Mechanical Engineering Research Institute of Russian Academy of Sciences, 101990, Moscow, M. Kharitonievskiy Pereulok, 4, Russia.
Biosystems. 2024 Dec;246:105349. doi: 10.1016/j.biosystems.2024.105349. Epub 2024 Oct 10.
This article is devoted to the problem of genetically coding of inherited cyclic structures in biological bodies, whose life activity is based on a great inherited set of mutually coordinated cyclic processes. The author puts forward and arguments the idea that the genetic coding system is capable of encoding inherited cyclic processes because it itself is a system of cyclic codes connected with Boolean algebra of logic. In other words, the physiological processes in question are cyclical because they are genetically encoded by cyclic codes. In support of this idea, the author presents a set of his results on the connection of the genetic coding system with cyclic Gray codes, which are one of many known types of cyclic codes. This opens up the possibility of using for modeling inherited cyclic biostructures those algebraic and logical theories and constructions that are associated with Gray codes and have long been used in engineering technologies: Karnaugh maps, Hilbert curve, Hadamard matrices, Walsh functions, dyadic analysis, etc. The author believes that when studying the origin, evolution and function of the genetic code, it is necessary to take into account the ability of the genetic system to encode many mutually related cyclic processes.
本文致力于研究基于一大套相互协调的循环过程的生物体内遗传循环结构的基因编码问题。作者提出并论证了这样一种观点,即遗传编码系统能够对遗传循环过程进行编码,因为它本身就是一个与逻辑布尔代数相关联的循环码系统。换句话说,所讨论的生理过程是循环的,因为它们是由循环码遗传编码的。为了支持这一观点,作者提出了一组关于遗传编码系统与循环格雷码的连接的结果,格雷码是众多已知类型的循环码之一。这为使用与格雷码相关联并在工程技术中长期使用的代数和逻辑理论和结构来对遗传循环生物结构进行建模开辟了可能性:卡诺图、希尔伯特曲线、哈达玛矩阵、沃尔什函数、二进分析等。作者认为,在研究遗传密码的起源、进化和功能时,有必要考虑遗传系统对许多相互关联的循环过程进行编码的能力。