Origins of R2 Orientation Dependence in Gray and White Matter
R* PNAS PLUS Origins of 2 orientation dependence in gray and white matter David A. Rudkoa,b, L. Martyn Klassenb, Sonali N. de Chickerac, Joseph S. Gatib, Gregory A. Dekabanc,d, and Ravi S. Menona,b,1 aDepartment of Physics and Astronomy, University of Western Ontario, London, ON, Canada N6A 3K7; bCenter for Functional and Metabolic Mapping and cMolecular Brain Research Group, Robarts Research Institute, London, ON, Canada N6A 5B7; and dDepartment of Microbiology and Immunology, University of Western Ontario, London, ON, Canada N6A 5C1 Edited by Marcus E. Raichle, Washington University in St. Louis, St. Louis, MO, and approved November 27, 2013 (received for review April 5, 2013) R* Estimates of the apparent transverse relaxation rate ( 2) can be orientations and (ii) magnitude-regularized dipole inversion (14). used to quantify important properties of biological tissue. Surpris- The difference between these two estimates represents the local R* ingly, the mechanism of 2 dependence on tissue orientation is not frequency shift due to a cylindrical, axon geometry and is a marker well understood. The primary goal of this paper was to character- of axonal integrity. R* ize orientation dependence of 2 in gray and white matter and Having modeled the orientation dependence, we next exam- relate it to independent measurements of two other susceptibility ined the effect of myelin and iron on both Rp and Δχ.We f 2 based parameters: the local Larmor frequency shift ( L) and quan- demonstrated a linear correlation between these quantities and titative volume magnetic susceptibility (Δχ). Through this compar- R′ optical density (OD) derived from diaminobenzidine (DAB)- ative analysis we calculated scaling relations quantifying 2 (reversible contribution to the transverse relaxation rate from lo- enhanced Perls stain (sensitive to ferritin-based iron) for cortical cal field inhomogeneities) in a voxel given measurements of the gray matter.
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