Lawson Daniel John, Jensen Henrik Jeldtoft
Department of Mathematics, Imperial College London, South Kensington Campus, London, UK.
Phys Rev Lett. 2007 Mar 2;98(9):098102. doi: 10.1103/PhysRevLett.98.098102. Epub 2007 Feb 26.
The process of "evolutionary diffusion," i.e., reproduction with local mutation but without selection in a biological population, resembles standard diffusion in many ways. However, evolutionary diffusion allows the formation of localized peaks that undergo drift, even in the infinite population limit. We relate a microscopic evolution model to a stochastic model which we solve fully. This allows us to understand the large population limit, relates evolution to diffusion, and shows that independent local mutations act as a diffusion of interacting particles taking larger steps.
“进化扩散”过程，即在生物种群中进行局部突变的繁殖但无选择，在许多方面类似于标准扩散。然而，进化扩散允许形成经历漂移的局部峰值，即使在无限种群极限情况下也是如此。我们将一个微观进化模型与一个我们完全求解的随机模型联系起来。这使我们能够理解大种群极限，将进化与扩散联系起来，并表明独立的局部突变起到了相互作用粒子进行更大步长扩散的作用。
