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].