A thermal contrast agent with high sensitivity, thulium 1,4,7,10-tetramethyl-1,4,7,10-tetraazacyclododecane-1,4,7,10-tetraacetate (TmDOTMA-), was investigated for use in measuring the three-dimensional heating profile surrounding implantable devices with a goal of simplifying the safety assessment process. The technique was first demonstrated by imaging a vertical temperature gradient and was subsequently used to measure the heating profile surrounding a copper wire. We found gross agreement of this technique with concurrent fiber-optic temperature probe measurements, with the TmDOTMA- measurement complicated by a number of technical challenges and imaging artifacts.
MRI images were acquired on a Siemens 7 tesla whole-body scanner (Magnetom; Siemens Healthcare, Erlangen, Germany). TmDOTMA- was obtained from Macrocyclics (Plano, TX) and prepared in two 40 mL vials to a concentration of 4 mM using normal saline. TmDOTMA- signal was acquired by a manual shift of the center frequency -106 ppm (-31.5 kHz) from water using a spoiled gradient echo (GRE) pulse sequence. A time bandwidth product of ≥5.4 was necessary in order to excite the sample over the experimental temperature range due to the relatively large temperature coefficient. Relative temperatures were calculated using the proton resonance frequency shift (PRF) shift equation:
$$\Delta T=\frac{\Delta\phi}{2\pi\gamma{B_{0}}cTE}$$
where $$$\Delta\phi$$$ is the difference in phase between two voxels, $$$\gamma$$$ is the gyromagnetic ratio, $$$B_{0}$$$ is the magnetic field strength, $$$c$$$ is the temperature coefficient of the frequency shift (water: -0.01 ppm / °C, TmDOTMA-: 0.6 ppm / °C), and $$$TE$$$ is the echo time in milliseconds5,6. Analysis performed in MATLAB (MathWorks, Natick, MA, USA).
As a preliminary demonstration, a vertical temperature gradient was created in a single vial of TmDOTMA- by placing the vial on a block of chilled agar and making repeated scans while allowing the vial-agar system to thermally equilibrate. FOPs were placed at the top and bottom of the vial.
Subsequently, heating was induced in a 65 cm 22 AWG
solid-core copper wire placed in a TmDOTMA- vial while simultaneously
measuring the resulting 3D temperature profile. Heating
was accomplished using the radiofrequency (RF) pulse (500 ms pulse, 7.0 ms repetition
time, 22° flip angle, 128 averages,
30.6 min acquisition). Heating was limited to the tip of the wire, located
in the center of the solution, by leaving the original insulation on all but
the final 2 mm. Another TmDOTMA-
vial lacking a wire was also present as a control. In the experimental vial 4 FOPs were placed: side-top, side-middle, side-bottom, and wire tip. A single FOP was placed in the center of the
control vial.
While we successfully imaged gross and localized thermal gradients using TmDOTMA- there are a number of limitations to the data obtained thus far. First and foremost is a lack of quantitative agreement of the calculated temperature values with the FOPs. Second is the model system used, which is not suitable for robust characterization of the technique in human tissue. Finally, we did not use an implant with clinical utility. Ideally, a realistic head phantom and agar gel would be used along with a deep-brain stimulation electrode.
There are a number of factors which make this measurement challenging and require further investigation before the technique can be used for precision safety measurements. Most prominent are a number of artifacts, such as pi bounces (from changes in magnetic susceptibility) and signal pileup (known to occur with the GRE pulse sequence) at material interfaces, which convolute the TmDOTMA- signal. Additionally, the expense of TmDOTMA- necessitated the dilute and small-volume samples used here and contributes to a weak signal that limits flexibility in scanning parameters. The combination of complicating factors interferes with a quantitative analysis of the phase signal and makes correlation with FOPs challenging.