We proved that large cross-diffusion will result in non-existence of the coexistence (Theorem 3.2), whereas coexistence is possible if the cross-diffusion coefficients are small (Theorem 3.1).
As far as we know, on the propagation of the species, large cross-diffusion will result in more complex dynamic behavior in ecology, for example, large cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system [27]; see also [19, 28] and the references therein.
Both chemical exchange and magnetization exchange (due to spin-diffusion) will result in cross-peaks situated off the H vs H diagonal.
This shows that the presence of attractive interactions between diffusing particles will result in a slowdown of diffusion of molecules.
Indeed, modelling predicts that broadening of the Wg production zone threefold, with a subsequent fivefold increase in the diffusion coefficient D, will result not in a reduction, but broadening of the short-range targets; a reciprocal narrowing of the Hh production zone with a concomitant increase of the diffusion coefficient predicts a Wg-like behaviour and reduction in the short-range targets.
When the DWI sequence contains b-values in the microperfusion range, and the microperfusion is relatively high compared with the diffusion component, then the model will result in a high ADC compared with D slow.
In addition, the presence of pus will result in restricted diffusion on DWI [19].
For the dynamic quenching, higher temperatures will result in faster diffusion and larger amounts of collisional quenching.
The progression of the technology will result in greater diffusion of various kinds of efficient electrical appliances, the use of electric power in industry, agriculture, commerce, and domestic sectors will be more extensive.
One model has demonstrated that drug efflux from cells, enhanced by PgP, will result in a longer diffusion length [ 39].
