An ultra-high resolution, whole-brain DCE MRI with a temporal resolution of 1.5sec (3~4 times higher than conventional routine) and a spatial resolution of isotropic 1.0mm3 (5~6 times higher than conventional routine) is introduced in a real clinical setting to address problems related to arterial input function and partial volumes for precise estimation of vascular permeability information in brain cancer patients. Compared with conventional routine vendor-provided method, the proposed ultra-high resolution DCE MRI produces significant differences in permeability maps particularly for both Ktrans and ve.
Data Acquisition: A time series of 4D-DCE data were acquired in cancer patients on a 3.0 T MR-scanner(Skyra,Siemens) using the proposed ultra-high resolution DCE-MRI(1.5sec,1mm3) and conventional vendor routine(4.8sec,1.3x1.3x3.0mm3).Each set of 4D-data was vastly under-sampled in a radial-like pattern on a Cartesian grid (R=50) and then shared only in a portion of peripheral k-space over three neighboring phases.Imaging parameters common to both the proposed and conventional methods were: TR/TE=3.18/1.1ms,flip angle=15◦,matrix size=192×192×144,temporal phases=170.Variable-flip-angle Imaging(2°,8°,15°) was performed to estimate a reference T10 map3.
Spatiotemporally Constrained Reconstruction: The proposed DCE-MRI signal X is decomposed into:
$$\bf X=X_{0}+X_{D}+X_{M}+N$$
X0 is the baseline signal matrix,XD is the matrix of interest that contains time-varying contrast agent induced signals,and XM is the residual signal matrix.The proposed DCE reconstruction is performed by solving the following spatiotemporally constrained optimization problem:
$${{ \{ \hat{\bf{X}}_{D}, \hat{\bf{U}},\hat{\bf{X}_{M}} \}}=\underset{\bf{X}_{D},\bf{U},\bf{X}_{M}}{\mathrm{arg\;min}}\;\left \|\bf{D}_{t}\bf{X}_{D}\right\|_{\mathrm{1}}+\mathrm{\lambda_{U}}\left \| \bf{D}_{s}\bf{U}\right \|_{\mathrm{1}}+\mathrm{\lambda_{M}} \left \|\psi\bf{X}_{M}\right \|_1}$$
$${s.t.\bf{d}_{r}=\ \tt\bf{E}(\bf{X}_{D}+\bf{X}_{M}),\space \bf{X}_{D}=\bf{U}\bf{V}_{r}}$$
where Dt is the temporal finite difference operator,Ds is the spatial finite difference operator,dr is the residual(k-t space) between the baseline and DCE data,$$$\psi$$$ is temporal Fourier transform operator,and E is the sensitivity encoding operator,Vr denotes the temporal basis.
DCE Emulation and Permeability Quantification: A high definition reference data is available from the proposed ultra-high resolution DCE-MRI.To emulate a series of data with varying temporal resolution(1.5 to 10.5sec), a corresponding range of k-space data in neighboring time phases were shared.A series of data with varying spatial resolution(1x1x1 to 4x4x1mm3) was then emulated by low pass filtering the reference data.For each set of data,permeability information was quantified by the following procedures:1)T10 and T1 maps were generated and then converted to concentration time courses voxel by voxel; 2)AIF was manually measured in the internal carotid artery; and 3)Given the AIF and the tissue concentration time course, permeability information was quantified by exploiting the extended tofts model and corresponding non-linear least squares fitting4.Permeability maps were compared with varying temporal and spatial resolutions from the emulated sets of data.
Direct Comparison between the Proposed Ultra-High DCE MRI and Conventional Routine MRI in a real clinical setting: To validate the feasibility of the proposed, ultra-high resolution DCE-MRI in a real clinical setting, two sets of DCE-MRI data obtained using the proposed method(1.5sec,1mm3) and conventional vendor routine(4.8sec,1.3x1.3x3.0mm3) were used to construct permeability maps for comparison.
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