Reconstructibility of a general DNA evolution model

Reconstructibility of a general DNA evolution model
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一般DNA进化模型的可重构性

DOI:
10.1016/j.disc.2022.112836
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发表时间:
2022
影响因子:
0.8
通讯作者:
Liu, Wenjian
Liu, Wenjian
中科院分区:
数学3区
文献类型:
--
作者:
Ning, Ning;Liu, Wenjian

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本文分析了树的重建问题,以确定当树的层次达到无穷大时,是否存在根的非零信息。虽然已经在许多背景下对其进行了研究,但现有的具有严格重建阈值的文献非常有限,当被研究的模型有四个状态时,它变得非常具有挑战性,其中一个状态的解释是在脱氧核糖核酸(DNA)和核糖核酸(RNA)中发现的四个主要碱基:鸟嘌呤[G]、胞嘧啶[C]、腺嘌呤[A]和胸腺嘧啶[T]。在本文中,我们研究了一个一般的DNA进化模型,该模型区分了转换和颠换,并允许颠换以相同的速率发生,但该速率可以与转换的速率不同。严格地建立了重构的充分条件。
In this paper, we analyze the tree reconstruction problem, to identify whether there is non-vanishing information of the root, as the level of the tree goes to infinity. Although it has been studied in numerous contexts, the existing literature with rigorous reconstruction thresholds established are very limited, and it becomes extremely challenging when the model under investigation has 4 states, one of whose interpretations is the four main bases found in Deoxyribonucleic acid (DNA) and Ribonucleic acid (RNA): guanine [G], cytosine [C], adenine [A], and thymine [T]. In this paper, we study a general DNA evolution model, which distinguishes between transitions and transversions, and allow transversions to occur at the same rate but that rate can be different from the rates for transitions. The sufficient condition for reconstruction is rigorously established.
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