Application of compressed sensing to in vivo 3D ¹⁹F CSI.

This study shows how applying compressed sensing (CS) to (19)F chemical shift imaging (CSI) makes highly accurate and reproducible reconstructions from undersampled datasets possible. The missing background signal in (19)F CSI provides the required sparsity needed for application of CS. Simulations were performed to test the influence of different CS-related parameters on reconstruction quality. To test the proposed method on a realistic signal distribution, the simulation results were validated by ex vivo experiments. Additionally, undersampled in vivo 3D CSI mouse datasets were successfully reconstructed using CS. The study results suggest that CS can be used to accurately and reproducibly reconstruct undersampled (19)F spectroscopic datasets. Thus, the scanning time of in vivo(19)F CSI experiments can be significantly reduced while preserving the ability to distinguish between different (19)F markers. The gain in scan time provides high flexibility in adjusting measurement parameters. These features make this technique a useful tool for multiple biological and medical applications.

[1]  Albert P. Chen,et al.  Compressed sensing for resolution enhancement of hyperpolarized 13C flyback 3D-MRSI. , 2008, Journal of magnetic resonance.

[2]  L. Senhadji,et al.  Acquisition time reduction in magnetic resonance spectroscopic imaging using discrete wavelet encoding. , 2005, Journal of magnetic resonance.

[3]  O. Gonen,et al.  Simultaneous 3D NMR spectroscopy of fluorine and phosphorus in human liver during 5‐fluorouracil chemotherapy , 1996, Magnetic resonance in medicine.

[4]  P. Boesiger,et al.  SENSE: Sensitivity encoding for fast MRI , 1999, Magnetic resonance in medicine.

[5]  Peter Boesiger,et al.  Compressed sensing in dynamic MRI , 2008, Magnetic resonance in medicine.

[6]  D M Spielman,et al.  Optimization of fast spiral chemical shift imaging using least squares reconstruction: Application for hyperpolarized 13C metabolic imaging , 2007, Magnetic resonance in medicine.

[7]  Michael Schroeter,et al.  Non-invasive induction of focal cerebral ischemia in mice by photothrombosis of cortical microvessels: characterization of inflammatory responses , 2002, Journal of Neuroscience Methods.

[8]  Prodromos Parasoglou,et al.  Optimal k-space sampling for single point imaging of transient systems. , 2008, Journal of magnetic resonance.

[9]  R Pohmann,et al.  Accurate phosphorus metabolite images of the human heart by 3D acquisition‐weighted CSI , 2001, Magnetic resonance in medicine.

[10]  A J Sederman,et al.  Quantitative single point imaging with compressed sensing. , 2009, Journal of magnetic resonance.

[11]  K. Scheffler,et al.  Fast 31P chemical shift imaging using SSFP methods , 2002, Magnetic resonance in medicine.

[12]  Robin M Heidemann,et al.  Generalized autocalibrating partially parallel acquisitions (GRAPPA) , 2002, Magnetic resonance in medicine.

[13]  D. Donoho For most large underdetermined systems of equations, the minimal 𝓁1‐norm near‐solution approximates the sparsest near‐solution , 2006 .

[14]  UlrichFlögel,et al.  In Vivo Monitoring of Inflammation After Cardiac and Cerebral Ischemia by Fluorine Magnetic Resonance Imaging , 2008 .

[15]  Rayan Saab,et al.  Stable sparse approximations via nonconvex optimization , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[16]  K. T. Block,et al.  Undersampled radial MRI with multiple coils. Iterative image reconstruction using a total variation constraint , 2007, Magnetic resonance in medicine.

[17]  A. Fischer,et al.  Spike artifact reduction in nonconvex Compressed Sensing , 2009 .

[18]  M. Lustig,et al.  Improving non‐contrast‐enhanced steady‐state free precession angiography with compressed sensing , 2009, Magnetic resonance in medicine.

[19]  Comparison of Wavelets and a new DCT Algorithm for Sparsely Sampled Reconstruction , 2006 .

[20]  J. Hennig,et al.  Fast functional brain imaging using constrained reconstruction based on regularization using arbitrary projections , 2009, Magnetic resonance in medicine.

[21]  D. Donoho,et al.  Sparse MRI: The application of compressed sensing for rapid MR imaging , 2007, Magnetic resonance in medicine.

[23]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[24]  Rick Chartrand,et al.  Exact Reconstruction of Sparse Signals via Nonconvex Minimization , 2007, IEEE Signal Processing Letters.

[25]  Michael Lustig,et al.  Faster Imaging with Randomly Perturbed, Undersampled Spirals and |L|_1 Reconstruction , 2004 .

[26]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[27]  Rick Chartrand Nonconvex compressive sensing and reconstruction of gradient-sparse images: Random vs. tomographic Fourier sampling , 2008, 2008 15th IEEE International Conference on Image Processing.

[28]  Eric T Ahrens,et al.  In vivo imaging platform for tracking immunotherapeutic cells , 2005, Nature Biotechnology.

[29]  P. Hees,et al.  A new perfluorocarbon for use in fluorine‐19 magnetic resonance imaging and spectroscopy , 1993, Magnetic resonance in medicine.

[30]  Peter M. Jakob,et al.  Introduction of a Nonconvex Compressed Sensing Algorithm for MR Imaging , 2008 .

[31]  P M Joseph,et al.  A technique for double resonant operation of birdcage imaging coils. , 1989, IEEE transactions on medical imaging.

[32]  D. L. Donoho,et al.  Rapid MR Imaging with "Compressed Sensing" and Randomly Under-Sampled 3DFT Trajectories , 2004 .

[33]  A. Haase,et al.  Snapshot flash mri. applications to t1, t2, and chemical‐shift imaging , 1990, Magnetic resonance in medicine.

[34]  R. Mason,et al.  Imaging β-galactosidase activity using 19F chemical shift imaging of LacZ gene-reporter molecule 2 -fluoro -4-nitrophenol -β -D -galactopyranoside , 2006 .

[35]  S. Caruthers,et al.  19F magnetic resonance imaging for stem/progenitor cell tracking with multiple unique perfluorocarbon nanobeacons , 2007, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[36]  A. Haase,et al.  In vivo19F NMR chemical-shift imaging ofAncistrocladus species , 2005, Protoplasma.