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Characterization of anisotropic T2W signals from human knee femoral cartilage: The magic angle effect on a spherical surface
Author(s) -
Pang Yuxi
Publication year - 2021
Publication title -
nmr in biomedicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.278
H-Index - 114
eISSN - 1099-1492
pISSN - 0952-3480
DOI - 10.1002/nbm.4535
Subject(s) - anisotropy , sagittal plane , orientation (vector space) , isotropy , cartilage , mathematics , standard deviation , magic angle , articular cartilage , transverse plane , nuclear magnetic resonance , physics , biomedical engineering , anatomy , geometry , medicine , statistics , osteoarthritis , optics , pathology , alternative medicine , nuclear magnetic resonance spectroscopy
The aim of the current study was to propose a generalized magic angle effect (gMAE) function for characterizing anisotropic T2W signals of human knee femoral cartilage with a spherical surface in clinical studies. A gMAE model function f ( α , ε ) was formulated for an orientation‐dependent ( ε ) transverse T 2 (i.e., 1/ R 2 ) relaxation in cartilage assuming an axially symmetric distribution ( α ) of collagen fibers. T2W sagittal images were acquired on an adult volunteer's healthy knee at 3 T, and ROI‐based average signals S ( ε ) were extracted from angularly and radially segmented femoral cartilage. Compared with the standard MAE (sMAE) functions in the deep (DZ, α = 0°) and in the superficial (SZ, α = 90°) zones, a general form of R 2 orientation‐dependent function f ( α , ε ) was fitted to S ( ε ), including an isotropic R 2 contribution (internal reference [REF]). Goodness of fit was evaluated by root‐mean‐square deviations (RMSDs). An F ‐test and a paired t ‐test were respectively used to assess significant differences between the observed variances and means, with statistical significance set to p less than .05. As a symmetric orientation‐dependence function with a varying dynamic range, the proposed gMAE model outperformed the previous sMAE functions manifested by significantly reduced RMSDs in the DZ (0.239 ± 0.122 vs. 0.267 ± 0.097, p = .014) and in the SZ (0.183 ± 0.081 vs. 0.254 ± 0.085, p < .001). The fitted average angle α (38.5 ± 34.6° vs. 45.1 ± 30.1°, p < .43) and REF (5.092 ± 0.369 vs. 5.305 ± 0.440, p < .001) were smaller in the DZ than those in SZ, in good agreement with the reported collagen fibril microstructural configurations and the nonbound water contribution to R 2 in articular cartilage. In conclusion, a general form of the magic angle effect function was proposed and demonstrated for better characterizing anisotropic T2W signals from human knee femoral cartilage at 3 T in clinical studies.