Supporting information for Igoshin et al. (2001) Proc. Natl. Acad. Sci. USA 98 (26), 14913–14918. (10.1073/pnas.221579598)
In all movies, a is a density plot, and b is a profile view computed from Fokker–Planck Eq. 3. Individual cells are followed by solving Langevin Eqs. 1 and 2 for material points.
Supporting Movie 2aMovie 2.
Colliding waves. (a) With periodic boundary conditions, a stationary solution is the sum of right- and left-going waves. The movie shows a colliding pair of oppositely propagating wave trains on scale of a few wavelengths. The tilt of the waves derives from the density gradient in the y direction behavior of these waves. (b) Tracking individual cells superimposed on the wave train is most easily seen by setting the density in the y direction constant. Initially, red and blue cells are in the crest of two waves destined to collide. With time, some of the cells change, switching one wave train to the other, so outgoing waves from a collision are comprised of cells from both incoming waves. (c) Same as b but for tilted waves in two dimensions. Here most cells simply alternate between the crests of the colliding wave trains.