Figure 3. The growth-progression model.

(A) Scheme of the growth-progression model with heritable variables relating to cell size $s$ and cycle progression timing $p$. (B) Measured and simulated cell-cycle length distributions (upper). Model distribution resolved by the division-limiting process (lower). (C) Measured and modeled correlation pattern with Spearman rank correlation coefficient and bootstrap 95%-confidence bounds. (D) Proportion of simulated cells limited by growth or progression. (E) Correlation of simulated mother-daughter cycle lengths colored by their division limitation: both by ${\tau }_g$ (black), both by ${\tau }_p$ (green), mother ${\tau }_p$ – daughter ${\tau }_g$ (magenta), mother ${\tau }_g$ – daughter ${\tau }_p$ (cyan). Percentage of cells in each subgroup and their correlation coefficients are shown. (F) Correlation of simulated cousin-cousin cycle length colored by the limitation of the common grandmother: by ${\tau }_g$ (orange) or ${\tau }_p$ (blue). (G) Autocorrelations along ancestral line of cycle length $\tau$, growth time ${\tau }_g$ and the progression time ${\tau }_p$, and the cross-correlation ${\tau }_p{\tau }_g$.

Figure 3—figure supplement 1. Parameterized growth-progression model generates long-range memory.

(A) Best fit (red dot) and confidence bounds of the six model parameters fitted individually to each dataset by Approximate Bayesian Computation at a tolerance $ϵ$ = 2. See Appendix 3 for details. (B) Simulated distributions of cell age and cell size over time showing median (black line) and interquartile range (gray). (C and D) Parameterized model fit to the experimental data, showing (C) the distribution of cycle length (upper) resolved by the division-limitation (lower) and (D) the correlation pattern with bootstrap 95%-confidence bounds. (E) Frequency of simulated cells limited by growth or progression showing the mean of 100 simulations using best-fit parameters. (F) Correlation of simulated cousin-cousin cycle length colored by the size common grandmother: smaller than the median value (orange) or larger (blue). (G) Best-fit predicted Spearman rank autocorrelations of the cycle length $\tau$, the growth time ${\tau }_g$ and the progression time ${\tau }_p$, and the cross-correlation ${\tau }_g\mathrm{}{\tau }_p$.