title: Principal component analysis and large-scale correlations in non-coding sequences of human DNA.
abstract: We have calculated a full set of second-order correlation functions of nucleotides in noncoding DNA. They are found to be independently invariant in regard to permutations of A and T, and also C and G. Considering correlation functions as a 4 x 4 matrix with a symmetrical basis, we have found the principal components-objects with zero cross-correlations. These three principal components are present the base compositions: (A + T - C - G), (A - T), (C - G). The long-range behavior of these principal components yields power-law dependencies with different critical exponents.
authors.affiliation: Human Genome Center Informatics Group, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.
authors.forename: M
authors.initials: M
authors.lastname: Teitelman
authors.forename: F H
authors.initials: FH
authors.lastname: Eeckman
mesh_terms: D001482:Base Composition / Q000235:genetics*; D001483:Base Sequence; D004247:DNA / Q000737:chemistry / Q000235:genetics*; D003854:Deoxyribonucleotides / Q000235:genetics; D006801:Humans
chemical_list: D003854:Deoxyribonucleotides; D004247:DNA