ArticleMagnetic resonance in medicine2015
Generalized Lorentzian Tensor Approach (GLTA) as a biophysical background for quantitative susceptibility mapping.
Article in Magnetic resonance in medicine, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Axonal microstructure and compartmentalization impact the orientation and time dependence of mesoscopic transverse relaxation.Scientific reports · 2026Article
- Predicting Mesoscopic Larmor Frequency Shifts in White Matter With Diffusion MRI-A Monte Carlo Study in Axonal Phantoms.NMR in biomedicine · 2025Article
- Larmor frequency shift from magnetized cylinders with arbitrary orientation distribution.NMR in biomedicine · 2023Article
- Imaging white matter microstructure with gradient-echo phase imaging: Is ex vivo imaging with formalin-fixed tissue a good approximation of the in vivo brain?Magnetic resonance in medicine · 2022Article
- Characterizing white matter fiber orientation effects on multi-parametric quantitative BOLD assessment of oxygen extraction fraction.Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism · 2020Article
- Clinical feasibility of brain quantitative susceptibility mapping.Magnetic resonance imaging · 2019Article
- Quantitative susceptibility mapping (QSM) with an extended physical model for MRI frequency contrast in the brain: a proof-of-concept of quantitative susceptibility and residual (QUASAR) mapping.NMR in biomedicine · 2018Article
- Lorentzian effects in magnetic susceptibility mapping of anisotropic biological tissues.Journal of magnetic resonance (San Diego, Calif. : 1997) · 2018Review
- Effects of biological tissue structural anisotropy and anisotropy of magnetic susceptibility on the gradient echo MRI signal phase: theoretical background.NMR in biomedicine · 2017Review
- Susceptibility tensor imaging (STI) of the brain.NMR in biomedicine · 2017Review
- B0 -orientation dependent magnetic susceptibility-induced white matter contrast in the human brainstem at 11.7T.Magnetic resonance in medicine · 2016Article
- Assessing White Matter Microstructure in Brain Regions with Different Myelin Architecture Using MRI.PloS one · 2016Article
- Appraising the Role of Iron in Brain Aging and Cognition: Promises and Limitations of MRI Methods.Neuropsychology review · 2015Review
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2 authors.
Funding
Abstract
purposeQuantitative 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.
methodsWe 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.
resultsWe 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 L⁁ which has a substantially different structure than the susceptibility tensor χ⁁. While components of χ⁁ are simply compartmental susceptibilities "weighted" by their relative volumes, the components of L⁁ are weighted by specific numerical factors depending on tissue micro-symmetry and parameters related to the MR pulse sequence. We also provide equations bridging phenomenological and microscopic considerations.
conclusionThe GLTA provides a consistent background for deciphering phase data.
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