| The dynamical capability of glycolysis in Saccharomyces cerevisiae is studied via the method of structural kinetic modeling. This method is based on the kinetic structure and is associated with the specific concentrations and flux values in an experimentally observed operating point solely. In this work, we firstly take account of the structure of the glycolytic pathway in Saccharomyces cerevisiae, and then proceed with dynamical analysis. The result indicates that the PFK reaction plays a significant role in the glycolysis, and the saturation parameters with respect to the substrate F6P and the inhibitor ATP determine the regimes of complex dynamical behavior. In addition, the PK reaction can also give rise to oscillations occurring to a certain extent.The synchronization of glycolytic oscillations is investigated in terms of a synthetic gene-metabolic oscillator. Firstly, AcP, AcCoA, and HOAc are discussed as a synchronizing agent (SA) separately, and the result via numerical simulation shows that AcCoA cannot synchronize the oscillations, while AcP can influence synchronization strongly. For HOAc, by modifying the model, it is found that HOAc can synchronize oscillations of single cells. Then, the regimes of the synchronization and the nonsynchronization via HOAc regulating the system are depicted on the phase diagram of k and kAcE,f. In addition, the fact is acquired that ifthe initial concentration of some metabolite is the highest, the corresponding time course of the metabolite can lead that of others, and it is beneficial to predict the behavior of cells. Finally, the cell population including one hundred cells is simulated to illuminate the synchronization achieved by HOAc.Feedback mechanism in chemical reaction dynamics is revealed by constructing a new theoretic method based on control theory. Moreover, the reactive conditions of many elementary reactions are studied and optimized by time domain analysis, frequency domain analysis, and root locus analysis.
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