崎岖地形上的进化：钉扎和老化
Evolution on a Rugged Landscape:Pinning and Aging
摘要：
在一个简单的离散模型内的N个个体在一维适应度空间中的演化分析和数值研究了崎岖景观的种群动态。我们减少了一组主方程到一个单一的福克-普朗克方程，使我们能够描述人口的动态热激活Langevin扩散的单个粒子在一个特定的随机电位。我们发现突变率的随机性导致了种群的钉扎，平均而言导致了演化的对数减慢，类似于自旋玻璃系统中的老化现象。相反，复制率的随机性在长时间限制下与进化无关，因为它通过增加“进化温度”而变得平滑。分析结果与数值模拟结果吻合较好。
英文摘要：
Population dynamics on a rugged landscape is studied analytically and numerically within a simple discrete model for evolution of N individuals in one-dimensional fitness space. We reduce the set of master equations to a single Fokker-Plank equation which allows us to describe the dynamics of the population in terms of thermo-activated Langevin diffusion of a single particle in a specific random potential. We found that the randomness in the mutation rate leads to pinning of the population and on average to a logarithmic slowdown of the evolution, resembling aging phenomenon in spin glass systems. In contrast, the randomness in the replication rate turns out to be irrelevant for evolution in the long-time limit as it is smoothed out by increasing ``evolution temperature''. The analytic results are in a good agreement with numerical simulations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
