细菌基因组进化的代数观
An algebraic view of bacterial genome evolution
摘要：
细菌染色体的重排可以在几个层次上进行数学研究，最突出的是在局部或序列水平，以及在拓扑水平。局部涉及的生物学变化是倒位、缺失和易位，而拓扑学上它们是打结和连锁。这两种建模方法共享一些与辫群和Coxeter群相关的令人惊讶的代数特征。作为代数核心的结构方法在物理学和分析化学等科学领域早已得到应用，但迄今为止在生物学中的应用还很少。然而，也有一些例子表明，代数的观点可以捕捉到生物现象背后更深层次的结构。本文讨论了一个家庭的细菌基因组进化的生物学问题，这可能是这种情况下，并提出了前景，代数学家在上个世纪开发的工具可能会提供洞察力，这一领域的进化生物学。.
英文摘要：
Rearrangements of bacterial chromosomes can be studied mathematically at several levels, most prominently at a local, or sequence level, as well as at a topological level. The biological changes involved locally are inversions, deletions, and transpositions, while topologically they are knotting and catenation. These two modelling approaches share some surprising algebraic features related to braid groups and Coxeter groups. The structural approach that is at the core of algebra has long found applications in sciences such as physics and analytical chemistry, but only in a small number of ways so far in biology. And yet there are examples where an algebraic viewpoint may capture a deeper structure behind biological phenomena. This article discusses a family of biological problems in bacterial genome evolution for which this may be the case, and raises the prospect that the tools developed by algebraists over the last century might provide insight to this area of evolutionary biology. .
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
