Theoretical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam; and A.I. Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation, 2 Alikhanian Brothers Street, Yerevan 375036, Armenia.
Phys Rev E. 2018 Jan;97(1-1):012409. doi: 10.1103/PhysRevE.97.012409.
We consider many-site mutation-recombination models of evolution with selection. We are looking for situations where the recombination increases the mean fitness of the population, and there is an optimal recombination rate. We found two fitness landscapes supporting such nonmonotonic behavior of the mean fitness versus the recombination rate. The first case is related to the evolution near the error threshold on a neutral-network-like fitness landscape, for moderate genome lengths and large population. The more realistic case is the second one, in which we consider the evolutionary dynamics of a finite population on a rugged fitness landscape (the smooth fitness landscape plus some random contributions to the fitness). We also give the solution to the horizontal gene transfer model in the case of asymmetric mutations. To obtain nonmonotonic behavior for both mutation and recombination, we need a specially designed (ideal) fitness landscape.
我们考虑了带有选择的多位点突变-重组进化模型。我们正在寻找这样的情况：重组会增加群体的平均适应度，并且存在最佳的重组率。我们发现了两种适合度景观，它们支持平均适应度与重组率之间的这种非单调行为。第一种情况与中性网络样适合度景观上误差阈值附近的进化有关，适用于中等基因组长度和大群体。第二种情况更为现实，我们考虑了在崎岖的适合度景观上有限群体的进化动态（平滑的适合度景观加上对适合度的一些随机贡献）。我们还给出了不对称突变情况下水平基因转移模型的解。为了使突变和重组都表现出非单调行为，我们需要一个专门设计的（理想的）适合度景观。
