Fractional order description of DNA. (English) Zbl 1443.92142
Summary: This study addresses the deoxyribonucleic acid (DNA) and proposes a procedure based on the association of statistics, information theory, signal processing, Fourier analysis and fractional calculus for describing fundamental characteristics of the DNA. In a first phase the 24 chromosomes of the Human are evaluated. In a second phase, 10 chromosomes for different species are also processed and the results compared. The results reveal invariance in the description and close resemblances with fractional Brownian motion.
MSC:
| 92D20 | Protein sequences, DNA sequences |
Keywords:
DNA; signal processing; Fourier analysis; information theory; fractional calculus; fractional Brownian motionSoftware:
GenocopReferences:
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