Metrics and Harmonic Analysis on DNA
Abstract
A mathematical algorithm to describe DNA or RNA sequences of N nucleotides by a string of 2N integers numbers is presented in the framework of the so called crystal basis model of the genetic code. The description allows to define a not trivial distance between two sequences and to perform the Discrete Fourier Transform on a sequence. Using the definition of distance the sequence of β-globin for Homo, Gallus and Opossum are compared. The Discrete Fourier Transform for some simple examples is computed.
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