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首页> 外文期刊>Journal of Theoretical Biology >Comparative study of circadian clock models, in search of processes promoting oscillation.
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Comparative study of circadian clock models, in search of processes promoting oscillation.

机译：昼夜节律模型的比较研究，以寻找促进振荡的过程。

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We study simple models for circadian rhythm, and examine the condition in which the equilibrium is unstable, generating a sustained oscillation. In the models, a clock gene(s) is transcribed to produce mRNAs, which are translated to produce proteins that suppress the transcription of the clock gene(s). First, using a Lyapunov function, we prove under very general conditions that two-variable models cannot generate a stable oscillation, implying that additional structures are needed for the model to generate a sustainable rhythm. By comparing several models of different complexities using the Routh-Hurwitz criteria of stability, we show that a sustained oscillation is more likely to occur if the cell is compartmentalized and the proteins need to be transported from the cytosol to the nucleus, if the proteins have to be modified before entering the nucleus, if the kinetics of transcription inhibition or the transport to the nucleus have cooperativity with a nonlinear dependence on the substrate concentration, or if the products of two clock genes form a heterodimer that suppresses both of their own genes. We discuss the implications of these results.
机译：我们研究了昼夜节律的简单模型，并检查了平衡不稳定且产生持续振荡的条件。在模型中，转录一个或多个时钟基因以产生mRNA，将其翻译以产生抑制时钟基因转录的蛋白质。首先，使用李雅普诺夫（Lyapunov）函数，我们在非常普遍的条件下证明了二变量模型不能产生稳定的振荡，这意味着该模型需要额外的结构才能产生可​​持续的节奏。通过使用Routh-Hurwitz稳定性标准比较几种不同复杂度的模型，我们表明，如果细胞被分隔开并且蛋白质需要从胞质溶胶转运到细胞核，则如果蛋白质具有如果转录抑制或转运到核的动力学具有对底物浓度的非线性依赖性的协同作用，或者两个时钟基因的产物形成了一个抑制两个自身基因的异二聚体，则在进入核之前进行修饰。我们讨论了这些结果的含义。

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