Abstract
Biological reactions which interact with their environment are subject to the influx of noise. Noise introduces randomness and imparts fractal character to the deterministic behavior. A methodology is proposed to compute the fractal dimensions of such reactions. It is applied to the continuous culture of Zymomonas mobilis to produce ethanol. Results show that noise can change the nature of oscillations or induce oscillations in a stationary state. The noise-induced oscillations are aperiodic and fractal in nature. The variation of the fractal dimension with dilution rate and the initial ethanol concentration is presented and discussed in terms of the interaction between process kinetics and the incoming noise.
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