We reformulate the eigenvalue problem for the selection--mutation equilibrium distribution in the case of a haploid asexually reproduced population in the form of an equation for an unknown probability generating function of this distribution. The special form of this equation in the infinite sequence limit allows us to obtain analytically the steady state distributions for a number of particular cases of the fitness landscape. The general approach is illustrated by examples; theoretical findings are compared with numerical calculations.
A nearly-neutral biallelic Moran model with biased mutation and linear and quadratic selection
本文分析了具有线性和二次选择的双等位基因可逆突变模型。该方法与Kimura提出的方法（Possibility of extensive neutral evolution under stabilizing selection with special reference to nonrandom use of codons（PNAS，1981））相关联，后者从扩散模型出发，推导出其平衡分布直到常数。我们使用边界突变Moran模型，该模型近似于小有效突变率的一般突变模型，并推导出其在小型到中型群体中多态性和单态变体的平衡分布。使用这个模型，我们表明，有偏见的突变率和线性选择单独可以导致模式的多态性率和人口之间的替代率，通常归因于平衡或超显性选择。我们说明了这一点，使用短内含子和四倍的果蝇simulans和果蝇的简并位点的数据集。
Emergent frequency-dependent selection predicts mutation outcomes in complex ecological communities
MIT Center for Theoretical Physics - a Leinweber Institute（麻省理工学院理论物理中心（莱因韦伯研究所））；Department of Physics, Boston University（波士顿大学物理系）；International Centre for Theoretical Sciences, Tata Institute of Fundamental Research（塔塔基础研究院国际理论科学中心）；Faculty of Computing and Data Sciences, Boston University（波士顿大学计算与数据科学学院）
Fitness Inference in Presence of Migrations between Coupled Evolving Populations
School of Science, Nanjing University of Posts and Telecommunications（南京邮电大学理学院）；Department of Physics, Université Paris-Saclay（巴黎萨克雷大学物理系）；National Laboratory of Solid State Microstructures, Nanjing University（南京大学固体微结构物理国家重点实验室）；Department of Computational & Systems Biology, University of Pittsburgh School of Medicine（匹兹堡大学生物计算与系统生物学系）
