利用振荡信号报时的准确性
The accuracy of telling time via oscillatory signals
摘要：
昼夜节律钟是生命的核心计时器，使细胞能够预测白天和黑夜之间的变化。近年来的实验表明，生物钟可以高度稳定，这就提出了一个问题，即它们的可靠性如何。在这里，我们将数学建模与信息论相结合，以解决细胞如何准确地从生物钟驱动的蛋白质振荡集合中推断时间的问题。我们表明，精度的增加与振荡的数量和它们的振幅相对于它们的噪声。我们的分析还表明，它们存在一个最佳的相位关系，使时间估计的误差最小化，这取决于蛋白质振荡的相对噪声水平。最后，我们的工作表明，蛋白质振荡噪声中的互相关可以增强互信息，这表明读出时钟的蛋白质之间的交叉调节相互作用可以有利于时间信息传输。
英文摘要：
Circadian clocks are the central timekeepers of life, allowing cells to anticipate changes between day and night. Experiments in recent years have revealed that circadian clocks can be highly stable, raising the question how reliably they can be read out. Here, we combine mathematical modeling with information theory to address the question how accurately a cell can infer the time from an ensemble of protein oscillations, which are driven by a circadian clock. We show that the precision increases with the number of oscillations and their amplitude relative to their noise. Our analysis also reveals that their exists an optimal phase relation that minimizes the error in the estimate of time, which depends on the relative noise levels of the protein oscillations. Lastly, our work shows that cross-correlations in the noise of the protein oscillations can enhance the mutual information, which suggests that cross-regulatory interactions between the proteins that read out the clock can be beneficial for temporal information transmission.
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