Sentence examples for diffusion vector from inspiring English sources

In addition, the equilibrium of interest is globally stable in probability and the outputs can be regulated to the origin almost surely when the drift and diffusion vector fields vanish at the origin.

Then, for systems with relaxed diffusion vector fields, a decentralized adaptive stabilizing scheme is proposed to ensure the boundedness in probability of all signals in the closed-loop system.

end{aligned} end{aligned} (23) So, clearly, our nonlinear SDE is said to have multiplicative noise as the diffusion vector field depends multiplicatively on the solution [18].

Diffusion-weighted MRI data were processed using the FSL diffusion toolbox (FDT) (Behrens et al. 2003 a ) with a pipeline developed in-house to compensate for gradient-induced-heating drift and eddy-current distortions, to give maps of fractional anisotropy, mean diffusivity and principle diffusion vectors (Miller et al., 2011).

Fiber tracts (e.g., axons) can be deduced by calculating the cumulative molecular water diffusion vectors.

The relatively complex architecture of the pubovisceral muscle together with the relatively large voxel size and subsequent partial volume effects with potentially bending of effective diffusion vectors, made fibre tracking of the overall pubovisceral muscle in this study rather challenging with the currently applied MRI techniques.

The parameters used in this correction were also applied to the diffusion gradient vectors such that both the image data and the vector data were appropriately aligned.

A set of necessary conditions for the choice of diffusion gradient vectors to make the linear equations nonsingular for the estimation of the diffusion matrix are given in a coordinate free manner.

The R-S binding energies cause changes in the compositional diffusion flux-vectors in and out of γ′(L12 -precipitates, which resuL12 -precipitatesent Ni retention-excesses and which interesultl composinionalargerhsolvent6 h, wheNicompared with the base Ni-Al-Cr alloy.

Mechanical vibrations of the patient table stimulated by the low-frequency gradient switching for diffusion-weighting can produce severe artifacts, which may manifest as localized signal loss when there is a strong component of the diffusion-gradient vector in the left right direction [58].

DWI images were acquired with three b-values (0, 1000, and 2000 s/mm) and diffusion encoding vectors along 25 nonparallel directions for each nonzero b-value.