Centre for Research in Mathematics and Data Science, Western Sydney University, Sydney, Australia.
Centre for the Analysis of Time Series, London School of Economics, London, UK.
J Math Biol. 2020 May;80(6):1971-1992. doi: 10.1007/s00285-020-01487-w. Epub 2020 Apr 6.
This paper introduces a new way to define a genome rearrangement distance, using the concept of mean first passage time from probability theory. Crucially, this distance provides a genuine metric on genome space. We develop the theory and introduce a link to a graph-based zeta function. The approach is very general and can be applied to a wide variety of group-theoretic models of genome evolution.
本文提出了一种新的定义基因组重排距离的方法,使用概率论中的平均首通时间的概念。关键的是,该距离为基因组空间提供了真正的度量。我们发展了该理论并引入了一个与基于图的zeta 函数的联系。该方法非常通用,可以应用于广泛的基因组进化的群论模型。