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Registro Completo |
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Biblioteca(s): |
Embrapa Agricultura Digital. |
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Data corrente: |
10/12/2007 |
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Data da última atualização: |
11/05/2017 |
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Tipo da produção científica: |
Artigo em Periódico Indexado |
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Autoria: |
YAMAGISHI, M. E. B.; SHIMABUKURO, A. I. |
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Afiliação: |
MICHEL EDUARDO BELEZA YAMAGISHI, CNPTIA; ALEX ITIRO SHIMABUKURO, PUC-Campinas. |
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Título: |
Nucleotide frequencies in human genome and Fibonacci numbers. |
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Ano de publicação: |
2008 |
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Fonte/Imprenta: |
Bulletin of Mathematical Biology, v. 70, n. 3, p. 643-653, Apr. 2008. |
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DOI: |
10.1007/s11538-007-9261-6 |
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Idioma: |
Inglês |
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Conteúdo: |
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. This result may be used as evidence to the Fibonacci string model that was proposed to the sequence growth of DNA repetitive sequences. It is noteworthy that the predicted values are solutions of an optimization problem, which is commonplace in many of nature's phenomena. |
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Palavras-Chave: |
Chargaff's parity rules; Fibonacci numbers; Genoma humano; Nucleotide frequencies; Números de Fibonacci; Optimization problem. |
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Thesagro: |
Modelo matemático. |
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Thesaurus Nal: |
Mathematical models; Nucleotides; Repetitive sequences; System optimization. |
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Categoria do assunto: |
X Pesquisa, Tecnologia e Engenharia |
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URL: |
https://ainfo.cnptia.embrapa.br/digital/bitstream/item/159709/1/AP-Nucleotide-Yamagishi-2008.pdf
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Marc: |
LEADER 01625naa a2200277 a 4500
001 1001091
005 2017-05-11
008 2008 bl uuuu u00u1 u #d
024 7 $a10.1007/s11538-007-9261-6$2DOI
100 1 $aYAMAGISHI, M. E. B.
245 $aNucleotide frequencies in human genome and Fibonacci numbers.$h[electronic resource]
260 $c2008
520 $aAbstract. 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. This result may be used as evidence to the Fibonacci string model that was proposed to the sequence growth of DNA repetitive sequences. It is noteworthy that the predicted values are solutions of an optimization problem, which is commonplace in many of nature's phenomena.
650 $aMathematical models
650 $aNucleotides
650 $aRepetitive sequences
650 $aSystem optimization
650 $aModelo matemático
653 $aChargaff's parity rules
653 $aFibonacci numbers
653 $aGenoma humano
653 $aNucleotide frequencies
653 $aNúmeros de Fibonacci
653 $aOptimization problem
700 1 $aSHIMABUKURO, A. I.
773 $tBulletin of Mathematical Biology$gv. 70, n. 3, p. 643-653, Apr. 2008.
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Embrapa Agricultura Digital (CNPTIA) |
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