标题： 通过化学网络中的测量来表征详细平衡性质 显示英文标题

标题： Characterizing the detailed balance property by means of measurements in chemical networks

摘要： 在本文中，我们研究如何确定一个线性生化网络是否满足详细平衡条件，而无需了解网络中所有反应的细节。 为此，我们使用响应函数$R_{ij} (t) $的形式主义，该函数通过测量在时间$t=0$时注入物质$j$后系统对物质$i \neq j$浓度的响应来衡量系统的反应，测量时间为$t >0$。 具体而言，我们得到一个涉及两个互惠测量（即$R_{ij}(t), \, R_{ji}(t)$）的条件，这是网络满足详细平衡条件的必要条件，但不是充分条件。 此外，我们证明如果满足一个拓扑条件以及一个保证化学速率不经过微调的稳定性特性，则此必要条件也是充分的。 显示英文摘要

摘要： In this paper we study how to determine if a linear biochemical network satisfies the detailed balance condition, without knowing the details of all the reactions taking place in the network. To this end, we use the formalism of response functions $R_{ij} (t) $ that measure how the system reacts to the injection of the substance $j$ at time $t=0$, by measuring the concentration of the substance $i \neq j$ for $t >0$. In particular, we obtain a condition involving two reciprocal measurements (i.e.~$R_{ij}(t), \, R_{ji}(t)$) that is necessary, but not sufficient for the detailed balance condition to hold in the network. Moreover, we prove that this necessary condition is also sufficient if a topological condition is satisfied, as well as a stability property that guarantees that the chemical rates are not fine-tuned.