The Statistical Theory of Bacterial Populations Subject to Mutation
受突变影响的细菌种群统计理论AI 解读 ↓
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AI 根据所提供的论文材料归类：摘要属于细菌种群增长与突变过程的统计建模，没有所列经济领域的直接内容，分布上部估计也不等同于金融尾部风险。
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受突变影响的细菌种群统计理论
- 研究问题
- 两类细菌以可能不同的速率分裂并发生单向或双向突变时，如何描述种群增长，并在表型延迟和重复培养抽样下估计突变率？
- 方法与思路
- 作者结合确定性与随机理论，讨论突变率定义、短期实验及联合分布的累积量近似，再比较估计方法并拟合已有培养数据。
- 材料陈述的贡献
- 摘要称，在存在表型延迟的短期实验中，基于突变数分布上部的方法较可取；但所用延迟模型对部分已有数据的拟合不理想。
- 阅读关注点
- 应核对突变率的定义、分裂与突变机制、表型延迟模型，以及上部统计量的比较标准和预测两三个突变体培养过多的拟合问题。
- 阅读边界
- 仅依据所给Crossref摘要；方法偏好限于所述实验与延迟情形，具体参数和误差未提供，且摘要明确报告所尝试模型的拟合不足。
原文摘要
Summary This paper is a study of the growth of a mixed bacterial population composed of two types of organisms, and subject to mutation from one type to the other, in one or both directions. The bacteria divide by binary fission, but the rates of division for the two types may differ. The paper is intended as a unified and critical presentation of statistical results previously published by other authors, together with a number of new results. The first part presents a mathematical theory, from both the deterministic and the stochastic viewpoints. The definition of a mutation rate is discussed in some detail. Particular attention is directed to the situation in which the proportion of organisms of one type remains negligible throughout the period of growth (so-called short-term experiments); the effects of delayed phenotypic expression and of the sampling of replicate cultures are considered. For the more general situations, approximate expressions are obtained for the first few cumulants of the joint distribution of the numbers of organisms of each type present at any time. The second part is concerned with methods of estimation of the parameters of a mutation process. In particular I examine the suitability of various methods of estimating the mutation rate in short-term experiments, when phenotypic delay is present. Methods based on the upper portion of the distribution of the number of mutants in replicate cultures, such as the upper quartile, are preferable. The verification of the theory by certain data published by other authors is considered in the third part. An attempt is made to fit some observed distributions of the number of mutants in replicate cultures, using a particular model for phenotypic delay; the fit is unsatisfactory, the fitted distributions having too high a frequency of cultures with two or three mutants.