Experimental Validation of High Shear Wave Displacement at Mode Frequencies in MR Elastography
Cemre Ariyurek1,2, Safa Ozdemir1,2, Arif Sanli Ergun3, Yusuf Ziya Ider1, and Ergin Atalar1,2

1Department of Electrical and Electronics Engineering, Bilkent University, Ankara, Turkey, 2National Magnetic Resonance Research Center (UMRAM), Ankara, Turkey, 3Department of Electrical and Electronics Engineering, TOBB-University of Economics and Technology, Ankara, Turkey

Synopsis

Experimental validation of modes of shear waves in MR elastography (MRE) is demonstrated. For the first time, frequency response of the actuator is investigated and actuator displacement is measured. Normalizing shear wave displacement to the actuator displacement removes the effect of actuation system and isolates shear wave resonance. It is demonstrated that 10-20 times greater shear wave displacement than applied displacement by the actuator can be observed at resonance. Thus, safety issues in MRE should be reconsidered. Presenting repeatability of determining mode frequency validates feasibility of detecting stiffness changes by observing any shift in mode frequency.

Purpose

Previously, it was demonstrated by simulations that modes of the shear waves can be observed in the brain during MR elastography (MRE) with high shear wave displacement values at mode frequencies and change in stiffness causes shift in mode frequency1. Purpose of this study is to validate experimentally that greater shear wave displacement than applied displacement at mode frequency can be observed and mode frequency shifts when stiffness alters. Thus, observing shift in mode frequency may mean change in stiffness. In addition, safety issues in MRE are evoked due to high shear wave displacement at resonance.

Methods

Three homogeneous phantoms were prepared in spherical flasks having 1L volume using the same agar-agar powder and following the preparation steps described in a previous study2, with agar-agar powder concentrations of 0.65%, 0.75% and 0.85%. From measurement results2, the shear modulus values of these phantoms are estimated as 6, 7.7 and 10 kPa, respectively. Experiments were conducted in a 3T Siemens Tim Trio MRI scanner. Using an actuator coil driven by sinusoidal current under the B0 field, phantoms were rotationally vibrated about the y-axis, as shown in Figure 1. The motion was induced continuously and the frequency of excitation was swept from 25 to 45.5 Hz, with 0.5 Hz steps. Peak-to-peak current applied to the actuator coil was kept constant during all experiments in the range of 1.75-1.85A. Two acquisitions were made in each scan using a GRE pulse with motion encoding gradient (MEG), by switching polarity of the zeroth and first moment nulled MEG, having same frequency with excitation frequency, in an interleaved fashion. The shear wave displacement images were formed by taking root of sum of squares (RSS) of two phase difference images at steady state of shear waves having π/2 phase difference obtained from two scans for each frequency. Peak of the RSS image was used as a measure of shear wave displacement magnitude. Detector coils were mounted on the actuator system to measure the amount of displacement applied by the actuator to the phantoms3. As shown in Figure 1, setup was placed approximately 30° tilted with respect to B0 direction to measure the induced voltage on the detector coil properly3. Shear wave displacement was normalized by the actuator displacement, which was obtained from the measured induced voltage on the detector coil. Central transversal slice of the phantoms were selected for imaging and MEG was in the slice selection direction. All experiments were repeated three times in 1-6 weeks to test the repeatability.

Results

To demonstrate an example, results for measurements of shear wave displacement in the phantom with 0.85% agar-agar concentration, induced voltage on detector coil, computed displacement of actuator and normalized shear wave displacement are shown in Figure 2. Normalized displacement images for the same phantom experiment can be seen in Figure 3. In Figure 4, normalized displacement plots for all phantoms are depicted. It is expected to observe peak normalized displacement at mode frequencies, which were found to be 27.5, 29.5 and 34 Hz for 0.65%, 0.75% and 0.85%, respectively, and repeated experiments yielded the same mode frequencies except third experiment for 0.85% which resulted with a mode frequency of 34.5 Hz. It can be stated that results are coherent with previous findings in simulations1.

Discussion and Conclusion

To the best of our knowledge, this study analyzes, for the first time, the frequency response of the actuator coil by sweeping the excitation frequency in MRE. From Figure 2, it is observed that frequency response of actuator system is not constant although current applied to actuator coil is kept almost constant. We argue that this is due to interaction of shear wave and actuator system resonances. Consequently, output displacement is a combination of two peak displacements, which correspond to mode of phantom and mode of actuator system loaded with phantom. At the mode frequency of shear wave, displacement of actuator is minimum, hence creating a high shear wave displacement for small input displacement, whereas second peak output displacement is due to peak displacement applied by the actuator. Using normalization, we were able to isolate shear wave resonance by removing the effect of actuation system. An important outcome of this study is that the safety issues in MRE should be reconsidered4, as we can observe 10-20 times shear wave displacement of applied displacement in Figure 4. Repeatability of determining mode frequency has been validated, thus tracking any shift in mode frequency due to possible stiffness changes is feasible. Our future work will include applications of our findings to human brain studies.

Acknowledgements

No acknowledgement found.

References

[1] Ariyurek C, Ider YZ, Gurler N, Ozdemir S, Emek A, Ergun AS, Atalar E. Modes of Shear Waves in Brain MR Elastography. In Proceedings of the 22nd Annual Meeting of ISMRM, Milan, Italy, 2014. p. 4270.

[2] Hamhaber U, Grieshaber FA, Nagel JH, Klose U. Comparison of quantitative shear waves MR-elastography with mechanical compression tests. Magn Reson Med 2003;49:71–77.

[3] Plewes DB, Luginbuhl C, Macgowan CK, Sack I. An inductive method to measure mechanical excitation spectra for MRI elastography. Concept Magn Reson B 2004;21B:32–39.

[4] Ehman EC, Rossman PJ, Kruse SA, Sahakian AV, Glaser KJ. Vibration safety limits for magnetic resonance elastography. Phys Med Biol 2008;53:925–935.

Figures

Figure 1: Experimental setup indicating spherical flask phantom (1L), actuator coil (radius=1.5 cm, number of turns=91), detector coils (radius=1.5 cm, number of turns=72), rotation axis of vibration of phantoms applied by the actuator and placement of setup in MRI, which is approximately 30° tilted with respect to B0 direction.

Figure 2: Results for one experiment conducted on phantom with agar-agar concentration of 0.85%. (a)Peak shear wave displacement in phantom(output), (b)voltage induced on detector coil, (c)displacement of actuator(input) computed from measurement in (b), (d)normalized shear wave displacement obtained by normalizing plot in (a) to (c), with respect to excitation frequency.

Figure 3: Normalized displacement images for each excitation frequency for the same experiment shown in Figure 2. Note that mode frequency is 34 Hz since we observe maximum normalized displacement.

Figure 4: Experimental results for normalized displacement versus frequency plots for three phantoms, each repeated three times. Note that mode frequencies are indicated by vertical grids on the plot.



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