The genetic code and cyclic codes.

J Demongeot, J Besson
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Abstract

We proposed previously a cyclic code made of 22 triplets, which we now call the AB code. It is made up of the following chain: AUGGUGCCAUUCAAGACUAUGA. The letters A, U, C, G represent the classical symbols of the (purine and pyrimidine) bases of the genetic code. This chain presents the following features: (1) when it is in cyclic form, it begins with the initiation codon AUG, ends with the termination codon UGA, and it can be read triplet after triplet by choosing 1 and only 1 representative of each synonymy class in the classical degenerate genetic code made of 64 triplets. The chain, therefore, possesses 1 and only 1 codon for each amino-acid; (2) except for the doublet CG, triplets of the chain begin with the 15 other possible doublets of bases (satisfying the "wobble" hypothesis presented by Crick); (3) it corresponds (except for 1 base) to the "loop" part of the CEnothera mitochondrial Gly-tRNA; (4) it can be modified, without loss of the properties (1) and (2), in such a way as to have 15 bases in common with the loop part of other mitochondrial tRNA's considered as primitive, like Ala-, Pro- and Arg-tRNA; (5) it contains the most frequent triplets, but not the most rare ones, appearing in the genome of numerous species; (6) it exhibits a coherent internal structure with respect to the molecular weight of its triplets. This structure, also found in the loop part of mitochondrial tRNA's, contains an excess of AU bases with respect to GC bases. This fact has no explanation in the classical probabilistic model of the tRNA's. Therefore, we propose the cyclic AB code as a primitive genetic structure with the essential coding properties of the present genetic code.

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遗传密码和循环密码。
我们之前提出了一个由22个三联体组成的循环码,我们现在称之为AB码。它由以下链条组成:AUGGUGCCAUUCAAGACUAUGA。字母A、U、C、G代表遗传密码中(嘌呤和嘧啶)碱基的经典符号。该链具有以下特点:(1)在环状形式时,以起始密码子AUG开始,以终止密码子UGA结束,在64个三元组组成的经典简并遗传密码中,每个同义类选择1个且仅1个代表,可以一个三元组接一个三元组地读取。因此,该链对每个氨基酸具有且仅具有1个密码子;(2)除CG双线外,链的三联体以其他15个可能的碱基双线开始(满足Crick提出的“摆动”假说);(3)它对应于CEnothera线粒体Gly-tRNA的“loop”部分(除了1个碱基);(4)可以在不丧失(1)和(2)性质的情况下对其进行修饰,使其与其他被认为是原始的线粒体tRNA(如Ala-、Pro-和Arg-tRNA)的环部分具有15个碱基相同;(5)它包含最常见的三胞胎,但不是最罕见的,出现在许多物种的基因组中;(6)相对于其三联体分子的分子量,它表现出一个连贯的内部结构。这种结构也存在于线粒体tRNA的环状部分,相对于GC碱基,它含有过量的AU碱基。这一事实在tRNA的经典概率模型中无法解释。因此,我们提出循环AB密码是一个原始的遗传结构,具有现有遗传密码的基本编码特性。
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