Nonlinear formulation of the magnetic field to source relationship for robust quantitative susceptibility mapping
Article first published online: 9 APR 2012
Copyright © 2012 Wiley Periodicals, Inc.
Magnetic Resonance in Medicine
Volume 69, Issue 2, pages 467–476, February 2013
How to Cite
Liu, T., Wisnieff, C., Lou, M., Chen, W., Spincemaille, P. and Wang, Y. (2013), Nonlinear formulation of the magnetic field to source relationship for robust quantitative susceptibility mapping. Magn Reson Med, 69: 467–476. doi: 10.1002/mrm.24272
- Issue published online: 24 JAN 2013
- Article first published online: 9 APR 2012
- Manuscript Accepted: 6 MAR 2012
- Manuscript Revised: 11 FEB 2012
- Manuscript Received: 12 OCT 2011
- phase noise;
- model error;
- nonlinear inversion
Quantitative susceptibility mapping (QSM) opens the door for measuring tissue magnetic susceptibility properties that may be important biomarkers, and QSM is becoming an increasingly active area of scientific and clinical investigations. In practical applications, there are sources of errors for QSM including noise, phase unwrapping failures, and signal model inaccuracy. To improve the robustness of QSM quality, we propose a nonlinear data fidelity term for frequency map estimation and dipole inversion to reduce noise and effects of phase unwrapping failures, and a method for model error reduction through iterative tuning. Compared with the previous phase based linear QSM method, this nonlinear QSM method reduced salt and pepper noise or checkerboard pattern in high susceptibility regions in healthy subjects and markedly reduced artifacts in patients with intracerebral hemorrhages. Magn Reson Med, 2013. © 2012 Wiley Periodicals, Inc.