Table 1 Model variables and parameters used throughout this study
From: Cue-driven microbial cooperation and communication: evolving quorum sensing with honest signaling
Symbol | Values in the configuration field model | Values in spatial simulations | |
|---|---|---|---|
Fitness of player \(i\) | \({w}_{i}\) | Equation 1 | Equation 1 |
Fitness difference of players \(i\) and \(j\) | \(\Delta {w}_{ij}\) | Calculated from \({w}_{i}\) and \({w}_{j}\) | Calculated from \({w}_{i}\) and \({w}_{j}\) |
Probability that the offspring of player \(i\) replaces player \(j\) | \({p}_{ij}\) | Equation 2 | Equation 2 |
Population size | \(P\) | \(\infty\) | \(90.000\) |
Neighborhood size | \(N\) | \(9\) | \(9\) |
Selection strength | \(\sigma\) | \(1\) | \(1\) |
Cost of signal detection | \(r\) | \(0.01, 0.20\) | \(0.01, 0.05, 0.10\) |
Cost of signaling | \(s\) | N/A | \(0.01, 0.05, 0.10\) |
Cost of cooperation | \(c\) | \(0.3\) | \(0.2, 0.3\) |
Baseline cost | \({c}_{0}\) | \(1\) | \(1\) |
Benefit of cooperation | \(b\) | \(0.3, 0.5, 0.6, 0.65\) | \(0.5, 0.8\) |
Mean no. of diffusion steps per generation | \(D\) | N/A | \(0.0, 0.1, \dots , 1.0\) |
Quorum signal threshold | \(Q\) | \(Q=\upkappa\) | \(Q=\upkappa\) |
Cooperation threshold | \(\upkappa\) | \(3\) | \(2, 3, \dots , 6\) |
Functional mutation rate | \(\rho\) | 0 | \({0, 10}^{-4}\) |
Grid size | \(M\) | N/A | \(300\times 300\) |
Generation count | \(G\) | \(10.000\) | \(10.000\) |