Effects of Fiber Curvature on Anisotropic Inversions in Waveguide Elastography
Anthony Romano 1 , Varsha Viswanath 2 , Jing Guo 3 , Michael Scheel 3 , Sebastian Hirsch 3 , Jrgen Braun 4 , and Ingolf Sack 3
Physical Acoustics, The Naval Research
Laboratory, Washington, DC, United States,
of Biomedical Engineering, University of California at
Davis, Davis, CA, United States,
of Radiology, Charit-Universittsmedizin, Berlin,
of Medical Informatics, Charit-Universittsmedizin,
Previously, we introduced a method called Waveguide
Elastography and implemented this to analyze the
anisotropic stiffnesses of the Corticospinal Tracts of
both healthy volunteers and patients suffering from ALS.
In these previous studies, we inverted the Orthotropic
equations of motion along the local tangent vectors of
the fiber tracts. Here, we invert along the principal
direction of fiber tracts while including the effects of
curvature. It was observed that the effects of curvature
in the calculation of the Laplacians bias the inherent
stiffness in a similar fashion as wave velocities are
altered by an index of refraction in ray theory.
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