AI 中文总结
研究非平衡系统对外部刺激的响应行为，通过识别最优敏感模型，推测响应可写成其凸组合，从几何视角对非单调生化函数设敏感性限制，确定分子无序结合的最优动力学方案。
AI 中文摘要
非平衡系统可利用能量增强对外部刺激的敏感性，在工程设备和生物体中发挥多种功能。一系列理论结果描述了非平衡放大的不同方面。本文从更广泛视角出发，旨在系统表征所有可能的响应行为。对于一类广泛的非平衡动力学，识别出由状态空间拓扑决定的最优敏感模型集，并推测每个响应可写成这些最优模型的凸组合。利用此几何视角对非单调生化输入-输出函数设置敏感性限制，并确定分子在三个位点间无序结合的所有最优动力学方案。
英文摘要
Nonequilibrium systems can exploit energy to amplify their sensitivity to external stimuli, allowing them to be harnessed for a variety of functions in both engineered devices and living organisms. An assortment of theoretical results capture different facets of this nonequilibrium amplification, including fluctuation-response relations as well as bounds and constraints that limit the potential behavior. Here, we take a broader perspective, aiming for a systematic characterization of the full range of possible response behaviors. For a wide class of nonequilibrium dynamics, we identify a collection of optimally sensitive models whose behavior is determined by the topology of the state space. We further conjecture that every response can be written as a convex combination of these optimal models, thereby structuring the entire space of responses. We use this geometric perspective to put sensitivity limits on nonmonotonic biochemical input-output functions, and identify all optimal kinetic schemes for the unordered binding of molecules among three sites.
