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https://doi.org/10.1016/0014-4827(84)90402-6

has been cited by the following article:

• TITLE: Continuous Ethanol Fermentation at Very High Gravity in the Presence of Saccharomyces cerevisiae: A Bifurcation Analysis

  AUTHORS: Ghanem-Lakhal Abdelghani

  KEYWORDS: Bifurcation, Ethanol, Fermentation, Saccharomyces cerevisiae, Very High Gravity

  JOURNAL NAME: Journal of Sustainable Bioenergy Systems, Vol.8 No.4, December 21, 2018

  ABSTRACT: In this paper, a study of the bifurcation analysis of fermentation of sugar to ethanol in presence of Saccharomyces cerivisiae at very high gravity is described. The bifurcation analysis was done for a concentration 280 gl−1 of sugar, and the dilution rate was taken as the parameter of bifurcation. Two Hopf bifurcations (HB) at 280 gl−1 were found. At dilution rate of 0.027 h−1 the system exhibits damped oscillations and not sustained oscillations as previously reported because the system is close to a point of attraction, and we can attenuate these oscillations by the choice of initial conditions. The system exhibits sustained oscillations between the two Hopf Bifurcations, the first at 0.08028 h−1 and the second at 0.04395 h−1. These oscillations are the consequence of synchrony between the daughter and the mother yeast. Indeed, it is better to take a dilution rate between the two Hopf bifurcations (self sustained oscillations), in order to increase the ethanol productivity.