Evidence for deterministic chaos in aperiodic oscillations of proliferative activity in long-term cultured Fao hepatoma cells.

The proliferative activity of long-term cultured mammalian cells exhibits traits of a complex dynamic system, with a succession of spontaneous rises and falls in proliferation rate. We analyzed three successive series of proliferation data for the Fao hepatoma cell line in long-term cultures. In the three series the proliferation rate displayed apparently disordered oscillations, which each lasted about 3-5 passages, with variable amplitude and were therefore unpredictable. Such non-linear kinetics raises the major issue of whether these fluctuations are random, or determined and coordinated. We used a graphical method of analysis of the data, which demonstrated that all troughs of proliferation were mathematically related to a common value in each series. This common value was itself related to the maximum level of proliferation of the cell line. Non-linear analysis thus confirmed that the fluctuations in proliferation rate of tumoral Fao cells are, at least in part, determined. This pattern evokes chaotic dynamics and is evidence for the flexible coordination of the complex system linking positive and negative growth regulators in long-term cultured cells.