Swartz Daniel W, Lee Hyunseok, Kardar Mehran, Korolev Kirill S
ArXiv. 2023 Jan 18:arXiv:2301.07246v1.
In growing populations, the fate of mutations depends on their competitive ability against the ancestor and their ability to colonize new territory. Here we present a theory that integrates both aspects of mutant fitness by coupling the classic description of one-dimensional competition (Fisher equation) to the minimal model of front shape (KPZ equation). We solved these equations and found three regimes, which are controlled solely by the expansion rates, solely by the competitive abilities, or by both. Collectively, our results provide a simple framework to study spatial competition.
在不断增长的种群中，突变的命运取决于它们相对于祖先的竞争能力以及开拓新领域的能力。在此，我们提出一种理论，通过将一维竞争的经典描述（费希尔方程）与前沿形状的最小模型（KPZ方程）相结合，来整合突变体适应性的这两个方面。我们求解了这些方程，发现了三种情况，它们分别仅由扩张速率、仅由竞争能力或由两者共同控制。总体而言，我们的结果提供了一个研究空间竞争的简单框架。
