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. 2014 May 9;9(5):e96726. doi: 10.1371/journal.pone.0096726

Table 1. Single cell statistics of cln3 strain (mass doubling timeInline graphic min): experimental and simulation values (before and after parameter optimization).

Experiment [7] Simulation before optimization Simulation after optimization
Mean cycle time (M) 71.00 min 77.10Inline graphic0.44 min 73.46 Inline graphic 0.19 min
Mean cycle time (D) 94.00 min 87.18Inline graphic0.69 min 92.54Inline graphic0.49 min
Mean Inline graphic (M) 18.00 min 28.65Inline graphic0.36 min 24.75Inline graphic0.18 min
Mean Inline graphic (D) 36.00 min 39.97Inline graphic0.51 min 45.63Inline graphic0.38 min
CV cycle time (M) 0.17 0.19Inline graphic0.01 0.13Inline graphic0.00
CV cycle time (D) 0.24 0.31Inline graphic0.01 0.27Inline graphic0.00
CV Inline graphic (M) 0.38 0.51Inline graphic0.01 0.38Inline graphic0.01
CV Inline graphic (D) 0.52 0.64Inline graphic0.01 0.51Inline graphic0.01
# complete cycles - 2558Inline graphic226 2573Inline graphic241
Cycle failure ratio - 0.00Inline graphic0.00 0.00Inline graphic0.00
Fitting error - 0.23Inline graphic0.01 0.14Inline graphic0.00

Parameter optimization results in 39% reduction in the fitting error. Fitting error is defined as Inline graphic, where Inline graphic and Inline graphic are the statistical data points in simulations and experiments, respectively (Inline graphic: mean cycle time of mothers, Inline graphic: mean cycle time of daughters, Inline graphic: mean G1 duration of mothers, Inline graphic: mean G1 duration of daughters, Inline graphic: CV of cycle time among mothers, Inline graphic: CV of cycle time among daughters, Inline graphic: CV of G1 duration among mothers, Inline graphic: CV of G1 duration among daughters, and Inline graphic through Inline graphic denote the simulation values for the same statistics). Simulation statistics (mean Inline graphic standard deviation) are computed from 15 independent realizations. In each realization, eight pedigrees are generated. Each pedigree of cells is initiated by a single daughter (D) or mother (M) cell. CV denotes coefficient of variation (standard deviation normalized by the mean), whereas Inline graphic represents the G1 duration. Experimental mass doubling time of 84 minutes [7] is used in the simulations. The number of failed cycles (due to event execution errors listed in Table S9) normalized by the number of complete cycles is the cycle failure ratio. Matlab script to reproduce the mean and CV values (rightmost column) is provided as File A in File S1.