dorsal/arxiv
View SchemaMutation model for nucleotide sequences based on crystal basis
| Authors | C. Minichini, A. Sciarrino |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0506010 |
| URL | https://arxiv.org/abs/q-bio/0506010 |
Abstract
A nucleotides sequence is identified, in the two (four) letters alphabet, by the the labels of a vector state of an irreducible representation of U_q(sl(2)) (U_q(sl(2) + sl(2))), in the limit q -> 0. A master equation for the distribution function is written, where the intensity of the one-spin flip is assumed to depend from the variation of the labels of the state. In the two letters approximation, the numerically computed equilibrium distribution for short sequences is nicely fitted by a Yule distribution, which is the observed distribution of the ranked short oligonucleotides frequency in DNA. The four letter alphabet description, applied to the codons, is able to reproduce the form of the fitted rank ordered usage frequencies distribution.
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"abstract": "A nucleotides sequence is identified, in the two (four) letters alphabet, by\nthe the labels of a vector state of an irreducible representation of U_q(sl(2))\n(U_q(sl(2) + sl(2))), in the limit q -\u003e 0. A master equation for the\ndistribution function is written, where the intensity of the one-spin flip is\nassumed to depend from the variation of the labels of the state. In the two\nletters approximation, the numerically computed equilibrium distribution for\nshort sequences is nicely fitted by a Yule distribution, which is the observed\ndistribution of the ranked short oligonucleotides frequency in DNA. The four\nletter alphabet description, applied to the codons, is able to reproduce the\nform of the fitted rank ordered usage frequencies distribution.",
"arxiv_id": "q-bio/0506010",
"authors": [
"C. Minichini",
"A. Sciarrino"
],
"categories": [
"q-bio.BM",
"q-bio.OT"
],
"title": "Mutation model for nucleotide sequences based on crystal basis",
"url": "https://arxiv.org/abs/q-bio/0506010"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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