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The Peclet number is a dimensionless number indicating the ratio of the rate of advection to diffusion; a small Peclet number indicates excessive diffusive mixing while a large Peclet number indicates a sharp interface between the streams.
Based on prior work on irreversible tracers [ 8, 9] and the rapid uptake of F− by remodeling bone [ 6, 10, 11] and approximating the expected activity in a VOI due to diffusion, a Patlak-like analysis was performed.
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This outcome also demonstrates the exquisite sensitivity of the pCF approach to the presence of obstacles to diffusion, an information not available with other classical non-imaging methods.
Both cell lines also constituted a barrier to diffusion of a fluoresceinated dextran of 75 kDa, a size similar to eGPx homotetramers.
Using these data, it was possible to visually discriminate between a film subject only to diffusion and a film subject to diffusion as well as osmotic effects.
There are several alternatives to diffusion as a mechanism for morphogen transport.
The analytical solution then corresponds to diffusion with a concentration clamped at zero, which matched the STEPS simulation closely.
However the causes of anomalous diffusion can be many and, as previously mentioned, the available data does not point conclusively to diffusion within a confined domain [ 48].
If a molecule has been selected to undergo diffusion, a random number trial with probability pdiff(i ) is used to determine whether the diffusion move will occur successfully.
It involves acquiring a series of diffusion-weighted images, each corresponding to diffusion sensitization along a particular gradient direction.
However in the case of quite weak diffusion, the coupling due to diffusion leads to a regular spatiotemporal oscillatory behaviour in appropriate regions.
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