Modeling of synchronized genetic clocks. (
a) A typical time series of concentrations of LuxI (cyan circles), AiiA (blue circles), internal AHL (green line), and external AHL (red line). LuxI and AiiA closely track each other, and are anti-phase with the concentrations of external and internal AHL. (
b) Period of oscillations as a function of the flow rate µ at cell density
d = 0.5 (top panel). Period as a function of the amplitude of oscillations for the same cell density (bottom panel). (
c) Period and amplitude as a function of cell density and AHL decay rate µ. Oscillations occur over a finite range of cell densities, and period increases with µ after the bifurcation line is crossed. The results in (
c) and (
d) compare favorably with the experimental results in . (
d) Speed of wave front propagation as a function of the diffusion coefficient
D1. The numerical data scale as

(red line). (
e) Space-time diagram of traveling waves propagating through a uniform array of cells corresponding to the experiment depicted in . (
f) Space-time diagram of bursting oscillations in a growing0020cell population corresponding to the experiments in .