From the initial discovery of free-running endogenous circadian oscillation
s of Crassulacean acid metabolism (CAM) under constant conditions in the li
ght and in air, it has been disputed whether the underlying oscillator is e
nzymic or biophysical. The hypothesis of a biophysical hysteresis switch or
beat oscillator started from osmotic considerations of malate accumulation
and remobilisation. indicating a tonoplast tension/relaxation mechanism. I
t then advanced to application of non-linear dynamics theory for the analys
is of rhythmic and arrhythmic time series of CO2 exchange under the regime
of external control parameters, mainly temperature, and the implementation
of models for computer simulations of CAM rhythms. This provided strong evi
dence for the tonoplast functioning as a master switch for circadian regula
tion of CAM. Conversely, the hypothesis of an enzymic beat oscillator stron
gly developed on the experimental basis of phosphorylation/dephosphorylatio
n of phosphoeno/pyruvate carboxylase (PEPC) regulating the enzyme activity,
and hence CO2 fixation and malate synthesis via this enzyme. It was much s
upported by the discovery that PEPC-kinase gene-transcription was under cir
cadian control. However, biochemical and molecular analysis, as well as mod
el simulation, strongly suggests that this is a secondary and not the prima
ry oscillator. The synchronisation/desynchronisation of leaf patches has re
vealed spatiotemporal characteristics of circadian rhythmicity that may ope
n new ways for understanding biological clocks.