Survival probabilities at spherical frontiers
Survival probabilities at spherical frontiers
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DOI：
10.1016/j.tpb.2015.03.002
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发表时间：
2015-06-01
影响因子：
1.4
通讯作者：
Nelson, David R.
中科院分区：
文献类型：
--
作者：
Lavrentovich, Maxim O.;Nelson, David R.
受肿瘤生长和空间群体遗传学的启发，我们研究了三维球形范围扩展表面的进化和空间动力学之间的相互作用。我们考虑范围扩展半径随时间的任意幂律增长：R（t）= R-0（1 + t/t*）（Theta），其中Theta是增长指数，R-0是初始半径，t* 是增长的特征时间，受膨胀几何的影响。我们改变参数t* 和Theta以捕获各种可能的增长机制。最近的二维膨胀范围扩展的结果的指导下，我们确定了关键的无量纲参数，描述了一个突变细胞的生存概率与一个小的选择性优势，在人口前沿。使用分析技术，我们计算任意θ的概率。我们将我们的结果与线性膨胀（Theta = 1球形Fisher-Kolmogorov-Petrovsky-Piscunov波）和研磨种群（Theta = 0，内部细胞通过凋亡或类似过程去除）的模拟进行比较。我们发现，在线性膨胀的前沿突变的生存概率提高了100或更多的因素相对于突变在milling人口边界。我们还讨论了“边际膨胀”（θ = 1/2）展开式的特殊性质。(C)2015爱思唯尔公司All rights reserved.
Motivated by tumor growth and spatial population genetics, we study the interplay between evolutionary and spatial dynamics at the surfaces of three-dimensional, spherical range expansions. We consider range expansion radii that grow with an arbitrary power-law in time: R(t) = R-0(1 + t/t*)(Theta), where Theta is a growth exponent, R-0 is the initial radius, and t* is a characteristic time for the growth, to be affected by the inflating geometry. We vary the parameters t* and Theta to capture a variety of possible growth regimes. Guided by recent results for two-dimensional inflating range expansions, we identify key dimensionless parameters that describe the survival probability of a mutant cell with a small selective advantage arising at the population frontier. Using analytical techniques, we calculate this probability for arbitrary Theta. We compare our results to simulations of linearly inflating expansions (Theta = 1 spherical Fisher-Kolmogorov-Petrovsky-Piscunov waves) and treadmilling populations (Theta = 0, with cells in the interior removed by apoptosis or a similar process). We find that mutations at linearly inflating fronts have survival probabilities enhanced by factors of 100 or more relative to mutations at treadmilling population frontiers. We also discuss the special properties of "marginally inflating" (Theta = 1/2) expansions. (C) 2015 Elsevier Inc. All rights reserved.