Faculty of Design, Kyushu University, Fukuoka 815-8540, Japan;
Education and Research Center for Mathematical and Data Science, Kyushu University, Fukuoka 819-0395, Japan.
Proc Natl Acad Sci U S A. 2022 Feb 8;119(6). doi: 10.1073/pnas.2113620119.
Measurements of interaction intensity are generally achieved by observing responses to perturbations. In biological and chemical systems, external stimuli tend to deteriorate their inherent nature, and thus, it is necessary to develop noninvasive inference methods. In this paper, we propose theoretical methods to infer coupling strength and noise intensity simultaneously in two well-synchronized noisy oscillators through observations of spontaneously fluctuating events such as neural spikes. A phase oscillator model is applied to derive formulae relating each of the parameters to spike time statistics. Using these formulae, each parameter is inferred from a specific set of statistics. We verify these methods using the FitzHugh-Nagumo model as well as the phase model. Our methods do not require external perturbations and thus can be applied to various experimental systems.
测量相互作用强度通常通过观察对扰动的响应来实现。在生物和化学系统中，外部刺激往往会破坏其固有性质，因此有必要开发非侵入性的推断方法。在本文中，我们通过观察自发波动事件（如神经尖峰），提出了一种理论方法，可以从两个良好同步的噪声振荡器中同时推断耦合强度和噪声强度。应用相振荡器模型推导出与尖峰时间统计量相关的公式，每个参数与特定的统计量相关联。我们使用 FitzHugh-Nagumo 模型和相模型验证了这些方法。我们的方法不需要外部扰动，因此可以应用于各种实验系统。
