Sentence examples for diffusion grid from inspiring English sources

The use of a structured population - a spatial distribution of individuals in the form of either a set of islands or a diffusion grid - determines the dynamical processes that can take place in complex systems.

From this relation, we chose diffusion grid size nc = 50 μm, and consequently, each diffusion grid contains 10 × 10 × 10 cells.

For instance, at each time-step within a diffusion grid, the total amount of nutrients consumed should be considerably smaller than available nutrients.

Spatially, cell actions took place on a cell grid with single-cell resolution (5 μm), while nutrient distributions were followed on a diffusion grid at lower spatial resolution (∼15 to 60 μm).

In equations (4) and (5), n u and n q are the number of consuming and releasing cells within the diffusion grid, respectively, K MM is the Michaelis-Menten constant for uptake, v m is the maximum uptake rate per cell, and ρ is the release rate per cell.

Equation (3) states that S, the amount of limiting nutrient in a diffusion grid, depends on three processes: i) diffusion of nutrient with diffusion constant D, ii) uptake of nutrients (Walther et al., 2005) by cells (U), and iii) in cooperative communities, release of nutrients by the partner population (Q).

To ensure stability of the finite-difference equations for diffusion, the diffusion grid-size (nc) and the time-step (dt u ) for the diffusion equation have to satisfy (Iserles, 2009) (9) d t u < 1 2 (n c ) 2 D, where D is the diffusion constant in the region of interest.

(B ) When the diffusion constants of nutrients in the yeast community were modeled to be that of the fluorescent dye Sulforhodamine 101 (∼20 μm/s; Figure 2 figure supplement 1G ), we implemented community diffusion and agarose diffusion grids of 3- and 12-cell grid width, respectively, to accommodate two diffusion constants.

This inconvenience can be solved using anti-diffusion grids which are installed in the X-ray apparatus eliminating about 90% of this radiation.

The advantages of the proposed sharpening scheme lie on the facts that a) it is mass conservative thus its application does not have a negative impact on one of the most important benefits of VOF method and b) it can be used in coarser grids as now the suppression of the numerical diffusion is grid independent.

Decoupling the transport problem from the underlying 3D geological model results in a significant computational efficiency while minimizing numerical diffusion and grid orientation effects (Thiele et al. 1997; Samier et al. 2001).