论文标题

在不断发展的基因组种群的准链接平衡方面中的高斯封闭方案

Gaussian Closure Scheme in the Quasi-Linkage Equilibrium Regime of Evolving Genome Populations

论文作者

Mauri, Eugenio, Cocco, Simona, Monasson, Rémi

论文摘要

描述在复杂的健身景观中进化的基因组群体的演变通常非常困难。我们在这里引入了一个近似的高斯闭合方案,以分析表征所谓的准链式平衡(QLE)制度中基因组人群的统计数据,适用于突变或重组和适应性函数的通用值。 高斯的近似值在短距离健身景观上进行了说明,其中有两个远距离和竞争最大值。它揭示了从基因组的广泛分布到极化分布的存在,因为上位耦合的强度被提高,其特征是竞争等位基因域的缓慢变形动力学。封闭方案的结果通过数值模拟证实。

Describing the evolution of a population of genomes evolving in a complex fitness landscape is generally very hard. We here introduce an approximate Gaussian closure scheme to characterize analytically the statistics of a genomic population in the so-called Quasi--Linkage Equilibrium (QLE) regime, applicable to generic values of the rates of mutation or recombination and fitness functions. The Gaussian approximation is illustrated on a short-range fitness landscape with two far away and competing maxima. It unveils the existence of a phase transition from a broad to a polarized distribution of genomes as the strength of epistatic couplings is increased, characterized by slow coarsening dynamics of competing allele domains. Results of the closure scheme are corroborated by numerical simulations.

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