Dynamics of Coupled Heterogeneous Oscillators with Application to Biological Systems

这项研究将研究从根本上不同的基本物理原理的振荡系统的相互作用所产生的行为。振荡器具有不同的自然速率和波形。这项工作问集体行为是如何敏感的振荡器和振荡器之间的通信的变化。耦合非线性振子的研究有助于深入理解生物系统。物理上不同的生物振荡器特别令人感兴趣。其他生物振荡器呈现复杂的波形，例如神经元的尖峰。尽管不同的相互作用的生物系统的流行，有几个相关的实验。大多数研究都是在一个系统类型中检查同质振荡器。学生将接受理解，建模，模拟和实验研究耦合物理不同系统的培训。这个项目将进行实验，耦合不同的物理振荡器系统。通过这些实验，减少变量模型的优点和缺点将被揭示出来，这在类似振荡器的系统中可能不明显。简化变量模型对于生物振荡器的分析是重要的，因此，对模型的理解是重要的。 要研究的系统具有不同的振荡动力学与类似的生物模式;像心脏，光机械振荡器可以表现出多个空间振荡模式，而肺和光电振荡器不能。与生物振荡器不同，这些不同的振荡器有精确的数学模型。因此，这项工作将为不同生物系统之间的相互作用创造一个灵活的实验代理，同时为同步，延迟耦合和具有不同物理特性的相互作用振荡器的研究提供理论进步的机会。

This study will examine the behavior that arises from the interactions of oscillating systems with fundamentally different underlying physical principles. The oscillators have different natural rates and wave shapes. The work asks how collective behavior is sensitive to changes in the oscillators and the communications between oscillators. The study of coupled nonlinear oscillators can lead to a deep understanding of biological systems. Physically dissimilar biological oscillators are of particular interest. Other biological oscillators exhibit complex waveforms, such as the spiking of neurons. Despite the prevalence of dissimilar interacting biological systems, there have been few related experiments. Most studies examine homogeneous oscillators within one system type. Students will be trained in understanding, modeling, simulating, and experimentally investigating coupled physically dissimilar systems. This project will perform experiments that couple dissimilar physical oscillator systems. Through these experiments, strengths and weaknesses of reduced-variable models will be revealed that may not be apparent in systems of similar oscillators. Reduced-variable models are important to the analysis of biological oscillators, thus, insights into the models are important. The systems to be studied have different oscillatory dynamics with analogous biological modes; like the heart, an opto-mechanical oscillator can exhibit multiple spatial modes of oscillation while the lungs and an opto-electronic oscillator cannot. Unlike biological oscillators, there are accurate mathematical models for these dissimilar oscillators. Thus, this work will create a flexible experimental proxy for interactions between dissimilar biological systems, while providing an opportunity for theoretical advancements in the study of synchronization, delayed coupling, and interacting oscillators with different physical properties.