Fig. 4: Simulation results.
From: An Allee-based distributed algorithm for microbial whole-cell sensors
a Plot of the net birth rate H cells (dH/dt) versus H for different σ. Equilibrium points of H are the roots of dH/dt. b Plot of H(t) over time t. For values of σ bellow the critical σc, H(t) converges to H cell densities below αiP (consistent with Corollary 1). For values of σ above σc, H(t) converges to H cell densities above αfP (again, consistent with Corollary 1). For σ = 3.05 h−1, the plotted time range is not enough to show convergence of H(t). c Plot of H(t) and the analyte concentration A(t) over time t. The analyte concentration was chosen as a negative step function with different durations until the step. One observes that below a certain exposure time of the cells to the analyte, the analyte is not memorized by the algorithm. Above this exposure time, the detection of the analyte is memorized even if it removed thereafter (consistent with Corollary 2). d Plot of H(t) and the analyte concentration A(t) over time t. The analyte concentration was chosen as a pulse of varying amplitude. One observes that below a certain amplitude, the detection is not memorized, while above it is memorized.
