| Abstract: | A simple simulation model is presented for growing cell populations. It consists of various ‘classes’of cells (usually thirty) with different cell cycle durations. The cells of each class are distributed in ‘compartments’(thirty to fifty) with different ages. A ‘typical cell’of each compartment is chosen at random and its behaviour weighed according to the number of cells of the compartment. When the parameters for cycle phase durations (G2, S, G1 and M) obtained from Quastler-Sherman curves on HeLa cell cultures are fed into the model and the initial distribution of cells is randomized according to the law of exponential growth, the model behaves as an exponentially growing culture with near stable values for the percentage of cells in the various phases of the cell cycle. The level of noise due to random sampling is not objectionable. The behaviour of the model is compared to that of HeLa cultures synchronized by two successive treatments with 2 mM thymidine. While a complete block of S gives very inadequate results, a slowing down of this phase to 25 or 30% of its original speed is enough to simulate all the modifications produced by the thymidine treatment on the cultures. It is not necessary to postulate any other effect. These biological conclusions are reached in spite of the simplicity of the system. The behaviour of the model stresses the fact that for simulating the actual behaviour of cell populations, some parameters of the cell cycle have to be known with considerable accuracy, others are less critical. The model is compared with other mathematical models of cell populations recently proposed and ways to improve it are discussed. |
