dorsal/arxiv
View SchemaMutation model for oligonucleotides fitting a Yule distribution
| Authors | C. Minichini, A. Sciarrino |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0412006 |
| URL | https://arxiv.org/abs/q-bio/0412006 |
Abstract
A spin chain, describing a nucleotides sequence, is identified by the labels of a vector state of an irreducible representation of U_q->0(sl2). A master equation for the distribution function is written, where the intensity of the one-spin flip is assumed to depend on the variation of the labels. The numerically computed equilibrium distribution is nicely fitted by a Yule distribution, which is the observed distribution of the ranked short oligonucleotides frequency in DNA
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"date_created": "2026-03-02T18:01:31.930000Z",
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"abstract": "A spin chain, describing a nucleotides sequence, is identified by the labels\nof a vector state of an irreducible representation of U_q-\u003e0(sl2). A master\nequation for the distribution function is written, where the intensity of the\none-spin flip is assumed to depend on the variation of the labels. The\nnumerically computed equilibrium distribution is nicely fitted by a Yule\ndistribution, which is the observed distribution of the ranked short\noligonucleotides frequency in DNA",
"arxiv_id": "q-bio/0412006",
"authors": [
"C. Minichini",
"A. Sciarrino"
],
"categories": [
"q-bio.BM",
"cond-mat.other",
"q-bio.OT"
],
"title": "Mutation model for oligonucleotides fitting a Yule distribution",
"url": "https://arxiv.org/abs/q-bio/0412006"
},
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"type": "Model",
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"version": "0.1.0"
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