Analysis of synchronous growth of baker's yeast. Part I: Development of a theoretical model for sustained oscillations

Bellgardt, K.‐H.

doi:10.1016/0168-1656(94)90187-2

Cited by 27 publications

(25 citation statements)

References 19 publications

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“…As the duration of the budding period (S-to-M phases) is rather independent of the nutrition the variation of the generation time in continuous culture is due to length of the G1 phase (Thompson and Wheals, 1980). Previously Beuse et al (1998) have investigated the effect of the dilution rate on the mode of oscillation and have validated the theoretical predictions of Bellgardt (1994a) Möller and Jörgensen (1997) observed changes of the oscillation period length when they varied temperature, pH value and DO. As the period length is strictly coupled to the doubling time (Fig.…”

Section: Introductionmentioning

confidence: 91%

“…The population balance for mode 12 requires two distinct subpopulations of daughter cells with identical generation times, both subpopulations having a generation time of two period lengths and the cell cycles being delayed by one period. Owing to the two daughter subpopulations the maximal possible budding index for mode 12 is reduced to BI ‫ס‬ 0.618 (Bellgardt 1994a), while only for mode 11 the maximal budding index of BI ‫ס‬ 1 is possible.…”

Section: Introductionmentioning

confidence: 99%

“…Without variations of the process parameters the autonomous oscillations are stable for many days. Bellgardt (1994a) presented a population balance model for the stationary state, which describes the relation between generation times (time interval for doubling of cell number) of daughter cells T D and parent cells T P and the period length T IJ of the oscillation (time interval between two maxima of DO etc.). It is crucial for the understanding of the model and its implications that each cell class has its individual generation time while their statistical sum-the mean doubling time-is determined by the dilution rate.…”

Section: Introductionmentioning

confidence: 99%

“…With a given period length T IJ and dilution rate D, the mode numbers can be determined graphically using the mode lines in Fig. 1 (Bellgardt 1994a;Beuse et al, 1998). The graphical solution is based on the population balance at the beginning of the cell cycle.…”

Section: Introductionmentioning

confidence: 99%

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Oxygen, pH value, and carbon source induced changes of the mode of oscillation in synchronous continuous culture ofSaccharomyces cerevisiae

Beuse

Kopmann

Diekmann

et al. 1999

Biotechnol. Bioeng.

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Section: Introductionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Oxygen, pH value, and carbon source induced changes of the mode of oscillation in synchronous continuous culture ofSaccharomyces cerevisiae

Beuse

Kopmann

Diekmann

et al. 1999

Biotechnol. Bioeng.

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“…Forty years of data and experience show that in fact, autonomous oscillations are highly controllable [20][21][22][23][24][25][26][27][28]. In fact, we show that they can be used to great advantage.…”

Section: Introductionmentioning

confidence: 95%

Periodic Fermentor Yield and Enhanced Product Enrichment from Autonomous Oscillations

Stowers

Robertson

Ban

et al. 2009

Appl Biochem Biotechnol

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Four decades of work have clearly established the existence of autonomous oscillations in budding yeast culture across a range of operational parameters and in a few strains. Autonomous oscillations impact substrate conversion to biomass and products. Relatively little work has been done to quantify yield in this case. We have analyzed the yield of autonomously oscillating systems, grown under different conditions, and demonstrate that it too oscillates. Using experimental data and mathematical models of yeast growth and division, we demonstrate strategies to increase the efficient recovery of products. The analysis makes advantage of the population structure and synchrony of the system and our ability to target production within the cell cycle. While oscillatory phenomena in culture have generally been regarded with trepidation in the engineering art of bioprocess control, our results provide further evidence that autonomously oscillating systems can be a powerful tool, rather than an obstruction.

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Kinetic, dynamic, and pathway studies of glycerol metabolism by Klebsiella pneumoniae in anaerobic continuous culture: I. The phenomena and characterization of oscillation and hysteresis

Menzel¹,

Zeng²,

Biebl³

et al. 2000

Biotechnol. Bioeng.

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Oscillation and hysteresis phenomena are observed in the anaerobic continuous fermentation of glycerol by Klebsiella pneumoniae in long‐term cultivations under a variety of conditions. In this work, the conditions for the occurrence of these phenomena are reported and the patterns of cell growth and metabolism under oscillation are characterized. During an oscillation period, the formation rates of CO2, H2, and formate and the consumption rate of alkali periodically pass values of maxima and minima, the latter being close to zero. The formation of biomass and fermentation products such as 1,3‐propanediol, acetate, and ethanol also undergo periodic changes which shift maxima and minima. Sustained oscillation occurs only under conditions of substrate excess within a distinct regime. At pH 7.0, it is only found at dilution rates above 0.15 h−1 under the experimental conditions. At lower pH values, oscillations are more likely to happen, even at a relatively low dilution rate and low substrate excess. Whereas the amplitude of oscillations at pH 7.0 depends on both the dilution rate and the residual glycerol concentration (CGlyc) the interval of oscillations appears to be only a function of CGlyc. An increase of CGlyc in culture damps the oscillation and leads to its disappearance at CGlyc = 1100 to 1200 mmol/L (pH 7.0). The operation mode was also found to be an important parameter in determining the stability and actual state of the culture, resulting in hysteresis under certain conditions, particularly at low pH values. Generally, a large perturbation of cultivation conditions tends to cause oscillation and hysteresis. The results unambiguously demonstrate that the oscillation and hysteresis phenomena shown in this work are bound to genuine metabolic fluctuations of the microorganism. They reveal several differences and new features compared with those reported in the literature and cannot be readily explained by the mechanisms known so far. © 1996 John Wiley & Sons, Inc.

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Analysis of synchronous growth of baker's yeast. Part I: Development of a theoretical model for sustained oscillations

Cited by 27 publications

References 19 publications

Oxygen, pH value, and carbon source induced changes of the mode of oscillation in synchronous continuous culture ofSaccharomyces cerevisiae

Oxygen, pH value, and carbon source induced changes of the mode of oscillation in synchronous continuous culture ofSaccharomyces cerevisiae

Periodic Fermentor Yield and Enhanced Product Enrichment from Autonomous Oscillations

Kinetic, dynamic, and pathway studies of glycerol metabolism by Klebsiella pneumoniae in anaerobic continuous culture: I. The phenomena and characterization of oscillation and hysteresis

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