To increase the contrast between the bone and the cartilage, fat saturation techniques are additionally applied to the conventional imaging sequences. However, the fat saturation techniques eliminate most of the bone information. Thus, using the modified bSSFP (balanced steady-state free precession) pulse sequence called a hybrid bSSFP pulse sequence, the proposed method offers the multi-contrast knee images with very short imaging time (< 10 sec).
The bSSFP pulse sequence offers a good signal-to-noise ratio (SNR) with a short TR, so that imaging time can be substantially reduced. Thus, it is steadily applied to knee imaging (2, 3). The acquired signal from bSSFP pulse sequence is combination of free-induction-decay (FID) signal and echo signal. The MR signal from the conventional bSSFP pulse sequence is derived as follows (4),
$${\bf M} =({\bf I}-{\bf R} {\scriptsize \alpha} {\bf Q})^{-1}(1-{\it E} {\scriptsize 1}){\bf R} {\scriptsize \alpha}{\bf M} {\scriptsize 0},\tag1$$
where M is the magnetization vector just after the RF pulse, M0 is the initial magnetization vector, Rα is the rotation matrix due to the α° RF pulse, Q is the precession and T2-relaxation matrix, E1 is defined as exp(-t/T1). If the RF flip angle becomes close to the Ernst angle, the FID signal increases. The larger RF flip angle is applied (close to 180°), the larger signal in the transverse plane is refocused. Thus, in the proposed method, by using the alternating RF flip angles, the amount of the FID signal and the echo signal at each TR period are manipulated, as shown in Fig. 1(a). The proposed method is composed of two RF pulses having different flip angles. Then, the MR signals from alternating RF pulses are formulated, respectively, as follows,
$${\bf M} {\scriptsize \beta\rightarrow\alpha}=({\bf I}-{\bf R} {\scriptsize \alpha} {\bf Q}{\bf R} {\scriptsize \beta}{\bf Q})^{-1}(1-{\it E} {\scriptsize 1}){\bf R} {\scriptsize \alpha}({\bf Q}{\bf R} {\scriptsize \beta}+{\bf I}) {\bf M} {\scriptsize 0}\\{\bf M} {\scriptsize \alpha\rightarrow\beta}=({\bf I}-{\bf R} {\scriptsize \beta} {\bf Q}{\bf R} {\scriptsize \alpha}{\bf Q})^{-1}(1-{\it E} {\scriptsize 1}){\bf R} {\scriptsize \beta}({\bf Q}{\bf R} {\scriptsize \alpha}+{\bf I}) {\bf M} {\scriptsize 0},\tag2$$
where Mβ→αand Mα→β are the magnetization vectors just after the α° and β° RF pulses, respectively, and Rβ is the rotation matrix due to the β° RF pulse. Then, the proposed method makes two contrast images acquired just after two different RF pulses, respectively. Especially, the difference image between two contrast images provides cartilage-weighted information under small flip angles. In contrast, the sum image of two contrast images has anatomical information similar to conventional bSSFP contrast. So, the weighted combination of the sum and the difference images can make various contrast images. The schematic process of the proposed method is described in Fig. 1(b).
The simulations were performed using the phantom (Fig. 2(a)), which was composed of the cartilage, muscle, synovial fluid, and bone marrow (fat). The T1 and T2 values for composed materials were determined by the references (5) and (6), as shown in Fig. 2(b) and 2(c). The simulation parameters were determined as follows: TR/TE = 5.0/2.5 ms, flip angles = 7° and 10° with Gaussian random noise. In-vivo experiments were also performed using a 3 T MRI scanner (Siemens Magnetom Verio, Erlangen, Germany) to validate the proposed method. Imaging parameters were given as field of view (FOV) = 165×165 mm2, matrix size = 256×256, TR/TE = 5/2.5 ms, and number of averages = 5. For comparison, turbo spin-echo (TSE) proton-density (PD) images with/without fat saturation were acquired with TR/TE = 3200/37 ms.
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