In this work, we present a new imaging capability for simultaneous mapping of metabolites, macromolecules and tissue susceptibility in the brain, using a single scan for about 5 minutes. This new capability builds on the recently proposed subspace imaging framework SPICE (SPectroscopic Imaging by exploiting spatiospectral CorrElation) and uses a union-of-subspaces based approach to extract tissue susceptibility, metabolite and macromolecule spatiospectral distributions from an ultrashort-TE, short-TR, high-resolution MRSI scan without water suppression. In vivo results were used to demonstrate this exciting capability.
We use a novel approach to extract QSM, metabolite and macromolecule information from a single SPICE-MRSI data set using the following union-of-subspaces framework3,8
\begin{eqnarray*}\rho(\mathbf{r},t) & = & \sum_{l_{w}=1}^{L_{w}}c_{l_{w}}(\mathbf{r})\phi_{l_{w}}(t)+\sum_{l_{f}=1}^{L_{f}}c_{l_{f}}(\mathbf{r})\phi_{l_{f}}(t)+\sum_{l_{m}=1}^{L_{m}}c_{l_{m}}(\mathbf{r})\phi_{l_{m}}(t)+\sum_{l_{b}=1}^{L_{b}}c_{l_{b}}(\mathbf{r})\phi_{l_{b}}(t).\\\end{eqnarray*}
Note that: a) each set of temporal bases $$$\left\{\phi_{l_x}(t)\right\}$$$ in the model spans a low-dimensional subspace, which significantly reduces the numbers of unknowns and makes high-SNR reconstruction from limited data possible; b) the water, lipids, metabolites, and macromolecules are represented by different subspaces, each with distinct structures (e.g., water proton's unique frequency and macromolecules’ short-T2, etc), allowing for an effective separation of these components; c) the explicit subspace representation allows individual subspaces to be predetermined from training data specifically designed for different components. Specifically, the proposed data processing scheme includes the following components.
QSM: Our MRSI data capture full spectroscopic information of the water protons thus provide all the information needed to determine the tissue susceptibility variations. The specific issues associated with the proposed acquisition are 1) sparse sampling and 2) relatively limited k-space coverage compared to conventional QSM. We address the first issue using parallel imaging and the second using a super-resolution reconstruction, incorporating both rank and sparsity constraints1. This allows for an improved resolution at 2mm isotropic. QSM processing is done using the pipeline in [7].
Metabolite Mapping: The key issues associated with metabolite mapping are 1) removal of the water/lipid signals and 2) spatiospectral reconstruction from the noisy water/lipids-removed data. Using the union-of-subspaces model and water/lipid spectral priors, we can estimate a B0 distribution and the water/lipid bases from the SPICE-MRSI data, and effectively remove the water/lipids signals3,8. To address the reconstruction issue, we predetermined a set of spectral/temporal bases from high-SNR training data2, which enables reconstruction from the noisy spatiospectral encodings using a regularized least-squares formulation integrating sensitivity encoding, subspace and spatial priors.
Macromolecule Mapping: Our ultrashort-TE acquisition inherently encodes the signals from the macromolecules. The key issue here is the separation of the macromolecule signals from the metabolites. To this end, we predetermined a macromolecule subspace from ultrashort-TE FID-CSI training scans and built it into the union-of-subspaces reconstruction model. A time-segmented reconstruction strategy was employed to further take advantage of the short-T2 nature of macromolecules.
[1] Lam F, Ma C, Clifford B, Johnson CL, and Liang ZP, High-resolution 1H-MRSI of the brain using SPICE: Data Acquisition and Image Reconstruction. Magn. Reson. Med., 2016;76:1059-1070.
[2] Sheikh MA, Lam F, Ma C, Clifford B, and Liang ZP, Rapid, high-resolution 3D 1H-MRSI of the brain based on FID acquisitions. Proc. Intl. Soc. Mag. Reson. Med., 2016, p. 2353.
[3] Lam F, Ning Q, Clifford B, Ma C, and Liang ZP, Ultrahigh-resolution, volumetric 1H-MRSI of the brain without water/lipid suppression. ISMRM MR Spectroscopy Workshop, Germany, 2016.
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[7] Wang Y and Liu T, Quantitative susceptibility mapping (QSM): Decoding MRI data for a tissue magnetic biomarker. Magn. Reson. Med., 2015;73:82-101. http://weill.cornell.edu/mri/pages/qsm.html.
[8] Ma C, Lam F, Johnson CL, and Liang ZP, Removal of nuisance signals from limited and sparse 1H MRSI data using a union-of-subspaces model. Magn. Reson. Med., 2016;75:488-497.