Nucleotide frequencies in human genome and Fibonacci numbers.

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dc.contributorMICHEL EDUARDO BELEZA YAMAGISHI, CNPTIA; ALEX ITIRO SHIMABUKURO, PUC-Campinas.
dc.creatorYAMAGISHI, M. E. B.
dc.creatorSHIMABUKURO, A. I.
dc.date2011-04-10T11:11:11Z
dc.date2011-04-10T11:11:11Z
dc.date2007-12-10
dc.date2008
dc.date2017-05-11T11:11:11Z
dc.date.accessioned2026-07-07T04:15:04Z
dc.descriptionAbstract. 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.
dc.identifierBulletin of Mathematical Biology, v. 70, n. 3, p. 643-653, Apr. 2008.
dc.identifierhttp://www.alice.cnptia.embrapa.br/alice/handle/doc/1091
dc.identifier10.1007/s11538-007-9261-6
dc.identifier.urihttp://hdl.handle.net/123456789/455543
dc.languageeng
dc.rightsopenAccess
dc.subjectGenoma humano
dc.subjectNúmeros de Fibonacci
dc.subjectNucleotide frequencies
dc.subjectChargaff's parity rules
dc.subjectFibonacci numbers
dc.subjectOptimization problem
dc.subjectModelo matemático
dc.subjectMathematical models
dc.subjectSystem optimization
dc.subjectRepetitive sequences
dc.subjectNucleotides
dc.titleNucleotide frequencies in human genome and Fibonacci numbers.
dc.typeArtigo de periódico

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