Cell cycle analysis using numerical simulation of bivariate DNA/bromodeoxyuridine distributions

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Abstract
This report describes a mathematical model of cell proliferation for simulation of bivariate DNA/bromodeoxyuridine (BrdUrd) distributions. The model formulates the change with time in the frequency of cells with any DNA content and in the amount of incorporated BrdUrd, according to given cytokinetic parameters, i.e., durations and dispersions of cell cycle phases and DNA synthesis rate during S‐phase. We have applied this model to sequential DNA/BrdUrd distributions measured for Chinese hamster ovary cells asynchronously grown in vitro, 1 for 30 min in 10 μM BrdUrd followed by growth in BrdUrd‐free medium for 0 to 24 h, or (2) during continuous incubation in 3 μM BrdUrd plus 30 μM thymidine for 2 to 24 h. The matches between the experimental and simulated distributions give the G1, S, G2M, and total cell cycle durations (and coefficients of variation) of 5.6h (0.08), 7.0h (0.07), 1.4h (0.16), and 14.0h (0.05), respectively. The model is shown to be useful for quantitative interpretation of the bivariate distributions.