel and by >30% vs. the 16-channel circular setup. Optimization of the latter was limited by a max SAROut=20W/kg at the surface of the voxel model which can be associated with the VOP overestimation.
The authors would like to express their gratitude to Bastien Guerin for helpful discussions.
This work was supported in part (L.W., E.O., J.D., A.K., T.N., H.W[OE1] .) by the German Federal Ministry of Education and Research, “KMU-innovativ”: Medizintechnik 13GW0102.
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