Figure 9

Independent estimates of D , q and λ predict the density profiles in the cell colony. Experimental measurements of the cell density profile are compared with the predictions of the mathematical model using the parameter estimates reported previously. Images of the transects for the experiments initialised with 30,000 cells are shown at t=0 hours (A), at t=48 hours where proliferation was suppressed (B), and at t=48 hours where proliferation was not suppressed (C). The scale bar corresponds to 1.5 mm. Experimental histograms and the corresponding simulated cell density profiles for all sets of experiments at t=0, t=24 and t=48 hours, both with and without proliferation, are shown in (D–G). Simulations were averaged over five identically–prepared realisations. Model simulations of the experiments initialised with 20,000 cells correspond to D=162μ m²hour⁻¹, q=0.3 and λ=0.0305hour⁻¹, and for experiments initialised with 30,000 cells, simulations correspond to D=243μ m²hour⁻¹, q=0.5 and λ=0.0398hour⁻¹.