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Quantitative susceptibility mapping
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Quantitative susceptibility mapping : ウィキペディア英語版
Quantitative susceptibility mapping

Quantitative Susceptibility Mapping (QSM) provides a novel contrast mechanism in Magnetic Resonance Imaging (MRI) different from traditional Susceptibility Weighted Imaging.〔(1st International Workshop on MRI Phase Contrast and Quantitative Susceptibility Mapping, Jena (2011) )〕〔(2nd International Workshop on MRI Phase Contrast & Quantitative Susceptibility Mapping, Cornell (2013) )〕〔(3rd International Workshop on MRI Phase Contrast & Quantitative Susceptibility Mapping, Duke (2014) )〕〔(Y. Wang and T. Liu, Quantitative susceptibility mapping (QSM): Decoding MRI data for a tissue magnetic biomarker, MRM 73, 82-101, (2015) )〕 The voxel intensity in QSM is linearly proportional to the underlying tissue apparent magnetic susceptibility, which is useful for chemical identification and quantification of specific biomarkers including iron, calcium, gadolinium, and super paramagnetic iron oxide (SPIO) nano-particles. QSM utilizes phase images, solves the magnetic field to susceptibility source inverse problem, and generates a three-dimensional susceptibility distribution. Due to its quantitative nature and sensitivity to certain kinds of material, potential QSM applications include standardized quantitative stratification of cerebral microbleeds and neurodegenerative disease, accurate gadolinium quantification in contrast enhanced MRI, and direct monitoring of targeted theranostic drug biodistribution in nanomedicine.
== Background ==

In MRI, the local field \delta B induced by non-ferromagnetic biomaterial susceptibility along the main polarization B₀ field is the convolution of the volume susceptibility distribution \chi with the dipole kernel d: \delta B = d \otimes \chi. This spatial convolution can be expressed as a point-wise multiplication in Fourier domain: \Delta B = D \cdot \Chi. This Fourier expression provides an efficient way to predict the field perturbation when the susceptibility distribution is known. However, the field to source inverse problem involves division by zero at a pair of cone surfaces at the magic angle with respect to B₀ in the Fourier domain. Consequently, susceptibility is underdetermined at the spatial frequencies on the cone surface, which often leads to severe streaking artifacts in the reconstructed QSM.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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