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This study predicts that quasi-periodic oscilla- tions could exist in a detailed model of glycolysis that is ana- lyzed in an autonomous system. In addition to period-dou- bling, quasi-periodic and period-adding bifurcation, a new stationary branch, which lies in between the thermodynamic and flow branches, is also uncovered in the glycolytic reac- tion system. Results presented in this study illustrate that the Michaelis constant (K4GAP) of glyceraldehyde 3-phosphate dehydrogenase for glyceraldehyde 3-phosphate has great influences on glycolytic oscillations, in which increasing K4GAP widens the range of flow rate over which quasi-peri- odic oscillations exist.
This study predicts that quasi-periodic oscilla- tions could exist in a detailed model of glycolysis that is ana- lyzed in an autonomous system. In addition to period-dou- bling, quasi-periodic and period-adding bifurcation, a new new stationary branch , which lies in between the thermodynamic and flow branches, is also uncovered in the glycolytic reac tion system. The results in this study illustrate that the Michaelis constant (K4GAP) of glyceraldehyde 3-phosphate dehydrogenase for glyceraldehyde 3-phosphate has great influences on glycolytic oscillations, in which increasing K4GAP widens the range of flow rate over which quasi-peri- odic oscillations exist.