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A fast calculation method for magnetic field inhomogeneity due to an arbitrary distribution of bulk susceptibility
Abstract
A fast calculation method for the magnetic field distribution due to (dynamic) changes in susceptibility may allow real‐time interventional applications. Here it is shown that a direct relationship can be obtained between the magnetic field perturbation and the susceptibility distribution inside the MR magnet using a first order perturbation approach to Maxwell's magneto‐static equations, combined with the Fourier transformation technique to solve partial derivative equations. The mathematical formalism does not involve any limitation with respect to shape or homogeneity of the susceptibility field. A first order approximation is sufficient if the susceptibility range does not exceed 10−4 (or 100 ppm). The formalism allows fast numerical calculations using 3D matrices. A few seconds computation time on a PC is sufficient for a 128 × 128 × 128 matrix size. Predicted phase maps fitted both analytical and experimental data within 1% precision. © 2003 Wiley Periodicals, Inc. Concepts Magn Reson Part B (Magn Reson Engineering) 19B: 26–34, 2003.
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Cites
Electrodynamics of Continuous Media
Landau, L. D., Lifshitz, E. M., & King, A. L. (1961) · American Journal of Physics · doi:10.1119/1.1937882 · Cited by 10,997
Greiner, W. (1998) · Theoretical Physics · doi:10.1007/978-1-4612-0587-6 · Cited by 6,657
Electrodynamics of Continuous Media
Kemmer, N. (1961) · Physics Bulletin · doi:10.1088/0031-9112/12/6/014 · Cited by 4,884
Classical Electrodynamics, 3rd ed .
Jackson, J. D., & Fox, R. F. (1999) · American Journal of Physics · doi:10.1119/1.19136 · Cited by 3,073
Schenck, J. F. (1996) · Medical Physics · doi:10.1118/1.597854 · Cited by 1,522
Raj, D., Paley, D. P., Anderson, A. W., Kennan, R. P., & Gore, J. C. (2000) · Physics in Medicine and Biology · doi:10.1088/0031-9155/45/12/321 · Cited by 116
Magnetic susceptibility quantification for arbitrarily shaped objects in inhomogeneous fields
Li, L. (2001) · Magnetic Resonance in Medicine · doi:10.1002/mrm.1276 · Cited by 76
Sukstanskii, A. L., & Yablonskiy, D. A. (2001) · Journal of Magnetic Resonance · doi:10.1006/jmre.2001.2363 · Cited by 54
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Schweser, F., Deistung, A., Lehr, B. W., & Reichenbach, J. R. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2010.10.070 · Cited by 710
Quantitative susceptibility mapping of human brain reflects spatial variation in tissue composition
Li, W., Wu, B., & Liu, C. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2010.11.088 · Cited by 624
Magnetic susceptibility mapping of brain tissue in vivo using MRI phase data
Shmueli, K., de Zwart, J. A., van Gelderen, P., Li, T., Dodd, S. J., & Duyn, J. H. (2009) · Magnetic Resonance in Medicine · doi:10.1002/mrm.22135 · Cited by 527
Quantitative susceptibility mapping: current status and future directions
Haacke, E. M., Liu, S., Buch, S., Zheng, W., Wu, D., & Ye, Y. (2015) · Magnetic Resonance Imaging · doi:10.1016/j.mri.2014.09.004 · Cited by 511
Metadata
- Authors
- Salomir, R., de Senneville, B. D., & Moonen, C. T.
- Venue
- Concepts in Magnetic Resonance Part B: Magnetic Resonance Engineering
- Publisher
- Wiley
- Published
- 2003-01
- Volume
- 19B
- Issue
- 1
- Pages
- 26-34
- ISSN
- 1552-5031 (ISSN-L)
- 1552-504X
- OpenAlex
- W2754370524
- Cited by
- 389
- References
- 8
- FWCI
- 3.10
- Type
- journal article
- Language
- en
- Open access
- closed
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