In this study, we compared the temperature increase calculated by the simulations and measured by the MR-thermometry in a phantom with those measured by the optical temperature sensors, with good agreement between the methods. To ensure safety, IEC guidelines require simulations of SAR along with validation in phantoms. While it is likely impossible to simulate every possible pulse shape and phase combination in a pTx system with a large number of transmit channels, the results we present here suggest that simulations plus MR-thermometry could provide the verification currently lacking in pTx studies.
A 2-channel transmit-receive array with a radius of curvature of 85mm (Figure-1a) was built, to be used with an Agilent 4T-MRI scanner. An agar gel phantom (15g/L agar, 4.0g/L NaCl, 0.02g/L MnCl2) was prepared in a cylinder (OR = 65mm, IR = 59mm, L = 200mm). Another cylinder (OR = 15mm, IR = 9mm, L = 200mm) was placed eccentrically inside the phantom and was filled with lard (figure-1b). Four T-sensors (Luxtron-790) were placed inside the gel at different locations to measure the temperature increase (Figure-1c).
The phantom was heated using only one of the coils (ch-1) with a square wave pulse (1.5ms pulse; 10ms TR; Power = 50W; Effective Power ($$$P_{eff}$$$) = 7.5 W) for 15 minutes before performing MR thermometry. Five such cycles were performed (Figure-2). Power dissipated in to the phantom by ch-1 was calculated using S-parameters, to be 82% of $$$P_{eff}$$$.
For ΔT-Imaging (PRF shift method2), an asymmetric spin echo pulse sequence was used ($$$TE$$$ = 35.7ms, $$$TE_{eff}$$$ = 12ms; resolution = 3mm isotropic). Temperature change maps were calculated using
$$\Delta T = \frac{\varphi_{w} - \varphi_{f}}{2\pi f_{0}\alpha TE_{eff}}$$
where $$$\Delta T$$$ is the temperature change, $$$\varphi_{w}$$$ and $$$\varphi_{f}$$$ are the phase shifts from agar gel and lard respectively, $$$f_{0}$$$ is 170.33MHz, $$$\alpha$$$ is the thermal proton resonance frequency change coefficient. For the agar gel, $$$\alpha$$$ of -0.0135ppm/K was used, which was determined from an independent experiment. The temperature increases were averaged over regions of interest (ROIs) near the tip of the T-sensors.
Numerical simulations were performed using CST Studio Suite® 2016 (CST AG, Darmstadt, Germany). The Time Domain Solver in CST Microwave Studio® was used for electro-magnetic simulations and Thermal Transient Solver in CST Mphysics Studio® for thermal simulations. Material properties used for the simulations are given in Table-1. T-sensor tips were manually mapped to the simulations. For each mapped T-sensor point, temperature increases were also calculated on the vertices and the face centers of the cubes (1mm3, 8mm3, 27mm3) enclosing that mapped point at their center.
1. IEC 60601-2-33. March 2010:1-224. http://ieeexplore.ieee.org.
2. Streicher MN, Schäfer A, Ivanov D, et al. Fast accurate MR thermometry using phase referenced asymmetric spin-echo EPI at high field. Magn Reson Med. 2014;71(2):524-533.
3. Zhang M, Che Z, Chen J, et al. Experimental Determination of Thermal Conductivity of Water−Agar Gel at Different Concentrations and Temperatures. J Chem Eng Data. 2011;56(4):859-864.
4. Hasgall PA, Di Gennaro F, Baumgartner C, et al. IT’IS Database for thermal and electromagnetic parameters of biological tissues. Version 2.6, January 13th. 2015. 2015;3(1):11-15. doi:10.13099/ViP-Database-V2.6. Accessed January 23, 2016
5. Physical Properties Table for Acrylic. 2016. https://www.hazaiya.co.jp/category/bussei_pipe.html. Accessed February 12, 2016
Figure-1: (a) The two-channel transmit-receive surface coil array. Surface coils were tuned and matched to 170.33MHz and were overlapped for decoupling (S11 = -23dB, S21 = -16dB, S12 = -16dB & S22 = -27dB). (b) Arrangement of the coil, the agar gel and the lard. The lard tube placed in sagittal plane close to the coil. (c) Arrangement of thermometers. At the top of the coil housing and phantom, holes were made at marked places to insert thermometers.