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For small values of the diffusion constant, we find a difference between the two models similar to that which Tanskanen et al. (32) find.
The number of lacunae is the largest for small values of the diffusion coefficient (around D=4.3∗10−14 m/ s), whereas no lacunae are formed for large values of the diffusion coefficient.
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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.
These results illustrate why the RW model starts to differ from the continuous model for low values of the diffusion constant together with small values of the spatial resolution.
By contrast, for very large molecular assemblies such as amyloid fibrils, Deff can include contributions from rotational diffusion such that Deff > Dtrans for small values of Δ (31).
The Lyapunov functional is chosen with a constant kernel for the small values of the so-called Peclet number (i.e. the quotient of diffusion to convection time) and with a spatial-dependent kernel for high Peclet numbers.
It is found that the temperature rise when diffusion is the dominant transport mechanism (i.e., at small values of the Rayleigh number) is directly proportional to the ratio of the characteristic timescales for diffusion and for the reaction.
It is thus most suitable for modeling small values of physical mass diffusion, for which adequate numerical resolution is computationally demanding.
A small value of apparent diffusion coefficient was required to explain the measurements on cardiac myofibrils (33) and the kinetics of ATP-sensitive potassium channel (1, 15).
On other words, temperature gradient exists but due to very small value of thermal diffusion, its effect is not considerable.
For large values of the diffusion coefficient, the total noise decreases as the diffusion rate increases.
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CEO of Professional Science Editing for Scientists @ prosciediting.com