Feedback Control of Biological Rhythm in Crassulacean Acid Metabolism by CO2-Uptake Signal*

The mechanism of endogenous circadian photosynthesis oscillations of plants performing crassulacean acid metabolism (CAM) is investigated in terms of a nonlinear theoretical model. Blasius et al. used throughout continuous time differential equations which adequately reflect the CAM dynamics. The model shows regular endogenous limit cycle oscillations that are stable for a wide range of temperatures in a manner that complies well with experimental data. We have recently presented four types of the feedback controllers for the phase shift of the CAM model of the single cell using the light intensity as an input. In this paper, we deal with the synchronization issues in the coupled cells with light intensity input. We show that the strong coupling causes the unsynchronization of the cells.