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Compared with the diffusion model we adopted in Section 2.1, the difference is that the diffusion step of Equation (4) was performed on the estimates of the target location, while now diffusion is performed on the intermediate velocity vectors as in (43).
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We will now consider diffusion out of a plane sheet of thickness l through which the diffusing substance is initially uniformly distributed and the surfaces of which are kept at zero concentration.
It is worth underlining that up to now the diffusion front has been detected only in the presence of a colored diffusing species such as either the loaded drug itself [ 15] or when a die or an indicator was added in the dissolution medium [ 4, 21], while in the present case both the drug and the complex were white.
Next, we use a similar procedure (steps B to D) to construct randomized versions of the connectivity graph (the same partition into ROIs is used); the only difference is that now the diffusion map is randomized by reshuffling arbitrarily the ODFs.
Until now, its diffusion has been limited by expensive costs, lack of trained technical operators, and absence of standardized protocols [ 6, 12].
Now, drift and diffusion coefficients have bounded growth as stated in (7); moreover, sample paths of the diffusion process (i.e., the molecular binding process) are continuous since the sample paths of the underlying Brownian motion are continuous.
Up to now only bulk diffusion has been taken into account.
Diffusion now occurs through individual hops of the species from one site to the next.
The diffusivity now becomes a function of gradients, so at the edge point the diffusion is completely inhibited and in smooth regions diffusion is allowed.
Fast-forward 15 years and Versus, the Versace diffusion line now headed up by Scottish super-designer Christopher Kane, has gone safety-pin crazy.
However, the Occupy movement is certainly far from over; it is now characterised by a diffusion of general assemblies, vibrant local discussions and ongoing protests on a range of issues.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com