dorsal/arxiv
View SchemaNucleotide Frequencies in Human Genome and Fibonacci Numbers
| Authors | Michel E. Beleza Yamagishi, Alex Itiro Shimabukuro |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0611041 |
| URL | https://arxiv.org/abs/q-bio/0611041 |
| DOI | 10.1007/s11538-007-9261-6 |
| Journal | Bulletin of Mathematical Biology, 70, 643-653,2008 |
Abstract
This work presents a mathematical model that establishes an interesting connection between nucleotide frequencies in human single-stranded DNA and the famous Fibonacci's numbers. The model relies on two assumptions. First, Chargaff's second parity rule should be valid, and, second, the nucleotide frequencies should approach limit values when the number of bases is sufficiently large. Under these two hypotheses, it is possible to predict the human nucleotide frequencies with accuracy. It is noteworthy, that the predicted values are solutions of an optimization problem, which is commonplace in many nature's phenomena.
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"abstract": "This work presents a mathematical model that establishes an interesting\nconnection between nucleotide frequencies in human single-stranded DNA and the\nfamous Fibonacci\u0027s numbers. The model relies on two assumptions. First,\nChargaff\u0027s second parity rule should be valid, and, second, the nucleotide\nfrequencies should approach limit values when the number of bases is\nsufficiently large. Under these two hypotheses, it is possible to predict the\nhuman nucleotide frequencies with accuracy. It is noteworthy, that the\npredicted values are solutions of an optimization problem, which is commonplace\nin many nature\u0027s phenomena.",
"arxiv_id": "q-bio/0611041",
"authors": [
"Michel E. Beleza Yamagishi",
"Alex Itiro Shimabukuro"
],
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"q-bio.OT"
],
"doi": "10.1007/s11538-007-9261-6",
"journal_ref": "Bulletin of Mathematical Biology, 70, 643-653,2008",
"title": "Nucleotide Frequencies in Human Genome and Fibonacci Numbers",
"url": "https://arxiv.org/abs/q-bio/0611041"
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