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Oscillatory model of crassulacean acid metabolism: structural analysis and stability boundaries with a discrete hysteresis switch

Blasius, B. ; Beck, F. ; Lüttge, U.

Plant, Cell & Environment, August 1998, Vol.21(8), pp.775-784 [Periódico revisado por pares]

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  • Título:
    Oscillatory model of crassulacean acid metabolism: structural analysis and stability boundaries with a discrete hysteresis switch
  • Autor: Blasius, B. ; Beck, F. ; Lüttge, U.
  • Assuntos: Computer Modelling ; Crassulacean Acid Metabolism ; Endogenous Oscillations ; Hysteresis Switch ; Pseudo Steady State ; Stability Boundaries.
  • É parte de: Plant, Cell & Environment, August 1998, Vol.21(8), pp.775-784
  • Descrição: We propose a simple oscillatory model of crassulacean acid metabolism (CAM) describing the CO uptake and nocturnal acidification of CAM plants by a system of coupled non‐linear differential equations. Large differences in the content of metabolite pools are treated using a pseudo‐steady‐state approach. For the first time, simulations of the CAM cycle investigate its dependence on all three major control parameters simultaneously: temperature, photon flux density and external CO concentration. Under stationary conditions in time the model shows either endogenous rhythmicity or two distinct steady states. Stability boundaries are calculated in parameter space.

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