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Magn Reson Med. 2015 Jan;73(1):82-101. doi: 10.1002/mrm.25358. Epub 2014 Jul 17.

Quantitative susceptibility mapping (QSM): Decoding MRI data for a tissue magnetic biomarker.

Wang Y1,2,3, Liu T4.

Author information

Radiology, Weill Medical College of Cornell University, New York, New York, USA.
Biomedical Engineering, Cornell University, Ithaca, New York, USA.
Biomedical Engineering, Kyung Hee University, Seoul, South Korea.
MedImageMetric, LLC, New York, New York, USA.


In MRI, the main magnetic field polarizes the electron cloud of a molecule, generating a chemical shift for observer protons within the molecule and a magnetic susceptibility inhomogeneity field for observer protons outside the molecule. The number of water protons surrounding a molecule for detecting its magnetic susceptibility is vastly greater than the number of protons within the molecule for detecting its chemical shift. However, the study of tissue magnetic susceptibility has been hindered by poor molecular specificities of hitherto used methods based on MRI signal phase and T2* contrast, which depend convolutedly on surrounding susceptibility sources. Deconvolution of the MRI signal phase can determine tissue susceptibility but is challenged by the lack of MRI signal in the background and by the zeroes in the dipole kernel. Recently, physically meaningful regularizations, including the Bayesian approach, have been developed to enable accurate quantitative susceptibility mapping (QSM) for studying iron distribution, metabolic oxygen consumption, blood degradation, calcification, demyelination, and other pathophysiological susceptibility changes, as well as contrast agent biodistribution in MRI. This paper attempts to summarize the basic physical concepts and essential algorithmic steps in QSM, to describe clinical and technical issues under active development, and to provide references, codes, and testing data for readers interested in QSM.


Bayesian; QSM; calcification; contrast agent; dipole field; dipole kernel; ferritin; gradient echo; hemoglobin; hemorrhage; iron; metabolism; morphology enabled dipole inversion; myelin; oxygen consumption; quantification; quantitative susceptibility mapping

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