论文标题
使用统一的有色噪声近似的遗传反馈回路的稳态波动
Steady-state fluctuations of a genetic feedback loop with fluctuating rate parameters using the unified colored noise approximation
论文作者
论文摘要
随机自动调节基因表达的一种常见模型描述了通过合作蛋白结合，在活性状态下的有效蛋白质产生和蛋白质稀释的启动子切换。在这里，我们考虑了该模型的延伸，在反应速率参数中添加了短相关时间的彩色噪声 - 我们表明，当适当地选择噪声的大小和时间尺度时，它会说明未明确建模的快速反应，例如，在没有mRNA的模型中，在蛋白质生产速率中没有mRNA描述，可以考虑核mrna的快速交换。我们展示了如何使用统一的有色噪声近似来得出与随机模拟良好一致的蛋白质数分布的表达式。我们发现，即使速率参数中的噪声很小，我们模型预测的蛋白质分布也可能与假设恒定反应速率的模型显着不同。
A common model of stochastic auto-regulatory gene expression describes promoter switching via cooperative protein binding, effective protein production in the active state and dilution of proteins. Here we consider an extension of this model whereby colored noise with a short correlation time is added to the reaction rate parameters -- we show that when the size and timescale of the noise is appropriately chosen it accounts for fast reactions that are not explicitly modelled, e.g., in models with no mRNA description, fluctuations in the protein production rate can account for rapid multiple stages of nuclear mRNA processing which precede translation in eukaryotes. We show how the unified colored noise approximation can be used to derive expressions for the protein number distribution that is in good agreement with stochastic simulations. We find that even when the noise in the rate parameters is small, the protein distributions predicted by our model can be significantly different than models assuming constant reaction rates.
