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On the relation between fluctuation and response in biological systems

机译：生物系统中波动与反应之间的关系

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摘要

A general relationship between fluctuation and response in a biological system is presented, The fluctuation is given by the variance of some quantity, whereas the response is given as the average change of that quantity for a given parameter change. We propose a relationship where the two are proportional, in a similar way to the fluctuation-dissipation theorem in physics. By studying an evolution experiment where fluorescence of protein in bacteria increases, we confirm our relation by observing a positive correlation between the speed of fluorescence evolution and the phenotypic fluctuation of the fluorescence over clone bacteria. The generality of the relationship as well as its relevance to evolution is discussed.
机译：给出了生物系统中波动与响应之间的一般关系，波动是由某个数量的方差给出的，而响应是作为给定参数变化时该数量的平均变化给出的。我们提出了一种两者之间成比例的关系，类似于物理学中的耗散定理。通过研究细菌中蛋白质荧光增加的进化实验，我们通过观察克隆细菌上的荧光进化速度和荧光表型波动之间的正相关关系，来证实我们的关系。讨论了关系的普遍性及其与进化的关系。

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