论文标题
突变率的动力学理论
The kinetic theory of mutation rates
论文作者
论文摘要
luria--delbrück突变模型是进化论的基石，并以多种方式被数学地提出。在本文中，我们说明了如何通过经典的统计力学工具来得出这种突变速率模型，特别是通过对借用从稀有气体的经典动力学理论借用的方法进行建模。目的是构建一个线性动力学模型，该模型可以从定性和定量描述突变细胞的变化的基本相互作用开始，从而重现luria-delbrück分布。动力学描述很容易适应不同的情况，并可以清楚地确定导致Luria-delbrück，Lea-Coulson和Kendall配方的基本变化之间的差异。动力学方法还强调了基本原理，这些原理不仅有助于统一现有结果，而且还可以进行有用的扩展。
The Luria--Delbrück mutation model is a cornerstone of evolution theory and has been mathematically formulated in a number of ways. In this paper we illustrate how this model of mutation rates can be derived by means of classical statistical mechanics tools, in particular by modeling the phenomenon resorting to methodologies borrowed from classical kinetic theory of rarefied gases. The aim is to construct a linear kinetic model that can reproduce the Luria--Delbrück distribution starting from the elementary interactions that qualitatively and quantitatively describe the variation of mutated cells. The kinetic description is easily adaptable to different situations and makes it possible to clearly identify the differences between the elementary variations leading to the formulations of Luria--Delbrück, Lea--Coulson, and Kendall, respectively. The kinetic approach additionally emphasizes basic principles which not only help to unify existing results but also allow for useful extensions.
