Mutation timing in a spatial model of evolution
Mutation timing in a spatial model of evolution
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DOI：
10.1016/j.spa.2020.05.015
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发表时间：
2020-10-01
影响因子：
1.4
通讯作者：
Schweinsberg, Jason
中科院分区：
文献类型：
--
作者：
Foo, Jasmine;Leder, Kevin;Schweinsberg, Jason
在肿瘤形成模型的启发下，细胞需要获得k个突变才能癌变，我们考虑了一个空间种群模型，其中种群由边长L的d维环面表示。最初，没有任何位置有突变，但具有I-1突变的位置以每单位面积的速率u(I)获得第i个突变。突变以α的速率扩散到相邻的位置，使得突变后的t个时间单位，获得突变的个体区域将是半径为αt的球体。对于某些参数值范围，我们计算了某个个体获得k个突变所需时间的渐近分布。我们的结果是建立在Durrett、Foo和Leder之前工作的基础上的，当k=2并且当Mu(I)=Mu时，我们的结果基本完成。(C)2020 Elsevier B.V.保留所有权利。
Motivated by models of cancer formation in which cells need to acquire k mutations to become cancerous, we consider a spatial population model in which the population is represented by the d-dimensional torus of side length L. Initially, no sites have mutations, but sites with i - 1 mutations acquire an ith mutation at rate mu(i) per unit area. Mutations spread to neighboring sites at rate alpha, so that t time units after a mutation, the region of individuals that have acquired the mutation will be a ball of radius alpha t. We calculate, for some ranges of the parameter values, the asymptotic distribution of the time required for some individual to acquire k mutations. Our results, which build on previous work of Durrett, Foo, and Leder, are essentially complete when k = 2 and when mu(i) = mu, for all i. (C) 2020 Elsevier B.V. All rights reserved.