Zlotnik Anatoly, Nagao Raphael, Kiss István Z, Li Jr-Shin
Center for Nonlinear Studies, MS B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Department of Chemistry, Saint Louis University, 3501 Laclede Ave., St Louis, Missouri 63103, USA.
Nat Commun. 2016 Mar 18;7:10788. doi: 10.1038/ncomms10788.
The ability to organize and finely manipulate the hierarchy and timing of dynamic processes is important for understanding and influencing brain functions, sleep and metabolic cycles, and many other natural phenomena. However, establishing spatiotemporal structures in biological oscillator ensembles is a challenging task that requires controlling large collections of complex nonlinear dynamical units. In this report, we present a method to design entrainment signals that create stable phase patterns in ensembles of heterogeneous nonlinear oscillators without using state feedback information. We demonstrate the approach using experiments with electrochemical reactions on multielectrode arrays, in which we selectively assign ensemble subgroups into spatiotemporal patterns with multiple phase clusters. The experimentally confirmed mechanism elucidates the connection between the phases and natural frequencies of a collection of dynamical elements, the spatial and temporal information that is encoded within this ensemble, and how external signals can be used to retrieve this information.
组织并精细操控动态过程的层次结构和时间安排的能力，对于理解和影响脑功能、睡眠及代谢周期以及许多其他自然现象而言至关重要。然而，在生物振荡器集合中建立时空结构是一项具有挑战性的任务，需要控制大量复杂的非线性动力学单元。在本报告中，我们提出了一种设计同步信号的方法，该方法可在不使用状态反馈信息的情况下，在异构非线性振荡器集合中创建稳定的相位模式。我们通过在多电极阵列上进行电化学反应的实验来演示该方法，在实验中我们将集合子群选择性地分配到具有多个相位簇的时空模式中。实验证实的机制阐明了一组动态元素的相位与固有频率之间的联系、该集合中编码的空间和时间信息，以及外部信号如何用于获取此信息。
