Dragovich Branko, Mišić Nataša Ž
Institute of Physics, University of Belgrade, Belgrade, Serbia; Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia.
Research and Development Institute Lola Ltd, Kneza Višeslava 70a, Belgrade, Serbia.
Biosystems. 2019 Nov;185:104017. doi: 10.1016/j.biosystems.2019.104017. Epub 2019 Aug 18.
In this article, we consider p-adic modeling of the standard genetic code and the vertebrate mitochondrial one. To this end, we use 5-adic and 2-adic distance as a mathematical tool to describe closeness (nearness, similarity) between codons as elements of a bioinformation space. Codons which are simultaneously at the smallest 5-adic and 2-adic distance code the same (or similar) amino acid or stop signal. The set of codons is presented as an ultrametric tree as well as a fractal and p-adic network. It is shown that genetic code can be treated as sequential translation between genetic languages. This p-adic approach gives possibility to be applied to sequences of nucleotides of an arbitrary finite length. We present an overview of published and some new results on various p-adic properties of the genetic code.
在本文中，我们考虑标准遗传密码和脊椎动物线粒体遗传密码的p进数建模。为此，我们使用5进数和2进数距离作为一种数学工具，来描述作为生物信息空间元素的密码子之间的接近程度（邻近性、相似性）。同时处于最小5进数和2进数距离的密码子编码相同（或相似）的氨基酸或终止信号。密码子集呈现为一棵超度量树以及一个分形和p进数网络。结果表明，遗传密码可被视为遗传语言之间的顺序翻译。这种p进数方法使得有可能应用于任意有限长度的核苷酸序列。我们概述了已发表的以及一些关于遗传密码各种p进数性质的新结果。
