群体感知网络的整体收敛
Global convergence of quorum-sensing networks
摘要:
在许多自然的同步现象中,单个元素之间的通信不是直接发生的,而是通过环境发生的。其中一个例子是细菌群体感应,其中细菌在环境中释放信号分子,这些信号分子反过来被感知并用于种群协调。将这种动机扩展到一般的非线性动力系统背景下,本文分析了网络中的同步现象,其中节点之间的通信和耦合是由共享的动态量介导的,通常由节点的环境提供。我们的模型包括的情况下,共享变量本身的动态不能被忽视,或确实发挥了核心作用。系统生物学的应用举例说明了这种方法。
英文摘要:
In many natural synchronization phenomena, communication between individual elements occurs not directly, but rather through the environment. One of these instances is bacterial quorum sensing, where bacteria release signaling molecules in the environment which in turn are sensed and used for population coordination. Extending this motivation to a general non- linear dynamical system context, this paper analyzes synchronization phenomena in networks where communication and coupling between nodes are mediated by shared dynamical quan- tities, typically provided by the nodes' environment. Our model includes the case when the dynamics of the shared variables themselves cannot be neglected or indeed play a central part. Applications to examples from systems biology illustrate the approach.
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