Nucleotide Frequencies in Human Genome and Fibonacci Numbers
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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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- Nucleotide Frequencies in Human Genome and Fibonacci Numbers
Bulletin of Mathematical Biology
Volume 70, Issue 3 , pp 643-653
- Cover Date
- Print ISSN
- Online ISSN
- Additional Links
- Chargaff’s parity rules
- Nucleotide frequencies
- Fibonacci numbers
- Golden ratio
- Repetitive sequences
- Optimization problem
- Industry Sectors
- Author Affiliations
- 1. Embrapa Informática, Laboratório de Bioinformática Aplicada, Av. Andre Tosello, 209, Campinas, SP, Brazil
- 2. Centro Universitário Salesiano de São Paulo—UNISAL, Curso de Ciência da Computacão, Av. Almeida Garret, 267, Campinas, SP, Brazil
- 3. PUC Campinas—CEATEC, Rodovia D. Pedro I, km 136, Campinas, SP, Brazil