Tracking collective cell motion by topological data analysis
Fig 20
Persistent homology for the border of two colliding populations.
We should stress that these examples use schematic figures, with clear fronts, not results from experiments or simulations (which have larger noise, and less clear features). Thus, the persistent homology of schematic figures is clearer and easier to interpret. (a) Interface separating the two populations. (b) Barcodes for the Betti numbers b0 (H0) and b1 (H1), and (c) Persistence diagram with rmax = 0.4 and N = 100. (d)-(f) Vietoris-Rips simplicial complexes formed increasing the filtration parameter r. S17 Data have been used to draw this figure.