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Here, the parameters α and β play the key role in our forward-backward diffusion to determinate magnitudes and directions of diffusion velocity.
The effect of noise is rather straightforward: it produces unwanted principal directions of diffusion, yielding aberrant and missing connections [24], [25].
Schematically, insufficient angular and spatial resolutions yield 1) biased principal directions of diffusion (e.g. smoothing of two diffusion peaks into one) 2) partial volume effects [40] which can be the cause of constructing aberrant fiber tracts.
Data obtained with different directions of diffusion encoding were processed separately and then averaged.
Alternatively, for some applications, it may be desirable to 'average out' the effects of preferential directions of diffusion.
Therefore, the six possible directions of diffusion on the honeycomb structure were assigned different weights, with the highest probability for the atom to continue in its original direction.
Similar(53)
To further explore the direction of diffusion, we found that RD (diffusivity perpendicular to the length of the axons) significantly contributed to explaining individual differences in delay-discounting performance (r= −0.52, P= 0.001).
From the diffusion tensor data, information about the average diffusivity, diffusion anisotropy, and the principle direction of diffusion can be calculated (Basser and Pierpaoli 1996; Basser et al. 2000).
(1) where J is the diffusion flux, D is the diffusivity, C is the concentration, and x the position in the direction of diffusion.
They appeared as white disks less than 1 mm thick, perpendicular to the direction of diffusion.
Those needs lie heavily in the direction of diffusion and learning.
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