2008/03/06 by Sergey Petoukhov, Petoukhov, Sergey V. · 1 citation
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · #Advanced Scientific Research Methods #Chromosomal and Genetic Variations #FOS: Biological sciences #Fractal and DNA sequence analysis #Other Quantitative Biology (q-bio.OT) #RNA and protein synthesis mechanisms
paper · pdf · doi:10.48550/arxiv.0803.0888
openalex publication_date 2008/03/06 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
The Kronecker family of the genetic matrices is investigated, which is based\non the genetic matrix [C T; A G], where C, T, A, G are the letters of the\ngenetic alphabet. The matrix [C T; A G] in the second Kronecker power is the\n(4*4)-matrix of 16 duplets. The matrix [C T; A G] in the third Kronecker power\nis the (8*8)-matrix of 64 triplets. It is significant that peculiarities of the\ndegeneracy of the genetic code are reflected in the symmetrical black-and-white\nmosaic of these genetic matrices. The article represents interesting\nmathematical properties of these mosaic matrices, which are connected with\npositional permutations inside duplets and triplets; with projector operators;\nwith unitary matrices and cyclic groups, etc. Fractal genetic nets are proposed\nas a new effective tool to study long nucleotide sequences. Some results about\nrevealing new symmetry principles of long nucleotide sequences are described.\n