This approach is consistent with the community diffusion model we used to design our intervention because we expected that the intervention's messages would be disseminated to women visitors.
After each cell state update, the diffusion coefficient is updated: the diffusion coefficient in each community diffusion grid (15 μm × 15 μm × 15 μm, maximally containing 3 × 3 × 3 = 27 cells of size 5 μm × 5 μm × 5 μm) is assumed to be proportional to the occupancy of that grid, changing from 0 to 20 μm/s.
(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.
The schematic at bottom left shows the basic S-HDS feedback structure; the discrete and continuous systems in this framework model the inter-community and intra-community diffusion dynamics, respectively.
This threshold behavior is illustrated in the plot at the top right of Figure 7, which shows the way probability of global propagation increases with inter-community interaction rate when the intra-community diffusion is sufficiently infective (i.e., R ≥ 1).
These dynamics quantify intra-community diffusion of the innovation of interest, for instance through models of the form ΣH. The Markov chain matrix Λ x) specifies the transition rates for discrete state transitions q → q′ and depends on both Gsc and x (e.g., the rate at which community v will "infect" other communities depends upon the fraction of adopters in v).
Topics include methods for link analysis and network community detection, diffusion and information propagation on the web, virus outbreak detection in networks, and connections with work in the social sciences and economics.
Topics: statistical properties of large networks, models of social network structure and evolution, link prediction, network community detection, diffusion of innovation, information propagation, six-degrees of separation, finding influential nodes in networks, disease outbreak detection, networks with positive and negative ties, and connections with work in the social sciences and economics.
There are strong indications that the contaminant in soils can be transported to the degrading community via diffusion, resulting in mass transfer of the substance to the degradation location on the particles [31].
It may well be the case that the incorporation of explicit spatial information (i.e., the cells' relative position to each other in the community) and diffusion term of the extracellular factors partly solves the problem of unrestricted spread of the community effect in the current model (also see additional file 1).
We conclude that having a local infrastructure of social ties available in a community predicts the diffusion of available health care services in that community.
