Because MRF provides a flexible framework without any requirement for constant repetition times or gradient amplitudes, we propose to use arbitrary gradient waveforms and randomized TR times to reduce the acoustic noise, while still providing quantitative 3D T1 and T2 values.
Here we propose to use three steps to reduce the acoustic noise: first, half-sine waveforms with slow slew rates were used for the gradients from all three axes, as shown in Figure 1a. Such gradient shapes have been shown to reduce the acoustic noise by slowing down the slew rate(3,4). To ensure a consistent slice encoding and good slice profile, a trapezoidal slice selection gradient with low amplitude and slow slew rate was used in each TR. Because the slice selection gradients had varying durations, and the ramp up/down time was also used for excitation, VERSE pulse(5) was designed in each TR based on the varying gradient shape. Second, randomized timing, including RF duration, slice encoding time, readout time and total TR time, was applied so that the noise spectrum is distributed and doesn’t excite any acoustic resonances in the scanner. Third, a 3D-MRF scan with slab selective excitation was implemented to provide a volumetric coverage. The amplitude of the slice selective gradient is also much lower when a large slab is excited, so that the noise from the gradient can be substantially reduced.
A phantom and an in vivo scan with a FOV of 300x300x80 mm3 and image resolution of 1.2x1.2x5 mm3 were performed in a Siemens 3T Skyra system. For each partition, 4000 time-points were acquired and the FA and TR patterns were shown in Figure 1b. The acquisition time was 76 seconds per partition. The RF pulse at each TR was designed to have the same slice profile as a sinc pulse with a duration of 2000 us and time bandwidth product of 8. As shown in Figure 1a, a balanced and smoothly varying waveform was applied in Gy in each TR. The resulting k-space trajectory was similar to the radial trajectory, but with varying step size along the radial direction. Only one such radial trajectory was used to reconstruct an image in each TR, which leads to an undersampling factor of around 400. This gradient with randomized duration was rotated at a golden-angle from one TR to the next. At the end of each TR, a spoiling gradient with a half-sine shape was applied to achieve a 4-pi dephasing across the partition thickness. After the acquisition, the reconstruction and pattern recognition steps were similar to the conventional MRF methods and the MRF-Music scan(6). The aSPL and mSPL values of all scans were measured in the scanner room using an iPhone app (Toolbox Pro). The measurement time for each scan was 40 seconds.
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