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关于非单调稳态响应曲线

On non-monotonic steady state response curves

Polly Y. Yu, Eduardo D. Sontag

arXiv 2610.04029首次发表:更新:

发表机构

University of Illinois Urbana-Champaign; Northeastern University(伊利诺伊大学厄巴纳-香槟分校; 东北大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究证明非单调稳态响应曲线可由非相干前馈环或正负反馈组合产生,并推广至任意系统,为信号通路、基因调控和生态模型提供理论依据。

AI 中文摘要

非单调稳态响应曲线可以容易地由非相干前馈环(IFFL)产生,且IFFL也被推测为必要机制。在先前的工作中,我们证明了当控制参数仅直接影响一个状态变量时,该猜想不成立。在此,我们将此结果推广到任意系统。我们证明,稳定的非单调响应需要IFFL或正反馈与负反馈环的组合。最后,我们将理论发现应用于三种网络结构的生物情境:信号转导通路、基因调控和生态消费者-资源模型。对于前两种情境,我们识别出非单调响应所必需的结构基序,而对于消费者-资源模型,我们提供了竞争排斥原理的另一种证明。

英文摘要

Non-monotonic steady state response curves can readily arise from an incoherent feedforward loop (IFFL), which has also been conjectured to be a necessary mechanism. In a previous work, we showed this conjecture to be false for systems where the control parameter directly influences only one state variable. Here, we extend this result to arbitrary systems. We show that a stable non-monotonic response requires either an IFFL or a combination of positive and negative feedback loops. Finally, we apply our theoretical findings to three network-structured biological contexts: signaling pathways, gene regulation, and ecological consumer-resource models. For the first two contexts, we identify necessary motifs for non-monotonic responses, while for consumer-resource models, we provide an alternative proof of the Competitive Exclusion Principle.

Comments38 pages, 23 pages appendix

论文原文

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