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However, it is not elucidated whether these deviations are numerical problems arising from the large gradients of this process, or related to the choice of diffusion model.
The simulation results were unaffected by the choice of diffusion model but were found to be sensitive to the chemical kinetic mechanism used.
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 bottom panel of Figure 7 shows the results for the other choice of diffusion barrier.
In addition to the choice of diffusion parameters, recent tractography studies illustrate the superiority of analysis methods that can manage crossing fibers [ 85, 86].
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Overall, the choice of the diffusion model appears to have low influence on the regarded reaction-diffusion models.
We conclude this section by presenting one particular choice of a diffusion coefficient and a Wiener process.
Moreover, as it was expressed by Black et al. [29], the choice of the diffusion coefficients could greatly affect the level of preservation of the edges.
The adaptation matrix C is governed by the Metropolis rule, while the choice of the diffusion matrix A follows the relative-degree rule [8].
We find somewhat better agreement with cosmic ray data during solar maximum conditions than during solar minimum conditions for the current choice of the diffusion tensor.
At the same time quantitative predictions of this novel theory and of conventional Nernst model of a stagnant layer has shown significant differences among them that cannot be avoided for any choice of the diffusion layer thickness.
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