MUTATION FREQUENCIES IN A BIRTH-DEATH BRANCHING PROCESS

被引：21

作者：

Cheek, David ^{[1
]}

Antal, Tibor ^{[1
]}

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Midlothian, Scotland

来源：

ANNALS OF APPLIED PROBABILITY | 2018年 / 28卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

Branching processes; cancer; population genetics; LIMIT-THEOREMS; EVOLUTION; RESISTANCE; DYNAMICS;

D O I：

10.1214/18-AAP1413

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

First, we revisit the stochastic Luria-Delbruck model: a classic two-type branching process which describes cell proliferation and mutation. We prove limit theorems and exact results for the mutation times, clone sizes and number of mutants. Second, we extend the framework to consider mutations at multiple sites along the genome. The number of mutants in the two-type model characterises the mean site frequency spectrum in the multiple-site model. Our predictions are consistent with previously published cancer genomic data.

引用

页码：3922 / 3947

页数：26

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