Related matrices of DNA primary sequences based on triplets of nucleic acid bases |
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| Affiliation: | 1. Department of Environmental Science, Hubei Key Lab of Biomass Resource and Environmental Biotechnology, School of Resource and Environmental Science, Wuhan University, Wuhan 430079, China;2. Department of Plastic Surgery, Tangdu Hospital, Fourth Military Medical University, Xi’an 710038, China;3. College of Food Science and Technology, Huazhong Agricultural University, No. 1 Shizishan Road, Wuhan 430070, China;4. School of Chemistry and Chemical Engineering, Guangxi University, Nanning 530004, China;5. State Key Laboratory of Virology, Wuhan Institute of Virology, Chinese Academy of Sciences, Wuhan 430071, China;1. Instituto de Química, Universidade Federal do Rio Grande do Norte, Campus Universitário, Lagoa Nova, Natal, RN 59078-970, Brazil;2. Universidade Federal Rural do Semi-Árido, Campus Caraúbas/Apodi, RN 233, Km 1, Sítio Nova Esperança II, Caraúbas, RN 59780-000, Brazil;3. Departamento de Engenharia Química, Universidade Federal do Rio Grande do Norte, Campus Universitário, Lagoa Nova, Natal, RN 59078-970, Brazil;1. Laboratoire de Physique de la Matière Condensée, CNRST (URAC10), Université Hassan II-Mohammedia, Faculté des Sciences Ben M’sik, B.P. 7955, Casablanca, Morocco;2. Dipartimento di Fisica dell’Università di Genova and IMEM/CNR, via Dodecaneso 33, 16146 Genova, Italy;3. Hassan II Academy of Sciences and Technology, Morocco;1. Department of Chemistry, Tokyo Metropolitan University, Hachioji 192-0397, Japan;2. Department of Chemistry, Kindai University, Kowakae 3-4-1, Higashi-Osaka 577-8502, Japan;1. School of Materials Science and Engineering, State Key Laboratory of Silicon Materials, Zhejiang University, Hangzhou 310027, China;2. The First Affiliated Hospital of Medical College, Zhejiang University, Hangzhou 310003, China |
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| Abstract: | We considered constructing three 8-component vectors for a DNA primary sequence using triplets of nucleic acid bases. For two DNA sequences, using the corresponding vectors, we constructed a set of 3 × 3 matrices called the related matrix. The normalized leading eigenvalues from the constructed matrices were selected as invariants to characterize the degree of similarity between the two DNA sequences. Construction of similarity/dissimilarity tables based on this invariant for sequences of DNA of the first exon of the β-globin gene from 11 species illustrates the utility of the newly formulated matrices for DNA. |
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