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The menu — eight courses, designed for a broader spectrum of the beer-drinking public and meant to be consumed in just twenty minutes — was the diffusion version of Wolvesmouth.
However, comparing to the linear diffusion equation with the property of infinite speed of propagation of perturbations, it should be more reasonable to introduce the nonlinear diffusion version of equation (1.1), namely begin{aligned} frac{partial u}{partial t}-d(t)operatorname{div}bigl(|nabla u|^{p-2}nabla u bigr) =u x,t) bigl(a+b u^{m} x,t-tau -c u^{n}(x,t-tau -cigr).
DW imaging-derived parameters were evaluated separately based on the IVIM model, yielding the parameters perfusion fraction f and diffusion constant D, using open-source software developed in-house (MITK Diffusion, Version 2011).
Therefore, the complete tumor volume was manually segmented (macroscopic necrosis was excluded) on DW-derived b = 800 s/mm images and contoured along the edge of the tumor in axial, coronal, and sagittal reconstruction (Fig. 3a c), section by section using software developed in-house (MITK Diffusion, Version 2011; DKFZ, Heidelberg, Germany).
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Results were organized into different sections: description, origin, diffusion, modified versions and psychometric properties.
Diffusion-weighted images were preprocessed using FSL (http://www.fmrib.ox.ac.uk/fsl/), and then DT in every voxel and the DT-derived maps, that is, mean diffusivity (MD) and fractional anisotropy (FA), were estimated using Diffusion Toolkit software version 0.4.2 (http://www.trackvis.org/), following a process described elsewhere [ 16].
Image distortions and motion artifacts in the DTI dataset were corrected by applying affine alignment of each diffusion-weighted image to the b = 0 image, using FMRIB's Diffusion Toolbox (FSL, version 3.3; www.fmrib.ox.ac.uk/fsl).ac.uk/fsl
Eddy current distortions and motion artifacts in the DTI dataset were corrected by applying affine alignment of each diffusion-weighted image to the b = 0 image, using FMRIB's Diffusion Toolbox (FSL, version 3.3; http://www.fmrib.ox.ac.uk/fsl).ac.uk/fsl
The microscopic (sub-cellular) description is used to develop an upscaled version of diffusion and reaction in biofilms and other cellular media.
A refinement of FLIP [Brackbill and Ruppel, J. Comput. Phys.65, 314 (1986)] is described which uses a mass matrix formulation to achieve greater accuracy and less numerical diffusion over the previous version.
During the adaptive simulation, the load balancer calculates a balancing flow using different versions of the diffusion algorithm and a variant of breadth first search.
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