Selfcomplementary, selfreverse cyclic nucleotide sequences codonically invariant under frame shifting
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A cyclic nucleotide sequence is selfcomplementary if some circular permutation transfers it to a complementary sequence and (independently) is selfreverse if the cyclic order of nucleotides in both directions is the same. Moreover, it is codonically invariant under frame shifting if any shift of its frame does not alter the content and cyclic order of codons. We discuss sequences which may simultaneously have these three properties and exhibit color symmetry. Our considerations are also adapted for respective linear sequences.
KeywordsNucleotide sequence Frame shift Circular permutation Complementary strands Selfcomplementary nucleotide sequence Selfreverse nucleotide sequence Nucleotide sequence codonically invariant under frame shifting Color symmetry
We thank Prof. Yannis Almirantis (Athens, Greece) for his bibliographic assistance. The support of the Welch Foundation of Houston, Texas (via grant BD–0894) is acknowledged.
- 1.V.R. Rosenfeld, D.J. Klein, Cyclic nucleotide sequences codonically invariant under frame shifting. Studia Univ. Babes-Bolyai Chemia 55(4), 177–182 (2010). (Texts are available from the authors!)Google Scholar
- 2.V.R. Rosenfeld, D.J. Klein, Implications of sense/antisense nucleic-acid codons on amino-acid counts. Studia Univ. Babes-Bolyai Chemia 55(4), 167–176 (2010)Google Scholar
- 7.V.R. Rosenfeld, Using semigroups in modeling of genomic sequences. MATCH Commun. Math. Comput. Chem. 56(2), 281–290 (2006)Google Scholar
- 8.V. R. Rosenfeld, Equivalent genomic (proteomic) sequences and semigroups. J. Theor. Chem. (submitted)Google Scholar
- 9.A.V. Shubnikov, N.V. Belov, W.T.E. Holser, Color Symmetry (Pergamon Press, Oxford, 1964)Google Scholar