发表机构
Aix Marseille Université; CNRS; University of Rochester（艾克斯-马赛大学; 法国国家科学研究中心; 罗切斯特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对化学反应网络，发现其复合物活性存在互线性，特定零缺陷网络中控制单个反应可使稳态活性满足与多因素无关的线性关系，可用于预测活性并限定控制范围。
AI 中文摘要
关于远离平衡的系统如何响应速率常数变化的精确陈述，在线性响应之外十分匮乏，但这对生化网络的控制至关重要。一个显著的例外是互线性：在跳跃过程中，控制单个跃迁的速率可使任意两个稳态概率满足精确的仿射关系，即使系统远离平衡。对于非线性质量作用动力学，且用守恒定律替代归一化条件，化学反应网络似乎违背了互线性，因为物种浓度不满足此类关系。我们证明，互线性始终存在，只是存在于复合物的活性（质量作用单项式）而非物种浓度中。对于具有单个连接类的零缺陷网络，控制一个反应可使任意三个稳态活性满足线性关系，其系数与受控速率常数、守恒量（因此与初始状态）甚至复合物的化学计量无关。这可预测隐藏的活性并限定控制可达到的活性比率，而违反该关系则表明存在非零缺陷或多个连接类。
英文摘要
Exact statements about how a system far from equilibrium responds to changes in its rate constants are scarce beyond linear response, yet they are central to the control of biochemical networks. A notable exception is mutual linearity: in a jump process, controlling the rates of a single transition makes any two stationary probabilities obey an exact affine relation, arbitrarily far from equilibrium. With nonlinear mass-action kinetics, and conservation laws in place of a normalization, chemical reaction networks seem to defy mutual linearity since species concentrations obey no such relation. We show that it was there all along, in the complexes' activities (mass-action monomials) rather than in the concentrations of species. For zero-deficiency networks with a single linkage class, controlling one reaction makes any three stationary activities obey a linear relation whose coefficients are independent of the controlled rate constants, the conserved quantities (hence the initial state), and even of the stoichiometry of complexes. This predicts hidden activities and bounds the activity ratios the control can reach, while a violation signals nonzero deficiency or multiple linkage classes.
