题目：Detecting Critical Transitions: Early-Warning Indicators in Stochastic Biological Systems
专家：段金桥教授（大湾区大学）
时间：2025年11月24日 10:30-11:30
地点：复杂系统研究所4层报告厅（商学楼409室）

专家介绍：段金桥，大湾区大学讲席教授。从事应用数学；随机偏微分方程理论与应用；数据驱动的数学建模-分析-学习-预估；随机现象与复杂现象的刻画与诠释；以及数学与其它学科的交叉研究等。现任国际著名学术期刊随机动力系统 Stochastics and Dynamics 管理编辑、跨学科数理科学丛书 Interdisciplinary Mathematical Sciences 主编，以及地球物理学中的非线性过程 Nonlinear Processes in Geophysics 编委；曾任美国华人教授科学家学社社长。获得欧洲地球物理学会青年科学家论文奖。曾被聘为美国密苏里科技大学 Missouri University of Science and Technology 冠名 Gary Havener 系主任。

报告摘要：The interplay of uncertainty and nonlinearity in biological dynamical systems gives rise to complex phenomena, including critical transitions between qualitatively distinct dynamical regimes. Such transitions, also known as tipping phenomena, are prevalent in neural and other biological systems.

In this talk, we review recent advances in detecting critical transitions between metastable states by analyzing system trajectories, probability distributions, and Onsager-Machlup actions. Building on these approaches, we introduce a suite of topological, probabilistic, and analytical indicators for identifying impending transitions. Finally, we demonstrate the effectiveness of these indicators through examples drawn from neural dynamics and other biophysical systems. This is joint work with Ting GAO (Huazhong University of Science and Technology, Wuhan, China), Lingyu FENG (Nanjing University of Information Science & Technology, Nanjing, China), and Xiaopeng CHEN (Shantou University, Shantou, China).

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