论文标题
在空间扩展的混合雷利 - 瓦尼德旋转振荡器的空间扩展系统中的同步前线
Synchronization Fronts in a Spatially Extended System of Hybrid Rayleigh-van der Pol Oscillators
论文作者
论文摘要
许多生物系统通过人口密度依赖性机制（称为Quorum Sensing）表现出向同步振荡的过渡。在这里，我们提出了一个基于空间分布的极限循环振荡器的模型系统，该模型系统使我们能够通过采取连续限制来捕获同步前部的动力学，因为耦合振荡器的数量趋于无穷大。我们从分析上探索了系统参数的波前型解决方案家族，并通过数值有限差异方法算法证实了其有效性。最后，我们根据基于遗传时钟的同步群体中的一些实验系统来审查我们的结果，这些遗传时钟是通过在拟议的拟议的Hybrid Rayleigh-van der Pol Pol模型中通过扩散的自动诱导者信号分子类似物耦合到我们的Hooke样耦合方案的。
Numerous biological systems exhibit transitions to synchronised oscillations via a population-density-dependant mechanism known as quorum sensing. Here we propose a model system, based on spatially distributed limit-cycle oscillators, that allows us to capture the dynamics of synchronization fronts by taking the continuum limit as the number of coupled oscillators tends to infinity. We explore analytically a family of wavefront-type solutions to the system in terms of model parameters and corroborate its validity via a numerical finite-difference method algorithm. Finally, we review our results in light of some experimental systems in synthetic biology based on a synchronised quorum of genetic clocks, coupled via a diffusive auto-inducer signalling molecule analogue to our Hooke-like coupling scheme within the proposed hybrid Rayleigh-van der Pol model.
