Mathematical modelling reveals unexpected inheritance and variability patterns of cell cycle parameters in mammalian cells
Fig 4
Comparison of simulation results obtained by proposed model and Wright-Fisher model.
(A) Main assumptions of Wright-Fisher model and our model are presented in separate boxes. The most important difference concerns population size, constant in Wright-Fisher and variable in our model. Series of in silico experiments were performed with different initial population sizes of 3, 25, and 100 cells drawn from previously generated populations. Each cell was characterized by different cell-cycle time and at the time 0 cells were not synchronized (i.e. cells were spread over different cell-cycle phases). (B–D) Example of performed simulations for initial population with N = 3. B) Descendants of ancestor cells are identified and counted. Total population size is marked by black dashed line. C) The fractions of the progeny in population were calculated. We analyzed the fraction of progeny in the population at time 300, but the level is determined after t = 200. Simulations were repeated until required sample size was obtained. D) Cumulative distribution functions for simulation data and Wright-Fisher model. (E) Comparison of simulation data and Wright-Fisher model for three different values of initial cell count N. Histograms of simulation datasets (left) and random numbers drawn from estimated binomial distribution with K (right) represent the fractions of progeny in population after 300 h of simulations. Cumulative distribution functions for both cases are also presented to compare the tails of distributions.