Title: Glycolytic Wave Patterns in a Simple Reaction-diffusion System with Inhomogeneous Influx: Dynamic Transitions Show Chinese title

Title: 非均匀流入的简单反应扩散系统中的糖酵解波模式：动态转变

Abstract: An inhomogeneous profile of chemostatted species generates a rich variety of patterns in glycolytic waves depicted in a Selkov reaction-diffusion framework here. A key role played by diffusion amplitude and symmetry in the chemostatted species profile in dictating the fate of local spatial dynamics involving periodic, quasiperiodic, and chaotic patterns and transitions among them are investigated systematically. More importantly, various dynamic transitions, including wave propagation direction changes, are illustrated in interesting situations. Besides numerical results, our analytical formulation of the amplitude equation connecting complex Ginzburg-Landau and Lambda-omega representation shed light on the phase dynamics of the system. This systematic study of the glycolytic reaction-diffusion wave is in line with previous experimental results in the open spatial reactors and will provide knowledge about the dynamics that shape and control biological information processing and related phenomena. Show Chinese abstract

Abstract: 非均匀的恒化器物种分布在此选择模型反应扩散框架中产生了丰富的糖酵解波图案。 研究了扩散幅度和对恒化器物种分布对称性在决定涉及周期性、拟周期性和混沌模式及其之间转变的局部空间动力学命运中的关键作用。 更重要的是，在有趣的情况下展示了各种动态转变，包括波传播方向的变化。 除了数值结果外，我们所提出的与复Ginzburg-Landau和Lambda-omega表示相联系的振幅方程的分析公式揭示了系统相动力学的信息。 这项对糖酵解反应扩散波的系统研究与开放空间反应器中的先前实验结果一致，并将提供关于塑造和控制生物信息处理及相关现象的动力学知识。