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. Author manuscript; available in PMC: 2016 Dec 1.
Published in final edited form as: Math Biosci. 2015 Sep 8;270(0 0):224–236. doi: 10.1016/j.mbs.2015.08.020

Fig. 7.

Fig. 7

Comparison of the dynamical responses to a transient increase in cell influx by four different frameworks capable of modeling cells with variable lifespan and amplification factor: ODE with internal amplification (ODE IA; Inline graphic); ODE with external amplification (ODE EA; Inline graphic); ODE with age classes (ODE AC; Inline graphic); and discrete recursive equation (DRE; Inline graphic) with age classes. All models were set up with as much equivalence as possible. Panel A shows the simulation results for the total numbers of cells for all frameworks. Panels B and C show the numbers of cells in each age class of the ODE and DRE frameworks, respectively. The results are shown with a color gradient from black (first age class) to light gray (sixth age class). Only the frameworks with age classes perform reasonably well, and of these the best is DRE, as it retains the crisp temporal behavior that is expected from the biology of the system.