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- Title
Generalized Lorentzian Tensor Approach (GLTA) as a biophysical background for quantitative susceptibility mapping.
- Authors
Yablonskiy, Dmitriy A.; Sukstanskii, Alexander L.
- Abstract
Purpose Quantitative susceptibility mapping (QSM) is a potentially powerful technique for mapping tissue magnetic susceptibility from gradient recalled echo (GRE) MRI. Herein we aim to derive the relationships between GRE signal phase and the underlying tissue microstructure and magnetic susceptibility at the cellular level. Methods We use Maxwell's equations and a statistical approach to derive the expression for the magnetic-susceptibility-induced MR signal frequency shift of the GRE signal in single- and multicompartment systems, in which inhomogeneous magnetic field is induced by the cellular constituents (proteins, lipids, iron, etc.) distributed in intra- and extracellular spaces. Results We introduce the Generalized Lorentzian Tensor Approach (GLTA) that accounts for both types of anisotropy: the anisotropy of magnetic susceptibility and the structural tissue anisotropy. In the GLTA the frequency shift due to the local environment is characterized by the Lorentzian tensor
- Publication
Magnetic Resonance in Medicine, 2015, Vol 73, Issue 2, p757
- ISSN
0740-3194
- Publication type
Article
- DOI
10.1002/mrm.25538