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Oscillatory model of crassulacean acid metabolism: structural analysis and stability boundaries with a discrete hysteresis switch
Author(s) -
Blasius B.,
Beck F.,
Lüttge U.
Publication year - 1998
Publication title -
plant, cell and environment
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.646
H-Index - 200
eISSN - 1365-3040
pISSN - 0140-7791
DOI - 10.1046/j.1365-3040.1998.00312.x
Subject(s) - crassulacean acid metabolism , steady state (chemistry) , hysteresis , flux (metallurgy) , metabolite , thermodynamics , biological system , stability (learning theory) , photosynthesis , chemistry , biology , physics , biochemistry , computer science , organic chemistry , quantum mechanics , machine learning
We propose a simple oscillatory model of crassulacean acid metabolism (CAM) describing the CO 2 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 2 concentration. Under stationary conditions in time the model shows either endogenous rhythmicity or two distinct steady states. Stability boundaries are calculated in parameter space.