Skip to main content
SpringerLink
Log in

Structured segregated models and analysis of self-oscillating yeast continuous cultures

  • Originals
  • Published:
Bioprocess Engineering Aims and scope Submit manuscript

Abstract

A structured segregated model of budding yeast (Saccharomyces cerevisiae) populations is analysed in order to verify its ability to predict the spontaneous oscillations arising in continuous cultures. To obtain tractable and useful information about the relationships among the metabolic modifications during the cell cycle, the control over division and the occurrence of oscillations, very simple assumptions are considered and added to the model. The cell metabolism has been taken into account by assuming a diversification in the yield coefficient during the cell cycle. Moreover, in the oscillatory range, the cell mass is assumed to be constant at budding and to depend on the limiting substrate concentration at division. For a suitable range of parameter values, sustained oscillations are obtained, which can be compared to the experimental ones.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

D :

dilution rate

K h :

critical substrate for h

K s :

saturation constant

h :

ratio between size at division and size at budding

h max :

maximum h value

h min :

minimum h value

s :

substrate concentration

s in :

substrate concentration in the input flow

x :

budded biomass concentration

y :

unbudded biomass concentration

Y x :

yield coefficient for budded biomass

Y y :

yield coefficient for unbudded biomass

μ :

specific growth rate

μ max :

maximum specific growth rate

References

  1. Agrawal, P.; Lee, C.; Lim, H. C.; Ramkrishna, D.: Theoretical investigations of dynamic behavior of isothermal continuous stirred tank biological reactors. Chem. Eng. Sci. 37 (1982) 453–462

    Google Scholar 

  2. Borzani, W.; Gregori, R. E.; Vairo, M. L. R.: Some observations on oscillatory changes in the growth rate of Saccharomyces cerevisiae in aerobic continuous undisturbed culture. Biotechnol. Bioeng. 19 (1977) 1363–1374

    Google Scholar 

  3. Carter, B. L. A.; Jagadish, M. N.: The relationship between cell size and cell division in the yeast Saccharomyces cerevisiae. Exp. Cell Research 112 (1978) 14–24

    Google Scholar 

  4. Cazzador, L.; Mariani, L.: A simulation program based on a structured population model for biotechnological yeast processes. Appl. Microbiol. Biotechnol. 29 (1988) 198–202

    Google Scholar 

  5. Crooke, P. S.; Wei, C. W.; Tanner, R. D.: The effect of the specific growth rate and yield expressions on the existence of oscillatory behavior of a continuous fermentation model. Chem. Eng. Commun. 6 (1980) 333–347

    Google Scholar 

  6. Hartwell, L. H.; Unger, M. W.: Unequal division in Saccharomyces cerevisiae and its implications for the control of cell division. J. Cell Biol. 75 (1977) 422–435

    Google Scholar 

  7. Heinzle, E.; Dunn, I. J.; Furukawa, K.; Tanner, R. D.: Modelling of sustained oscillations observed in continuous culture of Saccharomyces cervisiae. In: 1st Workshop on Modelling and Control of Biotechnical Processes, IFAC Helsinki (1982) 57–65

    Google Scholar 

  8. Johnston, G. C.; Ehrhardt, C. W.; Lorincz, A.; Carter, B. L. A.: Regulation of cell size in the yeast Saccharomyces cerevisiae. J. Bacteriol. 137(1979) 1–5

    Google Scholar 

  9. Kuenzi, M. T.; Fiechter, A.: Changes in carbohydrate composition and trehalase-activity during the budding cycle of Saccharomyces cerevisiae. Arch. Mikrobiol. 64 (1969) 396–407

    Google Scholar 

  10. MacDonald, N.: Time lags in biological models. Berlin Heidelberg New York: Springer Verlag 1978

    Google Scholar 

  11. Mariani, L.; Martegani, E.; Alberghina, L.: Yeast population models for monitoring and control of biotechnical processes. IEE Proc. 133 PtD (1986) 210–216

  12. Martegani, E.; Mariani, L.; Alberghina, L.: Yeast biotechnological processes monitored by analysis of segregated data with structured models. In: Johnson, A. (Ed.): Modeling and Control of Biotechnical Processes, 237–243. Pergamon Press 1985

  13. Martegani, E.; Porro, D.; Ranzi, B. M.; Alberghina, L.: Involvement of the cell size control mechanism in the induction and maintenance of oscillations in continuous cultures of budding yeast. In press

  14. Parulekar, S. J; Semoens, G. B.; Rolf, M. J; Lievense, J. C.; Lim, H. C.: Induction and elimination of oscillations in continuous cultures of Saccharomyces cerevisiae. Biotechnol. Bioeng. 28 (1986) 700–710

    Google Scholar 

  15. Porro, D.; Martegani, E.; Ranzi, B. M.; Alberghina, L.: Oscillations in continuous cultures of budding yeast: a segregated parameter analysis. Biotechnol. Bioeng. 32 (1988) 411–417

    Google Scholar 

  16. Strassle, C.; Sonnleitner, B.; Fiechter, A.: A predictive model for the spontaneous synchronization of Saccharomyces cerevisiae grown in continuous culture. I. Concept. J. Biotechnol. 7 (1988) 299–318

    Google Scholar 

  17. Thingstad, T. F.; Langeland, T. I.: Dynamics of chemostat culture: the effect of a delay in cell response. J. Theor. Biol. 48 (1974) 149–159

    Google Scholar 

  18. Tyson, C. B.; Lord, P. G.; Wheals, A. E.: Dependency of size of Saccharomyces cerevisiae cells on growth rate. J. Bacteriol. 138 (1979) 92–98

    Google Scholar 

  19. Von Meyenburg, H. K.: Energetics of the budding cycle of Saccharomyces cerevisiae during glucose limited aerobic growth. Arch. Mikrobiol. 66 (1969) 289–303

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. LADSEB-CNR, Corso Stati Uniti 4, 350320, Padova

    L. Cazzador & L. Mariani

  2. Dipartimento di Fisiologia e Biochimica Generali, Università di Milano, Italy

    E. Martegani & L. Alberghina

Authors
  1. L. Cazzador
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Mariani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Martegani
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. Alberghina
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cazzador, L., Mariani, L., Martegani, E. et al. Structured segregated models and analysis of self-oscillating yeast continuous cultures. Bioprocess Engineering 5, 175–180 (1990). https://doi.org/10.1007/BF00369582

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00369582

Keywords

Search

Navigation