Bulletin of Mathematical Biology

, Volume 70, Issue 3, pp 643–653

Nucleotide Frequencies in Human Genome and Fibonacci Numbers

Authors

    • Embrapa InformáticaLaboratório de Bioinformática Aplicada
    • Centro Universitário Salesiano de São Paulo—UNISALCurso de Ciência da Computacão
  • Alex Itiro Shimabukuro
    • PUC Campinas—CEATEC
Original Article

DOI: 10.1007/s11538-007-9261-6

Cite this article as:
Yamagishi, M.E.B. & Shimabukuro, A.I. Bull. Math. Biol. (2008) 70: 643. doi:10.1007/s11538-007-9261-6

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.

Keywords

Chargaff’s parity rulesNucleotide frequenciesFibonacci numbersGolden ratioRepetitive sequencesOptimization problem
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Copyright information

© Society for Mathematical Biology 2007