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In our further work, we will consider more simple and practical methods which will be used to simulate a broader class of SDEs whose diffusion coefficient is a function of t and x.
We hope our theory could be helpful to understand the kinetic behaviour of hydrogel during diffusion, especially for the diffusion of hydrogel in the deep sea, whose diffusion can be much accelerated by the hydraulic pressure.
To show that the PIFE method proposed in this paper can also be applied to anisotropic elliptic interface problems, we provide a numerical example in this subsection, whose diffusion coefficients are piecewise symmetric definite-positive matrices (mathbb{B}^{l}), (l=pm) satisfying (mathbb{B}^= t mathbb {B}^), (t>0), (tneq1).
Of particular importance is the novel notion that that there exists a juxtamembrane cytoplasmic region surrounding FAs, characterized by higher concentrations of FA proteins (e.g., paxillin and vinculin), whose diffusion is attenuated in this environment.
The first would involve a 'default' secretion pathway, releasing monomeric or low-degree oligomeric forms of the morphogens, whose diffusion would be very limited.
Ideally, the thickness should be reduced even further in order to also capture so-called hot electrons, whose diffusion length is extremely short.
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One attempt that has previously proved effective in addressing non-adherence is the formation of ocular inserts, such as the Ocusert®, whose diffusion-based control released an older drug (pilocarpine) for a week-long period.
A method has been developed in our laboratory by using modified Lucas cells connected to a radon source and tightly closed onto the top by the tested membranes whose radon diffusion coefficients are being measured.
Furthermore, as mentioned before, the aromatic region in F5 sample showed three different signals (Figures 1 and 4) whose averaged diffusion coefficient (9 · 10−11 m2 s−1) was significantly greater than the one for the remaining aromatic protons (5.2 · 10−11 m2 s−1) (Table 2).
As a simple-shaped laminar flame that can simulate conventional two-staged combustion devices, a methane air Smithells flame, which is a peculiar Bunsen flames whose outer diffusion flame is separated from the inner premixed flame, was studied experimentally and numerically with detailed kinetics.
In the convection-diffusion process, transport phenomena prevail diffusion, whose effects are restricted to a small part of the domain and solution values exhibit multiple characters for small values of diffusion parameter.
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