Asymmetric susceptibility tensor imaging.

ABSTRACT:

Purpose

To investigate the symmetry constraint in susceptibility tensor imaging.

Theory

The linear relationship between the MRI frequency shift and the magnetic susceptibility tensor is derived without constraining the tensor to be symmetric. In the asymmetric case, the system matrix is shown to be maximally rank 6. Nonetheless, relaxing the symmetry constraint may still improve tensor estimation because noise and image artifacts do not necessarily follow the constraint.

Methods

Gradient echo phase data are obtained from postmortem mouse brain and kidney samples. Both symmetric and asymmetric tensor reconstructions are applied to the data. The reconstructions are then used for susceptibility tensor imaging fiber tracking. Simulations with ground truth and at various n

SUBMITTER: Cao S 

PROVIDER: S-EPMC8678077 | biostudies-literature | 2021 Oct

REPOSITORIES: biostudies-literature