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Figure 2. Anterior (upper panels) and lateral (lower panels) views of plots of ellipsoids of mean intercept lengths and Youngs moduli. The axes of the ellipsoids correspond to 3 principal directions. The distance from the surface to the center of the ellipsoid depicts the magnitude of mean intercept length or Youngs modulus. The three-dimensional orientation of the ellipsoids is emphasized by the meridians. Ellipsoids were constructed with the average H1, H2, and H3, and the average E1, E2, and E3 (n = 11; see Table for means and SD values). Differences in the magnitude of the mechanical ellipsoids are primarily related to differences in bone volume fractions (compare superolateral and inferomedial regions). Differences in the magnitudes of the principal directions are related to the amount of structural and mechanical anisotropy. Since the mechanical anisotropy (E1/E3) is larger than the structural anisotropy (H1/H3), the Youngs moduli ellipsoids are flatter than the mean intercept length ellipsoids.
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