Pulmonary MRI is challenging due to many factors, such as short T2* relaxation time and respiratory motion corruption. However, the large susceptibility differences in the lungs from blood oxygenation and O2 content might provide more information related to pulmonary function. In this work, we combined ultra-short TE(UTE) acquisition, quantitative susceptibility mapping(QSM), and motion-resolved reconstruction techniques together to look at the susceptibility contrast in the lung and changes in different motion states. According to the results, this technique provides extra contrast information compared to traditional intensity images, and shows susceptibility changing of lung in different respiration states.
Acquisition
Data was from cystic fibrosis (CF) patients scans (n=2) using 3D UTE sequence with free-breathing and variable density radial readout acquisition[2]. The scan parameters were: FOV=32x32x32cm, flip angle=4°, 1.25mm isotropic resolution, effective TE=80μs, sampling bandwidth=125kHz.
Data Binning and Reconstruction
With 3D UTE acquisition, the repeatedly acquired center k-space was used for respiratory motion estimation[5]. Unlike traditional motion resolved methods, we binned data based on the respiratory phases instead of motion signal intensity, which is shown in Fig.2(A). After binning data to different respiratory phases, images were reconstructed with compressed sensing motion resolved reconstruction[6].
$$\underset{x}{\operatorname{argmin}} \sum_i^n{||P_iFSx_i-d_i||_2^2}+\lambda_{TV}TV(x_i)+\lambda_W||\Psi(x_i)||_1$$
$$$F$$$is Fourier transform. $$$P_i$$$is gridding and sampling operator. $$$\Psi$$$is wavelet transform. $$$TV$$$stands for total variation. $$$\lambda_{TV}$$$and$$$\lambda_W$$$are the penalty terms, $$$i$$$stands for specific motion state.
QSM reconstruction
After image reconstruction, the phase images were used for QSM calculation. In this study, wrapped phase was unwrapped using Laplacian-based phase unwrapping method and the background phase was then removed using the V-SHARP method[7]. Due to relative low SNR in pulmonary phase images with large susceptibility ranges, a compressed sensing based QSM algorithm called improved Compressed Sensing (iCS) was used in this work.
$$\underset{\chi}{\operatorname{argmin}} ||F^HWF(\exp(i\gamma B_0T_EF^HD_2F\chi)-\exp(i\phi))||_2^2+\lambda_{TV}TV(\chi)+\lambda_W||\Psi\chi||_1$$
$$$F$$$is Fourier transform. $$$W$$$is k-space weighting term. $$$D_2$$$is dipole kernel. $$$T_E$$$ is effective echo time. $$$\Psi$$$is wavelet transform. $$$TV$$$stands for total variation. $$$\lambda_{TV}$$$and$$$\lambda_W$$$are the penalty terms.
As QSM aims to derive the exact local susceptibility distribution by solving the inverse problem from field to magnetic susceptibility, we expected that QSM could provide an extra lung tissue contrast in addition to signal intensity based contrast. As indicated by the blue circles in Fig.1, some pulmonary structures (bronchi and vessels) could be distinguished from parenchyma based on the susceptibility differences whereas difficult to achieve on magnitude. Moreover, QSM also showed the susceptibility variation in different areas due to inhomogeneous susceptibility distribution in the lung.
Due to different air composition ratio in different respiration states, susceptibility distribution was expected to change in different respiration states. In Fig.2(A), MQSM showed large susceptibility differences in the bronchi between different phases compared to magnitude images. Typically, the inhaled air is ~21% O2, and the exhaled air is ~15% O2, the decrease of the O2 should lead to a reduced susceptibility value in the ROIs. The average susceptibility of ROIs was calculated and plotted in Fig.2(B). Susceptibility of a few representative ROIs in II, III phases (exhalation) show lower values than I, IV (inhalation), which matched the previous analysis.
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