| Literature DB >> 24167448 |
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Year: 2013 PMID: 24167448 PMCID: PMC3805469 DOI: 10.1371/journal.pbio.1001691
Source DB: PubMed Journal: PLoS Biol ISSN: 1544-9173 Impact factor: 8.029
Figure 1Simulations of a simple percolation network.
A 100×100 matrix was created with each position on the lattice being given a random number between zero and one. To simulate a simple percolation network [13] with increasing connectivity a threshold value was raised in increments of 0.05 from zero to one. When the value at a given position was lower than the threshold value the position was considered connected to the four positions around it. The threshold value is therefore the probability of connection (or the inverse of friction). (A) Four colored plots show the size and shape of clusters at different threshold values (0.4, 0.5, 0.6, 0.8) where the cluster is colored by its size. (B) The total number of clusters for three independent simulations. The plot shows an increase in the number of small clusters to a certain level after which the number of clusters drop as they start to connect. Overall behavior is similar between three independent simulations. (C) The size of the largest cluster in the model. Up to a specific connection probability the simulation is dominated by many small clusters. At a specific probability a rapid change in size is observed as the majority of clusters connect. Behavior is highly consistent across three independent simulations. The code used to generate the figures is available at: https://gist.github.com/cameronneylon/6033364.