Chaos and COSMOS -- Considerations on QSM methods with multiple and single orientations and effects from local anisotropy

TL;DR

This study evaluates the impact of non-ideal orientations and local anisotropy on COSMOS-based QSM, revealing limited advantages of multi-orientation over single-orientation methods in vivo due to practical constraints.

Contribution

It provides a comprehensive analysis of COSMOS QSM under realistic in vivo conditions, including non-ideal rotations and anisotropy effects, highlighting the limitations of multi-orientation approaches.

Findings

In-vivo feasible COSMOS yields high-quality maps with increased SNR.

Non-ideal rotations require additional regularization to reduce artifacts.

Anisotropy effects and acquisition complexity limit the benefits of multi-orientation COSMOS.

Abstract

Purpose: Field-to-susceptibility inversion in quantitative susceptibility mapping (QSM) is ill-posed and needs numerical stabilization through either regularization or oversampling by acquiring data at three or more object orientations. Calculation Of Susceptibility through Multiple Orientations Sampling (COSMOS) is an established oversampling approach and regarded as QSM gold standard. It achieves a well-conditioned inverse problem, requiring rotations by 0{\deg}, 60{\deg} and 120{\deg} in the yz-plane. However, this is impractical in vivo, where head rotations are typically restricted to a range of +-25{\deg}. Non-ideal sampling degrades the conditioning with residual streaking artifacts whose mitigation needs further regularization. Moreover, susceptibility anisotropy in white matter is not considered in the COSMOS model, which may introduce additional bias. The current work presents a thorough investigation of these effects in primate brain. Methods: Gradient-recalled echo (GRE) data of an entire fixed chimpanzee brain were acquired at 7 T (350 microns resolution, 10 orientations) including ideal COSMOS sampling and realistic rotations in vivo. Comparisons of the results included ideal COSMOS, in-vivo feasible acquisitions with 3-8 orientations and single-orientation iLSQR QSM. Results: In-vivo feasible and optimal COSMOS yielded high-quality susceptibility maps with increased SNR resulting from averaging multiple acquisitions. COSMOS reconstructions from non-ideal rotations about a single axis required additional L2-regularization to mitigate residual streaking artifacts. Conclusion: In view of unconsidered anisotropy effects, added complexity of the reconstruction, and the general challenge of multi-orientation acquisitions, advantages of sub-optimal COSMOS schemes over regularized single-orientation QSM appear limited in in-vivo settings.