We derive phenomenological models of gene expression from a mechanistic description of chemical reactions using an automated model reduction method. Using this method, we get analytical descriptions and computational performance guarantees to compare the reduced dynamics with the full models. We develop a new two-state model with the dynamics of the available free ribosomes in the system and the protein concentration. We show that this new two-state model captures the detailed mass-action kinetics of the chemical reaction network under various biologically plausible conditions on model parameters. On comparing the performance of this model with the commonly used mRNA transcript-protein dynamical model for gene expression, we analytically show that the free ribosome and protein model has superior error and robustness performance.

中文翻译：

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两种状态的核糖体和蛋白质模型可以可靠地捕获基因表达的化学反应动力学

我们使用自动模型还原方法从化学反应的机械描述中得出基因表达的现象学模型。使用这种方法，我们可以获得分析描述和计算性能保证，以将简化后的动力学与完整模型进行比较。我们用系统中可用游离核糖体的动力学和蛋白质浓度开发了一个新的两态模型。我们表明，这种新的二态模型捕获了模型参数上各种生物学上合理的条件下化学反应网络的详细质量作用动力学。通过比较该模型与常用的基因表达的mRNA转录-蛋白质动力学模型的性能，我们分析性地显示出游离核糖体和蛋白质模型具有出色的错误和鲁棒性。