Statistics of correlated percolation in a bacterial community
(A) Mother cell (m) produces daughter cell (d) with correlated signaling state at any neighboring site at which a maximum of one neighbor cell (n) is displaced. Cyan indicates that cell has the ability to signal. (B) Correlations are significantly longer than random both perpendicular (x) and parallel (y) to the signaling direction (N = 104 lattices; p < 0.001 for both assuming Gaussian errors). Compare to experiments in Fig 1D. (C) Stochasticity in division times, neighbor selection, and cell displacement reduces correlation parameter from ρdiv = 0.38 to ρadj = 0.19 ± 0.01, close to experimentally measured ρadj = 0.17 (N = 104 lattices).