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Meanwhile, the stretched exponential distribution is described by a characteristic length scale, implying preferred diffusion of particular-size proteins.
From the fitted tensors, the fractional anisotropy (FA) and preferred diffusion direction, corresponding to the tensor's principal eigenvector, were derived for each voxel.
Thus, in the constant (homogeneous) region, there is no preferred diffusion direction and the diffusion tensor is isotropic.
A tensor was computed from the diffusion profile of each voxel using a robust tensor fitting method (Chang et al., 2005), and the preferred diffusion direction was computed as the principal eigenvector of the eigenvalue decomposition of the fitted tensor.
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The spatial variation of this diffusion coefficient occurs in such a way that it prefers forward diffusion to backward diffusion resulting in effective reconstruction of structural content and detection of weak edges.
Therefore, the nanostructure resulted in a relative lower height along [01−1] because the surface diffusion is higher along this direction as the dangling bonds are reconstructed in a way that prefers the diffusion along the [01−1] direction [38].
A natural way to construct diffusion tensor D is from structure tensor J such that D has the same eigenvectors as J and its eigenvalues prefer the diffusion along the coherent direction than across to it.
Experiments show that by our approach the diffusion is preferred along the desired coherent direction for the image features that are precisely described by the proposed complementary structure tensor.
In the planar structures, the mixed-halide perovskites are preferred because the charge diffusion length of the mixed-halide perovskites can be larger than the depth of the light absorption, which is the film thickness in planar structures [18 22].
Whereas the diffusion is not preferred at the direction of e ( c o ) ⊥ as the diffusivity is very small there.
As water molecules within the spinal cord prefer a craniocaudal diffusion direction along white matter fibers they are illustrated mainly in blue color.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com