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Radial and Spiral Stream Formation in Proteus mirabilis Colonies

Figure 8

A comparison of the cell-based and the macroscopic predictions of the diffusion matrix , chemotactic velocity , and the angle between and .

Here and are the diffusion rate perpendicular and in parallel to the signal gradient (along the -axis), and the cross diffusion rate. The horizontal axis () measures the signal gradient interpreted by a cell, with units . The top row is obtained with no swimming bias as in Figure 3, and the bottom row is obtained with as in Figures 4 and 6. Other parameters used are the same as in the Figures 3, 4, and 6. The blue, green, and cyan curves are obtained from stochastic simulations of the cell-based model, and the red curves are the predictions from the macroscopic chemotactic equation in [32].

Figure 8

doi: https://doi.org/10.1371/journal.pcbi.1002332.g008