Endogenous rhythms and chaos in crassulacean acid metabolism View Full Text


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Article Info

DATE

1992-03

AUTHORS

Ulrich Lüttge, Friedrich Beck

ABSTRACT

Endogenous free-running regular circadian oscillations of net CO2 exchange in the crassulacean-acidmetabolism (CAM) plantKalanchoë daigremontiana Hamet et Perrier de la Bâthie under constant external conditions in continuous light have been shown to change to irregular non-predictable (chaotic) time behaviour as irradiance or temperature are raised above a critical level. A model of CAM has been constructed with pools of major metabolites of varying concentrations, flows of metabolites leading to exchange between pools, metabolite transformations determined by chemical reactions, and feedback regulations. The model is described by a system of coupled non-linear differential equations. It shows stable rhythmicity in normal dark-light cycles and in continuous light and, like theK. daigremontiana leaves in the experiments, a change to chaos as irradiance is increased. The maintenance of endogenous oscillations in the model is brought about by a hysteresis switch or beat oscillator between two stable oscillation modes. In CAM these stable modes are vacuolar malate accumulation and remobilization. The model shows that the physical nature of the beat oscillator in the leaves can be explained by the balance between active and passive transport at the tonoplast. More... »

PAGES

28-38

References to SciGraph publications

  • 1987-03. Persistent circadian rhythms in the phosphorylation state of phosphoenolpyruvate carboxylase from Bryophyllum fedtschenkoi leaves and in its sensitivity to inhibition by malate in PLANTA
  • 1984-06. Mechanism of passive malic-acid efflux from vacuoles of the CAM plantKalanchoë daigremontiana in THE JOURNAL OF MEMBRANE BIOLOGY
  • 1984-06. A rapid circadian rhythm of carbon-dioxide metabolism in Bryophyllum fedtschenkoi in PLANTA
  • 1984-09. A dynamic computer model of the metabolic and regulatory processes in Crassulacean acid metabolism in PLANTA
  • 1989-04. Period and phase control by temperature in the circadian rhythm of carbon dioxide fixation in illuminated leaves of Bryophyllum fedtschenkoi in PLANTA
  • 1989-12. Phase resetting of the circadian rhythm of carbon dioxide assimilation inBryophyllum leaves in relation to their malate content following brief exposure to high and low temperatures, darkness and 5% carbon dioxide in PLANTA
  • 1988-12. Temperature effects on malic-acid efflux from the vacuoles and on the carboxylation pathways in crassulacean-acid-metabolism plants in PLANTA
  • 1984-03. Circadian rhythms in Kalanchoë: effects of irradiance and temperature on gas exchange and carbon metabolism in PLANTA
  • 1989-03. Control of the circadian rhythm of carbon dioxide assimilation in Bryophyllum leaves by exposure to darkness and high carbon dioxide concentrations in PLANTA
  • 1976-06. Simple mathematical models with very complicated dynamics in NATURE
  • 1988. Cellular and Molecular Bases of Biological Clocks, Models and Mechanisms for Circadian Timekeeping in NONE
  • 1984-01. Circadian rhythms inKalanchoë: the pathway of14CO2 fixation during prolonged light in PLANTA
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    http://scigraph.springernature.com/pub.10.1007/bf01160709

    DOI

    http://dx.doi.org/10.1007/bf01160709

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