Studying genetic code by a matrix approach.
Following Petoukhov and his collaborators, we use two length n zero-one sequences, alpha and beta, to represent a length n genetic sequence (alpha/beta) so that the columns of (alpha/beta) have the following correspondence with the nucleotides: C ~ (0/0), U ~ (1/0), G ~ (1/1), A ~ (0/1). Using the Gray code ordering to arrange alpha and beta, we build a 2(n) x 2(n) matrix C(n) including all the 4(n) length n genetic sequences. Furthermore, we use the Hamming distance of alpha and beta to construct a 2(n) x 2(n) matrix D(n). We explore structures of these matrices, refine the results in earlier papers, and propose new directions for further research.
Crowder
Tanner
T
Department of Mathematics, The College of William and Mary, Williamsburg, VA 23185, USA.
Li
Chi-Kwong
CK
D000595:Amino Acid Sequence; D001483:Base Sequence; D003062:Codon; D005815:Genetic Code; D008957:Models, Genetic
D003062:Codon