FitzHugh-Nagumo振荡器网络中的枢纽、多样性和同步：共振效应和生物物理意义
Hubs, diversity, and synchronization in FitzHugh-Nagumo oscillator networks: Resonance effects and biophysical implications
摘要：
使用FitzHugh-Nagumo方程来表示β-细胞的振荡电行为，我们开发了一个具有立方晶格拓扑结构的耦合振荡器网络模型，表明系统中起搏器或集线器的出现可以被视为振荡器种群多样性的自然结果。最佳的轮毂与非轮毂的比例是由一组给定的FitzHugh-Nagumo方程参数的多样性引起的共振最大值的位置确定的，并由模型预测在与实验观察完全一致的范围内。该模型还表明，β细胞网络中的枢纽应该能够“打开”和“关闭”其起搏功能。因此，它们在群体中的相对量可以变化，以确保网络响应于环境变化（例如外部刺激的变化）的最佳振荡性能。
英文摘要：
Using the FitzHugh-Nagumo equations to represent the oscillatory electrical behavior of beta-cells, we develop a coupled oscillator network model with cubic lattice topology, showing that the emergence of pacemakers or hubs in the system can be viewed as a natural consequence of oscillator population diversity. The optimal hub to non hub ratio is determined by the position of the diversity-induced resonance maximum for a given set of FitzHugh-Nagumo equation parameters and is predicted by the model to be in a range that is fully consistent with experimental observations. The model also suggests that hubs in a beta-cell network should have the ability to "switch on" and "off" their pacemaker function. As a consequence, their relative amount in the population can vary in order to ensure an optimal oscillatory performance of the network in response to environmental changes, such as variations of an external stimulus.
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