Wavelet Algorithms for DNA Analysis

Uncertainty and Symmetries in DNA Sequences

“…However, this value can be also seen for dog's and candida DNA [12,13,47] for the complete sequence (coding and noncoding regions), even if, by including the noncoding regions, this value is a little bit higher being 0.65 for the dog's, and 0.62 for the candida's DNA respectively.…”

“…For the numerical representation, and signal analysis methods, there have been many different approaches [2][3][4][5]7,[11][12][13][14][15]20,22,[24][25][26][27][28][38][39][40][41]43,46,47] some of them also by trying to avoid redundancy (see e.g. [42]).…”

“…The matrix can be easily computed by some recursive product [12,13,46,47] so that with 4, 2, we have …”

“…Almost all these papers are aiming to visualize the existence of regular patterns in nucleotide distributions [1,4,6,7,9,12,13,[16][17][18][19][20][21][22][23]25,[29][30][31][32][35][36][37]41,42,[45][46][47][48][49] and the existence of long range correlation [2,3,5,8,10,11,14,15,[24][25][26][27][28]33,34,[38][39][40][41]43,44]. At the moment, we can assume that nu...…”

“…Some interesting attempts to add more information concerning the nucleotide distribution and the existence of patterns were given by the wavelet analysis of DNA (see e.g. [1,3,4,12,13,17,[46][47][48][50][51][52][53]). In particular in [12,13,46,47,50,51] it has been shown that although the DNA sequence looks very similar to a random sequence the wavelet coefficients of the DNA walks are clearly distributed according to some rule while the random walks are not.…”