Zheng Qi
Department of Epidemiology and Biostatistics, Texas A&M School of Public Health, College Station, Texas, 77843, USA.
Bull Math Biol. 2017 Apr;79(4):683-692. doi: 10.1007/s11538-017-0247-8. Epub 2017 Feb 17.
In around 1943, while writing a classic paper with Luria, Delbrück envisioned two kinds of mutation rates: One was expressed as mutations per bacterium per unit time, the other as mutations per bacterium per division cycle. Due to minor mathematical errors, the precise connection between the two concepts remained elusive for Delbrück. As a result, researchers and educators alike are still grappling with the definition of the mutation rate. Within the context of microbial mutation, the current author proposes an idealized model to bring new clarity to the distinction between the two forms of the mutation rate that Delbrück once attempted to define and characterize. The paper also critiques two incorrect estimators of mutation rates and brings to light two important yet unexplored "invariance" hypotheses about mutation rates.
大约在1943年,德尔布吕克在与卢里亚共同撰写一篇经典论文时,设想了两种突变率:一种表示为每单位时间每细菌的突变数,另一种表示为每个分裂周期每细菌的突变数。由于一些小的数学错误,这两个概念之间的确切联系对德尔布吕克来说仍然难以捉摸。因此,研究人员和教育工作者仍在努力理解突变率的定义。在微生物突变的背景下,本文作者提出了一个理想化模型,以重新清晰地界定德尔布吕克曾试图定义和描述的两种突变率形式之间的区别。本文还批评了两种错误的突变率估计方法,并揭示了关于突变率的两个重要但尚未探索的“不变性”假设。