用固有噪声的时钟报时
Telling time with an intrinsically noisy clock
摘要：
通过化学和转录网络进行的细胞内信息传输受到物理限制的阻碍：组成化学物质的有限拷贝数引入了不可避免的固有噪声。在这里，我们提供了一种方法来解决固有噪声振荡驱动的完整概率描述。我们推导并数值验证了一些简单的标度律。与测量静态量的情况不同，对振荡驱动的响应可以表现出使信息传输最大化的谐振频率。此外，我们表明，最佳的监管设计是依赖于生物物理约束（即，允许的拷贝数和响应时间）。所得到的相图说明了在什么条件下阈值调节优于线性调节。
英文摘要：
Intracellular transmission of information via chemical and transcriptional networks is thwarted by a physical limitation: the finite copy number of the constituent chemical species introduces unavoidable intrinsic noise. Here we provide a method for solving for the complete probabilistic description of intrinsically noisy oscillatory driving. We derive and numerically verify a number of simple scaling laws. Unlike in the case of measuring a static quantity, response to an oscillatory driving can exhibit a resonant frequency which maximizes information transmission. Further, we show that the optimal regulatory design is dependent on the biophysical constraints (i.e., the allowed copy number and response time). The resulting phase diagram illustrates under what conditions threshold regulation outperforms linear regulation.
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