Nucleotide Frequencies in Human Genome and Fibonacci Numbers

Details Nucleotide Frequencies in Human Genome and Fibonacci Numbers Nucleotide Frequencies in Human Genome and Fibonacci Numbers

2006-11-13

arxiv.org/abs/q-bio/0611041v1

Bulletin of Mathematical Biology, 70, 643-653,2008

Biology

Quantitative Biology

Other Quantitative Biology

12 pages, 2 figures

Scientific paper

10.1007/s11538-007-9261-6

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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