Computational modeling of RF-induced heating due to a titanium-alloy rod was conducted by nine independent institutions with a primary goal to compare the impact of common, independent modeling choices on temperature rise results. Results showed that when the rod is located 2 cm from the enclosure, the temperature rise can be used to estimate the local background electric-field exposure. Temperature rise depends not only on the background exposure but also on the location of the rod within the phantom.
The geometrical dimensions and the material properties of the “phantom” (i.e., acrylic enclosure filled with a homogeneous conductive medium), and of the solid titanium-alloy rod1 used by each institution were constrained, as shown in Table 1. The initial background temperature of the conductive medium without thermal convection was set to 22°C. The exterior acrylic walls and the exposed top of the medium were thermally insulated. However, the implant fixtures and the temperature probes were excluded in the simulation. Additionally, the pilot holes of the titanium-alloy rod were filled with the medium. Simulations were performed at both 1.5T and 3T to calculate the temperature rise in the pilot holes of the rod (i.e., location where temperature is typically measured1). The RF exposure was continuous and the maximum temperature rise ΔT at six minutes inside the rod pilot-holes were compared across institutions.
The unconstrained parameters for each institution were: the specific RF exposure system and exact RF frequency used, the computational software platform, and the global (x,y,z) position of the phantom within the RF coil. As such, each institution implemented an RF source model representing either a clinical MR systems, generic birdcage coils, or simple plane-wave exposure. Each institution used commercially available or in-house software platform based on either the Finite Difference Time Domain (FDTD), the Finite Integration Technique (FIT), or the Finite Element Method (FEM).
For the institutions using an RF coil model loaded with the ASTM phantom, the titanium-alloy rod was centered in the phantom in the superoinferior direction and the longitudinal axis was centered in the mid-depth of the medium (i.e., 4.5 cm above the bottom of the acrylic enclosure). The pilot holes of the rod were parallel to the x-axis of the RF coil. The rod was placed at three different positions along the x-axis: 2 cm, 5 cm, and 8 cm from the phantom enclosure. The results were scaled to provide an average background incident ||E||rms=150 V/m at 2 cm from the phantom enclosure on the same plane where the titanium-alloy rod was subsequently placed.
For the institutions using a plane-wave model, the presence of the phantom was not required. The titanium-alloy rod was placed in a homogeneous conductive medium with an incident electric plane wave parallel to the rod axis with ||E||rms=150 V/m . Only a single position was evaluated, given the spatially homogeneous exposure.
1. ASTM F2182-11 - Standard Test Method for Measurement of Radio Frequency Induced Heating On or Near Passive Implants During Magnetic Resonance Imaging
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