Ecodynamics pp 202-210 | Cite as

Deterministic Modelling of the Combined Action of Light and Heat Stress on Microbial Growth

  • E. Fiolitakis
  • J. U. Grobbelaar
  • C. J. Soeder
  • E. Hegewald
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)

Abstract

Transient behavior, which is typical of living systems, requires that short term processes be formulated as dynamic reactions and that these take long term adaptations into account. It has been possible to include these requirements in a mathematical model, where the growth of the green alga Scenedesmus obliquus was analysed in terms of a combined action of light and heat stress. Michaelis-Menten kinetics were solved and the activation energy, entropy and enthalpy were in agreement with the known properties of enzymatic reactions. An activity state variable V was derived, which enabled the modelling of adaptation kinetics due to available light.

Keywords

Biomass Entropy Enthalpy Phytoplankton Respiration 

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References

  1. Fiolitakis, E., Grobbelaar, J.U., Hegewald, E., and Soeder, C.J. (1987). Deterministic interpretation of the temperature response of microbial growth. Biotecnh. Bioengin., 30, 541–547.CrossRefGoogle Scholar
  2. Grobbelaar, J.U. (1981). Deterministic production model for describing algal growth in large outdoor mass algal cultures. In: Wastewater for aquaculture, Grobbelaar, J.U., Soeder, C.J. and Toerien, D.F. (eds.). University of the OFS Publ., Series C., 3, 173–181.Google Scholar
  3. Grobbelaar, J.U., Soeder, C.J. and Stengel, E. (1984). Modeling algal productivity and oxygen production in large outdoor cultures. Jül — Spez — 282, Jülich, FRG, 49 pp.Google Scholar
  4. Harris, G.P. (1978). Photosynthesis, productivity, and growth: The physiological ecology of phytoplankton. Arch. Hydrobiol. Beih., Ergebn. Limnol., 10, 1–171.Google Scholar
  5. Hill, D.T. and Lincoln, E.P. (1981). Development and validation of a comprehensive model of large-scale production of microalgae. Agricultural Wastes, 3, 43–64.CrossRefGoogle Scholar
  6. Krüger, G.H.J. and Eloff, J.N. (1978). The effect of temperature on the specific growth rate and activation energy of Microcystis and Synechococcus isolates relevant to the onset of natural blooms. J. Limnol. sth. Afr., 5, 9–20.Google Scholar
  7. Raison, J.K. (1980). Effect of low temperature on respiration. In: The biochemistry of plants, D.D. Davies (ed.). Academic Press, New York. 614–620.Google Scholar
  8. Shelef, G. (1968). Ph.D dissertation, University of California, Berkley, USA.Google Scholar
  9. Soeder, C.J., Hegewald, E., Fiolitakis, E., and J.U. Grobbelaar (1984). Temperature dependence of population growth in a green microalgae: Thermodynamic characteristics of growth intensity and influence of cell concentration. Z. Naturforsch., 40c, 227–233.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • E. Fiolitakis
    • 1
  • J. U. Grobbelaar
    • 1
    • 2
  • C. J. Soeder
    • 1
  • E. Hegewald
    • 1
  1. 1.Institut für Biotechnologie der KFAJülichFed.Rep.of Germany
  2. 2.Unit for LimnologySouth Africa

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