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Zbl 1228.94032
Tenreiro Machado, J.A.; Costa, António C.; Dulce Quelhas, Maria
Entropy analysis of the DNA code dynamics in human chromosomes. (English)
[J] Comput. Math. Appl. 62, No. 3, 1612-1617 (2011). ISSN 0898-1221

Summary: Deoxyribonucleic acid, or DNA, is the most fundamental aspect of life but present day scientific knowledge has merely scratched the surface of the problem posed by its decoding. While experimental methods provide insightful clues, the adoption of analysis tools supported by the formalism of mathematics will lead to a systematic and solid build-up of knowledge. This paper studies human DNA from the perspective of system dynamics. By associating entropy and the Fourier transform, several global properties of the code are revealed. The fractional order characteristics emerge as a natural consequence of the information content. These properties constitute a small piece of scientific knowledge that will support further efforts towards the final aim of establishing a comprehensive theory of the phenomena involved in life.

MSC 2000:: *94B35 Decoding
92D20 Protein sequences, DNA sequences

Keywords: DNA; chromosome; fractional calculus; entropy; dynamics

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