dorsal/arxiv
View SchemaAbelian Finite Group of DNA Genomic Sequences
| Authors | Robersy Sanchez, Jesus Barreto, Eberto Morgado, Ricardo Grau |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0512042 |
| URL | https://arxiv.org/abs/q-bio/0512042 |
Abstract
The Z_64-algebra of the genetic code and DNA sequences of length N was recently stated. In order to beat the limits of this structure such as the impossibility of non-coding region analysis in genomes and the impossibility of the insertions and deletions analysis (indel mutations), we have develop a cycle group structure over the of extended base triplets of DNA X_1X_2X_3, X_i belong to {O, A, C, G, U}, where the letter O denote the base omission (deletion) in the codon. The obtained group is isomorphic to the abelian 5-group Z_125 of integer module 125. Next, it is defined the abelian finite group S over a set of DNA alignment sequences of length N. The group S could be represented as the direct sum of homocyclic groups: 2-group and 5-group. In particular, DNA subsequences without indel mutation could be considered building block of genes represented by homocyclic 2-groups (described in the previous Z_64-algebra). While those DNA subsequences affected by indel mutations are described by means of homocyclic 5-groups. This representation suggests identify genome block structures by way of a regular grammar capable of recognize it. In addition, this novel structure allows us a general analysis of the mutational pathways follow by genes and isofunctional genome regions by means of the automorphism group on S.
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"abstract": "The Z_64-algebra of the genetic code and DNA sequences of length N was\nrecently stated. In order to beat the limits of this structure such as the\nimpossibility of non-coding region analysis in genomes and the impossibility of\nthe insertions and deletions analysis (indel mutations), we have develop a\ncycle group structure over the of extended base triplets of DNA X_1X_2X_3, X_i\nbelong to {O, A, C, G, U}, where the letter O denote the base omission\n(deletion) in the codon. The obtained group is isomorphic to the abelian\n5-group Z_125 of integer module 125. Next, it is defined the abelian finite\ngroup S over a set of DNA alignment sequences of length N. The group S could be\nrepresented as the direct sum of homocyclic groups: 2-group and 5-group. In\nparticular, DNA subsequences without indel mutation could be considered\nbuilding block of genes represented by homocyclic 2-groups (described in the\nprevious Z_64-algebra). While those DNA subsequences affected by indel\nmutations are described by means of homocyclic 5-groups. This representation\nsuggests identify genome block structures by way of a regular grammar capable\nof recognize it. In addition, this novel structure allows us a general analysis\nof the mutational pathways follow by genes and isofunctional genome regions by\nmeans of the automorphism group on S.",
"arxiv_id": "q-bio/0512042",
"authors": [
"Robersy Sanchez",
"Jesus Barreto",
"Eberto Morgado",
"Ricardo Grau"
],
"categories": [
"q-bio.QM",
"q-bio.GN"
],
"title": "Abelian Finite Group of DNA Genomic Sequences",
"url": "https://arxiv.org/abs/q-bio/0512042"
},
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