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Yablonskiy DA, Sukstanskii AL. Effects of biological tissue structural anisotropy and anisotropy of magnetic susceptibility on the gradient echo MRI signal phase: theoretical background. NMR IN BIOMEDICINE 2017; 30:10.1002/nbm.3655. [PMID: 27862452 PMCID: PMC6375105 DOI: 10.1002/nbm.3655] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/02/2015] [Revised: 07/18/2016] [Accepted: 09/09/2016] [Indexed: 05/11/2023]
Abstract
Quantitative susceptibility mapping is a potentially powerful technique for mapping tissue magnetic susceptibility from gradient recalled echo (GRE) MRI signal phase. In this review, we present up-to-date theoretical developments in analyzing the relationships between GRE signal phase and the underlying tissue microstructure and magnetic susceptibility at the cellular level. Two important phenomena contributing to the GRE signal phase are at the focus of this review - tissue structural anisotropy (e.g. cylindrical axonal bundles in white matter) and magnetic susceptibility anisotropy. One of the most intriguing and challenging problems in this field is calculating the so-called Lorentzian contribution to the phase shift induced by the local environment - magnetized tissue structures that have dimensions smaller than the imaging voxel (e.g. cells, cellular components, blood capillaries). In this review, we briefly discuss a "standard" approach to this problem, based on introduction of an imaginary Lorentzian cavity, as well as a more recent method - the generalized Lorentzian tensor approach (GLTA) - that is based on a statistical approach and a direct solution of the magnetostatic Maxwell equations. The latter adequately 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 the components of χ^ are compartmental susceptibilities "weighted" by their volume fractions, the components of L^ are weighted by specific numerical factors depending on tissue geometrical microsymmetry. In multi-compartment structures, the components of the Lorentzian tensor also depend on the compartmental relaxation properties, hence the MR pulse sequence settings. Copyright © 2016 John Wiley & Sons, Ltd.
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Affiliation(s)
- Dmitriy A. Yablonskiy
- Correspondence to: D.A. Yablonskiy, Mallinckrodt Institute of Radiology, St Louis, MO, USA.
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Khalil M, Renner A, Langkammer C, Enzinger C, Ropele S, Stojakovic T, Scharnagl H, Bachmaier G, Pichler A, Archelos JJ, Fuchs S, Seifert-Held T, Fazekas F. Cerebrospinal fluid lipocalin 2 in patients with clinically isolated syndromes and early multiple sclerosis. Mult Scler 2016; 22:1560-1568. [DOI: 10.1177/1352458515624560] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2015] [Accepted: 12/06/2015] [Indexed: 11/17/2022]
Abstract
Background: Lipocalin 2 (LCN2) may be involved in the immunopathogenesis of multiple sclerosis (MS) and might further impact on iron homoeostasis. Brain iron accumulates in MS; however, the association to iron-related proteins is still unsolved. Objective: To investigate cerebrospinal fluid (CSF) and serum LCN2, transferrin (Trf) and ferritin in early MS in relation to disease evolution and longitudinal brain iron accumulation. Methods: We analysed CSF and serum LCN2 by enzyme-linked immunosorbent assay (ELISA) and Trf and ferritin by nephelometry in 55 patients (45 clinically isolated syndrome (CIS), 10 MS, median clinical follow-up 4.8 years) and 63 controls. In patients, we assessed sub-cortical grey matter iron by 3T magnetic resonance imaging (MRI) R2* relaxometry (median imaging follow-up 2.2 years). Results: Compared to controls serum ( p < 0.01), CSF ( p < 0.001) LCN2 and CSF Trf ( p < 0.001) levels were reduced in the patients. CSF LCN2 correlated with CSF Trf ( r = 0.5, p < 0.001). In clinically stable patients, CSF LCN2 levels correlated with basal ganglia iron accumulation ( r = 0.5, p < 0.05). In CIS, higher CSF LCN2 levels were associated with conversion to clinically definite MS ( p < 0.05). Conclusion: We demonstrate altered LCN2 regulation in early MS and provide first evidence for this to be possibly linked to both clinical MS activity and iron accumulation in the basal ganglia.
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Affiliation(s)
- M Khalil
- Department of Neurology, Medical University of Graz, Graz, Austria
| | - A Renner
- Department of Neurology, Medical University of Graz, Graz, Austria
| | - C Langkammer
- Department of Neurology, Medical University of Graz, Graz, Austria
| | - C Enzinger
- Department of Neurology, Medical University of Graz, Graz, Austria/Division of Neuroradiology, Department of Radiology, Medical University of Graz, Graz, Austria
| | - S Ropele
- Department of Neurology, Medical University of Graz, Graz, Austria
| | - T Stojakovic
- Clinical Institute of Medical and Chemical Laboratory Diagnostics, Medical University of Graz, Graz, Austria
| | - H Scharnagl
- Clinical Institute of Medical and Chemical Laboratory Diagnostics, Medical University of Graz, Graz, Austria
| | - G Bachmaier
- Institute for Medical Informatics, Statistics and Documentation, Medical University of Graz, Graz, Austria
| | - A Pichler
- Department of Neurology, Medical University of Graz, Graz, Austria
| | - JJ Archelos
- Department of Neurology, Medical University of Graz, Graz, Austria
| | - S Fuchs
- Department of Neurology, Medical University of Graz, Graz, Austria
| | - T Seifert-Held
- Department of Neurology, Medical University of Graz, Graz, Austria
| | - F Fazekas
- Department of Neurology, Medical University of Graz, Graz, Austria
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