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SYMMETRICAL ANALYSIS OF THE MITOCHNODRIAL AND GENOMIC CODES
线粒体遗传密码及基因组遗传密码的对称分析

Keywords: Mitochondria,Genetic code,High dimension space,Degeneracy,Symmetry breaking,Topological connectivity
基因组
,线粒体,遗传密码,高维空间,简并度,对称破缺,拓扑连通性

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Abstract:

Virus, bacteria and eukaryocytes use the same genetic code table to encodes amino acids. It means that they would come from the same origin. But the mitochondrial genetic codes differ from the genomic genetic codes as follows: (1). ATA encodes methionine and not isoleucine; (2). TGA encodes tryptophane and not the terminate code; (3). AGA and AGG encode terminate codes and not arginine. A symmetrical analysis is made to compare the mitochondrial genetic codes with the genomic genetic codes and the following results can be obtained: (1). There are two initiate codes in the mitochondrial genetic codes as compared to one initiate code in genomic genetic codes; (2). There are four terminate codes in mitochondrial genetic codes as compared to three terminate codes in genomic genetic codes; (3). In mitochondrial genetic codes, there exist only 2, 4, 6, degeneracies of even number and lack of the 1 and 3 degeneracies of odd number; (4). In mitochondrial genetic codes, codons of serine are separated into two parallel isolated subspaces as well as the terminate codes; (5). Three degenerate planes appear variations in mitochondrial genetic codes as compare to the genomic genetic codes: 1001λλ(M and I), 011λ1λ(W and X), 1011λλ(S and X or S and R); (6). The appearance of 1 and 3 degeneracies of odd number in genomic genetic codes may originate from the symmetry breaking of the two degenerate planes 1001λλ and 011λ1λ of mitochondrial genetic codes. A common degenerate rule of connectivity of the genetic codons can be derived: " except the codons of serine which are separated into two independent subspaces, all the codons of the other 19 kinds of amino acids are degenerate through the λ degeneracy to form the unique and independent subspaces of connectivity. Three terminate codons in genomic genetic codes form a unique and connective subspace, while the four terminate codons in mitochondrial genetic codes are separated into two independent subspaces." The biological significance of the mitochondrial genetic codes and the possible evolution path of genetic codons are also analyzed and discussed.

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