期刊
PHYSICS IN MEDICINE AND BIOLOGY
卷 63, 期 14, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1361-6560/aacc35
关键词
electrical property tomography; noise robustness; finite difference scheme; magnetic resonance imaging
资金
- Science and Technology Program of Guangdong, China [2015B020214006, 2016A050502026]
- Australian Research Council
- Natural Science Foundation of Shandong Province [ZR2016FM11]
- Science & Technology Project of College and University in Shandong Province [J11LG04]
- Science and Technology Program of Guangzhou, China [201704020091]
- National Key Research and Development Program of China [2016YFC0100800, 2016YFC0100801, 2016YFC0100802]
- Guangdong Natural Science Foundation [2015A030313234]
- National Natural Science Foundation of China [61528102, 61671229]
Magnetic resonance electrical property tomography (MR-EPT) reconstructs electrical properties (EPs) from measured magnetic fields in magnetic resonance imaging (MRI) systems. In this study, an MR-EPT method was proposed that utilized a new finite difference approximation of the involved differential wave equation. Compared with existing MR-EPT approaches, the construction of the system matrix involves applying the first derivative twice based on a larger number of neighbouring finite-difference grids, which is different from a standard Laplacian operator on a regular grid structure, leading to a better conditioned linear inverse problem. With improved noise robustness, more faithful EPs can be obtained by the proposed method, particularly at tissue boundaries and regions with a poorly measured magnetic field (low signal-to-noise ratio). Numerical simulations with a specially designed multi-slice phantom and an anatomically accurate head model (Duke) have demonstrated that the proposed method can provide a more faithful reconstruction of EPs compared to existing methods, which usually offer unreliable solutions associated with traditional finite difference approximation of the central wave equation and unrealistic assumptions. Experiments on a 9.4 T MRI system have been conducted to validate the simulations.
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