Model-based reconstruction methods formulate quantitative reconstruction as parameter estimation in domain-specific physical models. This enables the development of fundamentally methods for quantitative MRI with short scan times. Our newest techniques integrates the Bloch equations as forward model.
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Figure: Simultaneous mapping of T1, T2, and B0 in foru seconds using a single-short multi-echo inversion recovers scan (Wang et al. 2024)
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Figure: Whole brain T1 mapping in one minute using 5 consecutive 5-slice SMS acquisitions (Wang et al. 2020)
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Figure: High Resolution T1 quantification from golden-angle radial 3D acquisitions. Transversal, sagittal and coronal views. Acquisition time: Reference (22min), 89 Spokes (4.8min), 55 Spokes (3min), 34 Spokes (1.8min), 21 Spokes (1.1min), 13 Spokes (0.7min), 8 Spokes (0.4min).
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Figure: Cardiac real-time imaging using multi-echo FLASH and model-based reconstruction for water and fat separation (Tan et al. 2019)
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Figure: Spin-density and color-coded T2 maps of the human brain obtained by GF-MARTINI reconstructions with validity mask and constant undersampling factors of 1, 2, 6, and 12. The corresponding measurement times were 12:54, 6:27, 2:09, and 1:05 min (Sumpf et al. 2014).
References:
- Xiaoqing Wang, Nick Scholand, Zhengguo Tan, Daniel Mackner, Vitali Telezki, Moritz Blumenthal, Philip Schaten, Martin Uecker. Model-Based Reconstruction for Joint Estimation of T1, R∗2 and B0 Field Maps Using Single-Shot Inversion-Recovery Multi-Echo Radial FLASH. arXiv:2402.05366 [physics.med-ph] (2024)
- Nick Scholand, Xiaoqing Wang, Volkert Roeloffs, Sebastian Rosenzweig, Martin Uecker. Quantitative Magnetic Resonance Imaging by Nonlinear Inversion of the Bloch Equations. Magnetic Resonance in Medicine 90:520-538 (2023)
- Zhengguo Tan, Christina Unterberg-Buchwald, Moritz Blumenthal, Nick Scholand, Philip Schaten, Christian Holme, Xiaoqing Wang, Dirk Raddatz, Martin Uecker. Free-Breathing Liver Fat, R∗2 and B0 Field Mapping Using Multi-Echo Radial FLASH and Regularized Model-based Reconstruction. IEEE Transactions on Medical Imaging 42:1374-1387 (2023)
- Xiaoqing Wang, Sebastian Rosenzweig, Volkert Roeloffs, Moritz Blumenthal, Zhengguo Tan, Nick Scholand, H. Christian M. Holme, Christina Unterberg-Buchwald, Rabea Hinkel, Martin Uecker. Free-Breathing Myocardial T1 Mapping using Inversion-Recovery Radial FLASH and Motion-Resolved Model-Based Reconstruction. Magnetic Resonance in Medicine 89:1368-1384 (2023)
- Xiaoqing Wang, Sebastian Rosenzweig, Nick Scholand, H.Christian M.Holme, Martin Uecker. Model-based Reconstruction for Simultaneous Multi-slice T1 Mapping using Single-shot Inversion-recovery Radial FLASH. Magn Reson Med 85:1258-1271 (2021) [open access]
- Xiaoqing Wang, Florian Kohler, Christina Unterberg-Buchwald, Joachim Lotz, Jens Frahm, Martin Uecker. Model-based myocardial T1 mapping with sparsity constraints using single-shot inversion-recovery radial FLASH cardiovascular magnetic resonance. Journal of Cardiovascular Magnetic Resonance 21:60 (2019) [open access]
- Zhengguo Tan, Dirk Voit, Jost Kollmeier, Martin Uecker, Jens Frahm. Dynamic Water/Fat Separation and B0 Inhomogeneity Mapping -- Joint Estimation Using Undersampled Triple-Echo Multi-Spoke Radial FLASH. Magnetic Resonance in Medicine 82:1000-1011 (2019)
- Volkert Roeloffs, Sebastian Rosenzweig, H. Christian M. Holme, Martin Uecker, Jens Frahm. Frequency-modulated SSFP with radial sampling and subspace reconstruction: A time-efficient alternative to phase-cycled bSSFP. Magnetic Resonance in Medicine 81:1566-1579 (2019)
- Oliver Maier, Jasper Schoormans, Matthias Schloegl, Gustav J. Strijkers, Andreas Lesch, Thomas Benkert, Tobias Block, Bram F. Coolen, Kristian Bredies, Rudolf Stollberger. Rapid T1 quantification from high resolution 3D data with model-based reconstruction. Magnetic Resonance in Medicine 81:2072-2089 (2018)
- Xiaoqing Wang, Dirk Voit, Volkert Roeloffs, Martin Uecker, Jens Frahm. Fast Interleaved Multi-Slice T1 Mapping -- Model-based Reconstruction of Single-Shot Inversion-Recovery Radial FLASH. Computational and Mathematical Methods in Medicine 2018:2560964 (2018) [open access]
- Xiaoqing Wang, Volkert Roeloffs, Jakob Klosowski, Zhengguo Tan, Dirk Voit, Martin Uecker, Jens Frahm. Model-based T1 Mapping with Sparsity Constraints Using Single-Shot Inversion-Recovery Radial FLASH. Magnetic Resonance in Medicine 79:730-740 (2018)
- Jonathan I. Tamir, Martin Uecker, Weitian Chen, Peng Lai, Marcus T. Alley, Shreyas S. Vasanawala, Michael Lustig. T2 Shuffling: Sharp, Multicontrast, Volumetric Fast Spin-Echo Imaging. Magnetic Resonance in Medicine 77:180-195 (2017) PMC4990508
- Tilman J. Sumpf, Andreas Petrovic, Martin Uecker, Florian Knoll, Jens Frahm. Fast T2 Mapping with Improved Accuracy Using Undersampled Spin-echo MRI and Model-based Reconstructions with a Generating Function. IEEE Transactions on Medical Imaging 33:2213-2222 (2014) arxiv:1405:3574 [physics.med-ph]
- Tilman J Sumpf, Martin Uecker, Susann Boretius, Jens Frahm. Model-based Nonlinear Inverse Reconstruction for T2 Mapping Using Highly Undersampled Spin-Echo MRI. Journal of Magnetic Resonance Imaging 34:420-428 (2011) [source code]
- Kai Tobias Block, Martin Uecker, Jens Frahm. Model-based Iterative Reconstruction for Radial Fast Spin-Echo MRI IEEE Transactions on Medical Imaging 28:1759-1769 (2009)
- Kai Tobias Block, Martin Uecker, Jens Frahm. Iterative Reconstruction for R2 Mapping Based on Radial Fast Spin-Echo MRI ISMRM Annual Meeting, Toronto 2008, In Proc. Intl. Soc. Mag. Reson. Med. 16: 1432 (2008)