“…Without noise, they found that oscillations may be periodic, aperiodic or chaotic, depending on the dilution rate and the gas-to-liquid mass transfer coefficient for oxygen. Observations from different production-scale bioreactors indicate [10,22] that the feed streams are major sources of noise; the fluctuations observed may be modeled by Gaussian distributions with mean values equal to the instantaneous deterministic concentrations and different variances [2,3,12]. For S. cerevisiae fermentations, a variance of even 5% suffices to induce stochastic chaos in deterministic oscillations [12,13].…”