The spatiotemporal dynamics of the hydrogen peroxide-thiosulfate-sulfite-perchlorate acid system was in-vestigated in reaction-diffusion medium. In the Petri dish, pulse waves were discovered, which had the maximum life-time and the maximum traveling distance when the initial concentration of thiosulfate was increased. In addition, pulse waves contracted back before disappearing, and the pulse waves with red spot were observed when the initial concen- tration of hydrogen peroxide was higher. The experimental results were analyzed and explained according to the reac- tion mechanism of positive and negative feedback in this system.
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.
