Magnetic susceptibility in the deep gray matter varies substantially between subjects of similar age or disease state. This work employs a blind source separation technique to 239 healthy controls to determine, without prior assumptions, the spatial patterns that drive inter-subject variation of magnetic susceptibility in the human brain.
Quantitative Susceptibility Mapping (QSM) is a novel post-processing technique for T2*-weighted phase data1-4. Due to its unique sensitivity for tissue iron5, numerous studies have successfully employed QSM to reveal insights on brain iron homeostasis in normal aging6-10 and several neurological diseases2. A conclusion that can be drawn from these studies is that deep gray matter (DGM) susceptibility varies substantially between subjects of similar age or disease state. While it is known that DGM iron follows a nonlinear, heteroscedastic aging trajectory11, knowledge about the spatiotemporal patterns of these inter-subject differences is currently sparse.
In the present work, we employed a blind source separation (BSS) technique to determine, without prior assumptions, the spatial patterns that drive inter-subject variation of magnetic susceptibility in the human brain
Subjects and data acquisition: This IRB-approved retrospective study included 239 (162 female/77 male) subjects without pre-existing medical conditions associated with brain pathology, covering a broad range of ages (9-76 years). All subjects were imaged at 3T with a 3D gradient-echo sequence (TE/TR=22ms/40ms, tip=12°, matrix=512x192x64, FOV=256x192x128mm3) using an eight-channel head-and-neck coil.
QSM and BSS: Susceptibility maps were reconstructed from k-space using scalar phase-matching12, gradient unwarping13, best-path phase unwrapping14, V-SHARP15,16, and HEIDI17. We normalized all susceptibility maps to a custom susceptibility brain template18 created from randomly selected susceptibility maps of the hospital database. A 3D Independent Component Analysis (ICA; FSL MELODIC; automatic number of components) decomposed the normalized maps into statistically independent components (IC) and mixing weights (MW). Figure 1 illustrates the process.
Analysis: For comparison with the literature, we calculated the average susceptibility in DGM using a manually defined brain atlas. Based on visual inspection of the IC’s, two trained analysts classified the ICs as anatomy, artifact, or pathology. Subjects with high MW for pathology-ICs were considered as abnormal and excluded from further analyses. We investigated the correlation of anatomy-MW with age using the Spearman rank coefficient (p<0.05 significant). Recombination of susceptibility maps from ICs and MWs excluding artifact-ICs and ICs not rank-correlated with age yielded filtered maps that showed primarily age-related susceptibility in every subject. These filtered maps were analyzed again with an atlas approach. To understand how much of the susceptibility variation between subjects can be explained by anatomy-ICs, we applied L1-regularized multivariate second-order regression with the MWs as independent and age as dependent variables. A bootstrapping approach with 120 randomly assigned test subjects determined the optimal regularization parameter to avoid overfitting.
Without a priori knowledge of anatomy, ICA revealed that inter-subject variations of susceptibility are characterized by distinct spatial patterns of iron-laden DGM sub-nuclei. In particular, the appearance of several sub-nuclei on the same ICs indicates spatiotemporal correlations between these regions, providing interesting insights into the spatial dynamics of brain iron homeostasis. Network analysis using environmental, behavior and cognitive data will decipher these correlations in future studies. In particular, the lack of association of one anatomy-IC with age suggests that networks associated with this IC are affected by external, non-aging related factors.
The high number of ICs compared to other applications of ICA (e.g. fMRI) may be attributed to the relatively high level of reconstruction artifacts on susceptibility maps. While the low number of anatomy-ICs and clear splitting of nuclei between ICs indicate successful decomposition, the reliability of the decomposition19 will be a subject of future research. The automated identification of pathologies (that remained undetected during recruitment) and reduced inter-subject variability of average DGM susceptibility after ICA-based filtering (Figure 3) illustrates the potential of BSS-based analyses to eliminate spurious artifacts in clinical QSM studies. Multivariate regression of age-related MWs revealed an age-prediction accuracy comparable to previous, more sophisticated morphometric attempts20,21, indicating the potential of QSM as a means to determine brain age.
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