title: Quaternion representation of RNA sequences and tertiary structures.
abstract: A quaternion representation of nucleotides is proposed, with representation of RNA sequences by vectors whose elements are quaternions. Structure and transition matrices in quaternion representation are defined. Correspondence between diagrammatic technique in complex-number and quaternion representation of nucleotides is delineated.
authors.affiliation: Biomathematical Sciences Department, Mount Sinai School of Medicine, City University of New York, NY 10029.
authors.forename: Y
authors.initials: Y
authors.lastname: Magarshak
mesh_terms: D001483:Base Sequence; D004247:DNA / Q000737:chemistry; D008433:Mathematics; D008956:Models, Chemical; D009690:Nucleic Acid Conformation; D012313:RNA / Q000737:chemistry*; D012265:Ribonucleotides / Q000737:chemistry
chemical_list: D012265:Ribonucleotides; D012313:RNA; D004247:DNA