On the sensitivity of quantitative susceptibility mapping for measuring trabecular bone density

Abstract

Purpose: To develop a methodological framework to simultaneously measure $R_2^{*}$ and magnetic susceptibility in trabecularized yellow bone marrow and to investigate the sensitivity of Quantitative Susceptibility Mapping (QSM) for measuring trabecular bone density using a non-UTE multi-gradient echo sequence.

Methods: The ankle of 16 healthy volunteers and two patients was scanned using a time-interleaved multi-gradient-echo (TIMGRE) sequence. After field mapping based on water-fat separation methods and background field removal based on the Laplacian boundary value method, three different QSM dipole inversion schemes were implemented. Mean susceptibility values in regions of different trabecular bone density in the calcaneus were compared to the corresponding values in the $R_2^{*}$ maps, bone volume to total volume ratios (BV/TV) estimated from high resolution imaging (in 14 subjects), and CT attenuation (in two subjects). In addition, numerical simulations were performed in a simplified trabecular bone model of randomly positioned spherical bone inclusions to verify and compare the scaling of $R_2^{*}$ and susceptibility with BV/TV.

Results: Differences in calcaneus trabecularization were well depicted in susceptibility maps, in good agreement with high-resolution MR and CT images. Simulations and in vivo scans showed a linear relationship of measured susceptibility with BV/TV and $R_2^{*}$ . The ankle in vivo results showed a strong linear correlation between susceptibility and $R_2^{*}$ (R² = 0.88, p < 0.001) with a slope and intercept of -0.004 and 0.2 ppm, respectively.

Conclusions: A method for multi-paramteric mapping, including $R_2^{*}$ -mapping and QSM was developed for measuring trabecularized yellow bone marrow, showing good sensitivity of QSM for measuring trabecular bone density.

Keywords: susceptibility mapping; trabecular bone density.