2015
DOI: 10.3390/sym7031211
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The Graph, Geometry and Symmetries of the Genetic Code with Hamming Metric

Abstract: Abstract:The similarity patterns of the genetic code result from similar codons encoding similar messages. We develop a new mathematical model to analyze these patterns. The physicochemical characteristics of amino acids objectively quantify their differences and similarities; the Hamming metric does the same for the 64 codons of the codon set. (Hamming distances equal the number of different codon positions: AAA and AAC are at 1-distance; codons are maximally at 3-distance.) The CodonPolytope, a 9-dimensional… Show more

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Cited by 4 publications
(2 citation statements)
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References 65 publications
(179 reference statements)
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“…At the same time, three amino acids may turn out to be an information codon in DNA or RHA, e.g., AAA, AGA, and GGG are codons [49]. Therefore, considering triplets of amino acids as carriers of some topological symmetry may be a useful marker in the study of peptides, at least in the QSPR/QSAR aspects [49].…”
Section: Discussionmentioning
confidence: 99%
“…At the same time, three amino acids may turn out to be an information codon in DNA or RHA, e.g., AAA, AGA, and GGG are codons [49]. Therefore, considering triplets of amino acids as carriers of some topological symmetry may be a useful marker in the study of peptides, at least in the QSPR/QSAR aspects [49].…”
Section: Discussionmentioning
confidence: 99%
“…But this demonstrates the evolutionary opportunity available for amino acids like valine and aspartic acid. A thorough mathematical framework for a gradual, symmetry-breaking pathway to get from a restricted code to the present-day genetic code can be found in [ 21 , 22 ]. It is important to realize that as soon as tRNA genes had come into existence, a process of coevolution between the tRNA genes and the mRNA genes started.…”
Section: The Origin Of the Feedback Loopmentioning
confidence: 99%