Laboratory of Dynamics in Biological Systems, Department of Cellular and Molecular Medicine, University of Leuven, 3000 Leuven, Belgium.
Chaos. 2020 May;30(5):053139. doi: 10.1063/5.0002251.
Spatially extended oscillatory systems can be entrained by pacemakers, regions that oscillate with a higher frequency than the rest of the medium. Entrainment happens through waves originating at a pacemaker. Typically, biological and chemical media can contain multiple pacemaker regions, which compete with each other. In this paper, we perform a detailed numerical analysis of how wave propagation and synchronization of the medium depend on the properties of these pacemakers. We discuss the influence of the size and intrinsic frequency of pacemakers on the synchronization properties. We also study a system in which the pacemakers are embedded in a medium without any local dynamics. In this case, synchronization occurs if the coupling determined by the distance and diffusion is strong enough. The transition to synchronization is reminiscent of systems of discrete coupled oscillators.
空间扩展的振荡系统可以通过起搏器来调节，起搏器区域的振荡频率高于介质的其余部分。通过起源于起搏器的波来实现调节。通常，生物和化学介质可以包含多个起搏器区域，这些区域相互竞争。在本文中，我们对波的传播和介质的同步如何取决于这些起搏器的特性进行了详细的数值分析。我们讨论了起搏器的大小和固有频率对同步特性的影响。我们还研究了起搏器嵌入在没有任何局部动力学的介质中的系统。在这种情况下，如果由距离和扩散决定的耦合足够强，则会发生同步。这种向同步的转变让人联想到离散耦合振荡器系统。
