01625naa a2200277 a 450000100080000000500110000800800410001902400350006010000240009524500890011926000090020852007750021765000240099265000160101665000250103265000240105765000230108165300280110465300220113265300180115465300270117265300260119965300250122570000230125077300740127310010912017-05-11       2008    bl uuuu     u00u1 u    #d7 a10.1007/s11538-007-9261-62DOI1 aYAMAGISHI, M. E. B.  aNucleotide frequencies in human genome and Fibonacci numbers.h[electronic resource]  c2008  aAbstract. 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.  aMathematical models  aNucleotides  aRepetitive sequences  aSystem optimization  aModelo matemático  aChargaff's parity rules  aFibonacci numbers  aGenoma humano  aNucleotide frequencies  aNúmeros de Fibonacci  aOptimization problem1 aSHIMABUKURO, A. I.  tBulletin of Mathematical Biologygv. 70, n. 3, p. 643-653, Apr. 2008.