Here we propose an inversion recovery based radial simultaneous multi-slice sequence for myocardial T1 mapping. 3 slices of T1 maps were acquired simultaneously within one breath hold spanning 11 heartbeats. Model based reconstruction was used to jointly reconstruct images at different inversion times and estimate T1 maps. Native T1, post-contrast T1 and ECV maps agree with results from the slice-by-slice Cartesian MOLLI sequence.
Sequence
A nonselective 180o pulse (6-pulse train (8)) was applied after receiving an ECG trigger and the trigger delay time was set to receive data during the diastolic phase. 150 radial k-space rays were acquired with a golden-angle sampling pattern, and five such readouts were done in 5 heartbeats. After recovery for 3 heartbeats, another IR was applied and 3 more 150-ray-readout were acquired. The first readout started ~11ms after the first IR pulse and the sixth readout started ~100ms after the second IR (Figure 1). Three slices were read out simultaneously with a controlled aliasing (CAIPI) phase modulation pattern (9). The scan was done on a 3T Siemens (Prisma) scanner with breath hold with parameters: TR/TE 2.1/1.1ms, FOV 260mm2, flip angle 8o, voxel size 1.8x1.8x8mm3. Figure 1 illustrates the proposed pulse sequence.
Reconstruction
Model based reconstruction was built into the spatiotemporal constrained reconstruction (STCR) framework (10) to jointly reconstruct images and T1 maps. The cost function (1) was minimized:
$$m=\mathrm{arg min} \left( \left|\left|Am-d \right|\right|_2^2 +\lambda_s\left|\left|\sqrt{\nabla_xm^2+\nabla_ym^2+\epsilon}\right|\right|_1+\lambda_m\left|\left|m-\hat{m}_{\mathrm{mb}}\right|\right|_2^2\right). (1)$$
In addition to the data fidelity and spatial total variation terms as described in (10), the term $$$\lambda_m \left|\left| m - \hat{m}_{\mathrm{mb}}\right|\right|_2^2$$$ is an $$$l_2$$$ norm constraint of the difference between estimated image set and the model based image estimation $$$\hat{m}_{\mathrm{mb}}$$$. $$$\hat{m}_{\mathrm{mb}}$$$ is updated at every iteration by fitting T1 maps from $$$m$$$ using Bloch simulation and reproducing the model images at different TIs from the estimated T1 maps. Magnitude values of $$$m$$$ were used for the T1 fitting, the phase of $$$\hat{m}_{\mathrm{mb}}$$$ was kept the same as $$$m$$$. The T1 fitting used a pattern recognition algorithm from (6) with a dictionary of 5 flip angle variations (0.6-1 of the value set on the scanner) and 2701 T1 values (300-3000ms) for native T1, and 2000 T1 values (1-2000ms) for post-contrast T1. The radial SMS data was interpolated onto a Cartesian grid before iterative reconstruction using an SMS GROG method (11). To improve image quality, the k-space of measurement 1 included additional k-space rays from measurement 6 though using only the high frequency part of the rays. This was done in the same way for measurements 2-3 with 7-8 and vice versa.
Although not shown here we tested an interleaved slice-group radial SMS sequence to acquire 6 slices of T1 maps within one breath hold. Increased inconsistency of data due to a longer TR and higher undersampling rate degraded image quality.
The proposed IR radial SMS sequence was able to acquire 3 slices of myocardial T1 maps simultaneously for both pre- and post-contrast. By using the model based STCR reconstruction framework, 3 slices of T1 maps can be directedly reconstructed from the acquired radial SMS data. The native and post-contrast myocardium T1 and ECV values agree with the values from the Cartesian MOLLI sequence.
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