title: On a four-dimensional representation of DNA primary sequences.
abstract: We consider a four-dimensional representation of DNA primary sequences by assigning to each of the four basic amino acids A, T, G, C directions along the four orthogonal coordinate axes. Advantages and limitations of the novel representation of DNA primary sequences are discussed, and the use of the 4-D representation is illustrated by constructing novel sequence invariants. Comparisons with the similarity/dissimilarity results based on 2-D and 3-D representations for a set of eight short DNA sequences corresponding to the first exon of beta globin in eight species, including human, are considered to illustrate the use of our novel sequence invariants based on the entries in derived sequence matrices restricted to a selected width of a band along the main diagonal.
authors.affiliation: Department of Mathematics and Computer Science, Drake University, Des Moines, Iowa 53311, USA.
authors.forename: Milan
authors.initials: M
authors.lastname: Randić
authors.forename: Alexandru T
authors.initials: AT
authors.lastname: Balaban
mesh_terms: D000818:Animals; D001483:Base Sequence; D004247:DNA / Q000737:chemistry*; D016208:Databases, Factual; D005091:Exons; D005914:Globins / Q000235:genetics; D006801:Humans; D008969:Molecular Sequence Data; D012044:Regression Analysis; D017422:Sequence Analysis, DNA / Q000379:methods*; D012689:Sequence Homology, Nucleic Acid
chemical_list: D005914:Globins; D004247:DNA