Title:	Nucleotide frequencies in human genome and Fibonacci numbers.
Authors:	YAMAGISHI, M. E. B. SHIMABUKURO, A. I.
Affiliation:	MICHEL EDUARDO BELEZA YAMAGISHI, CNPTIA; ALEX ITIRO SHIMABUKURO, PUC-Campinas.
Date Issued:	2008
Citation:	Bulletin of Mathematical Biology, v. 70, n. 3, p. 643-653, Apr. 2008.
Description:	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.
Thesagro:	Modelo matemático
NAL Thesaurus:	Mathematical models System optimization Repetitive sequences Nucleotides
Keywords:	Genoma humano Números de Fibonacci Nucleotide frequencies Chargaff's parity rules Fibonacci numbers Optimization problem
DOI:	10.1007/s11538-007-9261-6
Type of Material:	Artigo de periódico
Access:	openAccess
Appears in Collections:	Artigo em periódico indexado (CNPTIA)