Symmetrical Properties of Graph Representations of Genetic Codes: From Genotype to Phenotype

It has long been claimed that the mitochondrial genetic code possesses more symmetries than the Standard Genetic Code (SGC). To test this claim, the symmetrical structure of the SGC is compared with noncanonical genetic codes. We analyzed the symmetries of the graphs of codons and their respective p...

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Main Authors: Marco V. José, Gabriel S. Zamudio
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/10/9/388
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author Marco V. José
Gabriel S. Zamudio
author_facet Marco V. José
Gabriel S. Zamudio
author_sort Marco V. José
collection DOAJ
description It has long been claimed that the mitochondrial genetic code possesses more symmetries than the Standard Genetic Code (SGC). To test this claim, the symmetrical structure of the SGC is compared with noncanonical genetic codes. We analyzed the symmetries of the graphs of codons and their respective phenotypic graph representation spanned by the RNY (R purines, Y pyrimidines, and N any of them) code, two RNA Extended codes, the SGC, as well as three different mitochondrial genetic codes from yeast, invertebrates, and vertebrates. The symmetry groups of the SGC and their corresponding phenotypic graphs of amino acids expose the evolvability of the SGC. Indeed, the analyzed mitochondrial genetic codes are more symmetrical than the SGC.
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spelling doaj.art-823e706d730840aa90e75647c1fd956b2022-12-22T04:03:59ZengMDPI AGSymmetry2073-89942018-09-0110938810.3390/sym10090388sym10090388Symmetrical Properties of Graph Representations of Genetic Codes: From Genotype to PhenotypeMarco V. José0Gabriel S. Zamudio1Theoretical Biology Group, Instituto de Investigaciones Biomédicas, Universidad Nacional Autónoma de México, Mexico D.F. 04510, MexicoTheoretical Biology Group, Instituto de Investigaciones Biomédicas, Universidad Nacional Autónoma de México, Mexico D.F. 04510, MexicoIt has long been claimed that the mitochondrial genetic code possesses more symmetries than the Standard Genetic Code (SGC). To test this claim, the symmetrical structure of the SGC is compared with noncanonical genetic codes. We analyzed the symmetries of the graphs of codons and their respective phenotypic graph representation spanned by the RNY (R purines, Y pyrimidines, and N any of them) code, two RNA Extended codes, the SGC, as well as three different mitochondrial genetic codes from yeast, invertebrates, and vertebrates. The symmetry groups of the SGC and their corresponding phenotypic graphs of amino acids expose the evolvability of the SGC. Indeed, the analyzed mitochondrial genetic codes are more symmetrical than the SGC.http://www.mdpi.com/2073-8994/10/9/388standard genetic codemitochondrial codesphenotypic graphsgraph theorygroup theoryevolution
spellingShingle Marco V. José
Gabriel S. Zamudio
Symmetrical Properties of Graph Representations of Genetic Codes: From Genotype to Phenotype
Symmetry
standard genetic code
mitochondrial codes
phenotypic graphs
graph theory
group theory
evolution
title Symmetrical Properties of Graph Representations of Genetic Codes: From Genotype to Phenotype
title_full Symmetrical Properties of Graph Representations of Genetic Codes: From Genotype to Phenotype
title_fullStr Symmetrical Properties of Graph Representations of Genetic Codes: From Genotype to Phenotype
title_full_unstemmed Symmetrical Properties of Graph Representations of Genetic Codes: From Genotype to Phenotype
title_short Symmetrical Properties of Graph Representations of Genetic Codes: From Genotype to Phenotype
title_sort symmetrical properties of graph representations of genetic codes from genotype to phenotype
topic standard genetic code
mitochondrial codes
phenotypic graphs
graph theory
group theory
evolution
url http://www.mdpi.com/2073-8994/10/9/388
work_keys_str_mv AT marcovjose symmetricalpropertiesofgraphrepresentationsofgeneticcodesfromgenotypetophenotype
AT gabrielszamudio symmetricalpropertiesofgraphrepresentationsofgeneticcodesfromgenotypetophenotype