Dynamics of Advantageous Mutant Spread in Spatial Death-Birth and Birth-Death Moran Models
Dynamics of Advantageous Mutant Spread in Spatial Death-Birth and Birth-Death Moran Models
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空间死亡-出生和出生-死亡莫兰模型中有利突变体传播的动力学
DOI：
10.1007/s42967-023-00278-6
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发表时间：
2023
影响因子：
1.6
通讯作者：
Sivakoff, David
中科院分区：
文献类型：
--
作者：
Foo, Jasmine;Gunnarsson, Einar Bjarki;Leder, Kevin;Sivakoff, David
有利突变在种群中的传播是种群遗传学的基本兴趣。虽然经典的Moran模型是为混合良好的种群而建立的，但人们很早就认识到，在现实世界的应用中，种群通常具有明显的空间结构，这可以显著影响动态。在上皮癌发生的背景下，最近的几项工作利用粒子系统理论中的有偏投票者模型分析了有利突变在整数格子上扩散的动力学。在这个空间版的莫兰模型中，个体首先根据自己的健康状况进行繁殖，然后替换邻近的个体。从生物学的角度来看，相反的动态，即个体首先死亡，然后根据其适应性被邻近的个体取代，是同样相关的。在这里，我们研究这个有偏见的选民模型的死亡-出生类比。我们从数学上构造了该过程，导出了相应的对偶过程，建立了单个突变体存活概率的界，并证明了该过程具有渐近形状。我们还简要讨论了可选的出生-死亡和死亡-出生动力学，这取决于突变的适应度优势如何影响动力学。我们证明了当适应度影响模型每次更新的前一事件时，有偏选民模型的出生-死亡和死亡-出生公式是等价的，而当适应度影响后一事件时，出生-死亡模型与死亡-出生模型是根本不同的。
The spread of an advantageous mutation through a population is of fundamental interest in population genetics. While the classical Moran model is formulated for a well-mixed population, it has long been recognized that in real-world applications, the population usually has an explicit spatial structure which can significantly influence the dynamics. In the context of cancer initiation in epithelial tissue, several recent works have analyzed the dynamics of advantageous mutant spread on integer lattices, using the biased voter model from particle systems theory. In this spatial version of the Moran model, individuals first reproduce according to their fitness and then replace a neighboring individual. From a biological standpoint, the opposite dynamics, where individuals first die and are then replaced by a neighboring individual according to its fitness, are equally relevant. Here, we investigate this death-birth analogue of the biased voter model. We construct the process mathematically, derive the associated dual process, establish bounds on the survival probability of a single mutant, and prove that the process has an asymptotic shape. We also briefly discuss alternative birth-death and death-birth dynamics, depending on how the mutant fitness advantage affects the dynamics. We show that birth-death and death-birth formulations of the biased voter model are equivalent when fitness affects the former event of each update of the model, whereas the birth-death model is fundamentally different from the death-birth model when fitness affects the latter event.
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影响因子：
8.6
作者：
Antal, T.;Redner, S.;Sood, V.
通讯作者：
Sood, V.
影响因子：
1.8
作者：
Foo, Jasmine;Gunnarsson, Einar Bjarki;Storey, Kathleen
通讯作者：
Storey, Kathleen
DOI：
10.1098/rspa.2008.0058
发表时间：
2008-10-08
影响因子：
3.5
作者：
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通讯作者：
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影响因子：
4.3
作者：
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通讯作者：
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影响因子：
4.3
作者：
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通讯作者：
M. Nowak