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The increase of the period with the period-lengthening reaction\nrates occurs when the amplitude of the slow phase in the oscillation increases\nwith these rates while the progression-speed in the slow phase is controlled by\nother rates of the system. The positive dependence of the period on the\nperiod-lengthening rates balances its inverse dependence on other kinetic rates\nin the system, which gives rise to robust TC in a wide range of parameters. We\ndemonstrate the existence of such period-lengthening reactions and their\nrelevance for TC in all four model systems we considered. Theoretical results\nfor a model of the Kai system are supported by experimental data. A study of\nthe energy dissipation also shows that better TC performance requires higher\nenergy consumption. Our study unveils a general mechanism by which a\nbiochemical oscillator achieves TC by operating at regimes far from the onset\nwhere period-lengthening reactions exist.","PeriodicalId":501325,"journal":{"name":"arXiv - QuanBio - Molecular Networks","volume":"156 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Temperature Compensation through Kinetic Regulation in Biochemical Oscillators\",\"authors\":\"Haochen Fu, Chenyi Fei, Qi Ouyang, Yuhai Tu\",\"doi\":\"arxiv-2401.13960\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Nearly all circadian clocks maintain a period that is insensitive to\\ntemperature changes, a phenomenon known as temperature compensation (TC). Yet,\\nit is unclear whether there is any common feature among different systems that\\nexhibit TC. 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引用次数: 0
摘要
几乎所有的昼夜节律钟都能保持一个对温度变化不敏感的周期,这种现象被称为温度补偿(TC)。然而,目前还不清楚不同系统之间是否存在表现出温度补偿的共同特征。从一般时标不变量出发,我们证明了温度补偿依赖于某些周期延长反应的存在,在这些反应中,系统的周期随着反应速率的增加而强烈增加。通过研究几种一般振荡器模型,我们发现这种反常的依赖性是非线性(远离起始点)振荡器的共同特征,在这种振荡器中,振荡可以分为快慢两个阶段。当振荡中慢相的振幅随着这些速率的增加而增加,而慢相的进速度受系统的其他速率控制时,周期就会随着周期延长反应速率的增加而增加。周期对周期延长速率的正向依赖性平衡了其对系统中其他动力学速率的反向依赖性,从而在广泛的参数范围内产生了稳健的 TC。我们证明了这种周期延长反应的存在,以及它们在我们所考虑的所有四个模型系统中与 TC 的相关性。实验数据支持了 Kai 系统模型的理论结果。对能量耗散的研究还表明,更好的热电偶性能需要更高的能量消耗。我们的研究揭示了一种普遍机制,即生化振荡器通过在远离周期延长反应存在的起始状态下运行来实现 TC。
Temperature Compensation through Kinetic Regulation in Biochemical Oscillators
Nearly all circadian clocks maintain a period that is insensitive to
temperature changes, a phenomenon known as temperature compensation (TC). Yet,
it is unclear whether there is any common feature among different systems that
exhibit TC. From a general timescale invariance, we show that TC relies on
existence of certain period-lengthening reactions wherein the period of the
system increases strongly with the rates in these reactions. By studying
several generic oscillator models, we show that this counter-intuitive
dependence is nonetheless a common feature of oscillators in the nonlinear
(far-from-onset) regime where the oscillation can be separated into fast and
slow phases. The increase of the period with the period-lengthening reaction
rates occurs when the amplitude of the slow phase in the oscillation increases
with these rates while the progression-speed in the slow phase is controlled by
other rates of the system. The positive dependence of the period on the
period-lengthening rates balances its inverse dependence on other kinetic rates
in the system, which gives rise to robust TC in a wide range of parameters. We
demonstrate the existence of such period-lengthening reactions and their
relevance for TC in all four model systems we considered. Theoretical results
for a model of the Kai system are supported by experimental data. A study of
the energy dissipation also shows that better TC performance requires higher
energy consumption. Our study unveils a general mechanism by which a
biochemical oscillator achieves TC by operating at regimes far from the onset
where period-lengthening reactions exist.