Extended Data Fig. 3: Numerical implementation of the model and parameter selection.

a, Snapshot of the numerical simulations of a system of size L = 25. The cells can adopt three different states, depicted with three colors: white (state \({{{\mathcal{S}}}}\)), red (state \({{{\mathcal{D}}}}\)) and blue (state \({{{\mathcal{U}}}}\)). b,c, Scheme of the interaction neighborhood of a given cell ij and the absorbing boundary conditions used for the numerical simulations. Each cell is affected by its 8 nearest neighbors (Moore neighborhood). d,e, Plot of the interaction term of the transition rate given in equation (15) for constant neighbor coupling θ and constant parameter μ respectively. f,g, Plot of the auxiliary functions ϵ₁(ω, θ, μ) and ϵ₂(ω, θ, μ) for μ = μ^⋆=1. In each plot, the orange line denotes the region where the auxiliary functions are minimized. The crossing of both lines is denoted by blue arrows. h, Plot of ϵ (ω^⋆, θ^⋆, μ) for different values of μ. The minimal value is reached at μ^⋆=1.