Sentence examples for diffusion is required from inspiring English sources

An isotropic diffusion is required in homogeneous domain and AD is needed in the domains of edges and local details.

In this method, the forward diffusion is required to be non-degenerate and the coefficients are required to be deterministic.

Materials with interpenetrating, bimodal meso macropore networks have been prepared using microemulsion [90] or co-surfactant [91] templating routes and are particularly attractive for liquid phase, flow reactors wherein rapid pore diffusion is required.

Using 2 nm sized NPs, with an initial concentration of 1 mg·g−1, we found that 2 10 days of diffusion is required to obtain desired concentrations of CONPs in regions 1 2 cm away from the lumpectomy wall.

The concept of an effectiveness factor, akin to the analysis of reactions in porous catalysts, is applied to the spatial gradient sensing problem, with the distinction that slow, not fast, diffusion is required for effective gradient sensing.

If budget allows, new drugs should be offered fast and homogeneously to the population in need a strategy built upon the key determinants of new drug diffusion is required.

In the former case, a continuous subsurface layer of Z-Ti50Al30O20 formed from γ by essentially equal amounts of oxygen enrichment and aluminium depletion; essentially no titanium diffusion was required.

In order to describe diffusive transport of solutes through a porous material, estimation of effective diffusion coefficients is required.

For example, knowledge of liquid-state diffusion coefficient is required to understand important material processing techniques.

Second, a depletion layer of reactants in the interfacial region is formed with the progression of reaction, and center-of-mass diffusion of reactants is required for further reaction which results in a transition of the power law relationship into [Area] ∼ t1/2.

Auxin transport via a diffusion-like mechanism is required to generate realistic branching patterns.