Oscillatory model of crassulacean acid metabolism: structural analysis and stability boundaries with a discrete hysteresis switch |
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| Authors: | B. Blasius,F. Beck,& U. Lü ttge |
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| Affiliation: | Institute of Nuclear Physics, Department of Physics, Darmstadt University of Technology, Schloßgartenstraße 9, D-64289 Darnstadt, Germany and,;Institute of Botany, Department of Biology, Darmstadt University of Technology, Schnittspahnstraße 3, D-64287 Darmstadt, Germany |
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| Abstract: | We propose a simple oscillatory model of crassulacean acid metabolism (CAM) describing the CO2 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 CO2 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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| Keywords: | computer modelling crassulacean acid metabolism endogenous oscillations hysteresis switch pseudo steady state stability boundaries. |
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