Abstract
The genetic code is the set of rules by which DNA stores genetic information of organisms. In this paper we discuss an algebraic structure of the genetic code in terms of the four DNA bases (A, C, G, T). Some relations between transition/transversion mutation of codons and algebraic properties of respective codons of the group structure are obtained. A distance matrix of the amino acids is constructed. We establish some relations between the distance matrix and physico-chemical properties of amino acids. Further we argue that the distance matrix reflects evolutionary pattern of amino acids.
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Ali, T., Phukan, C.K.: Topology in genetic code algebra. Math. Sci. Int. Res. J. 2(2), 179–182 (2013)
Antoneli, F., Braggion, L., Forger, M., Hornos, J.E.M.: Extending the search for symmetries in the genetic code. Int. J. Mod. Phys. B 17, 3135–3204 (2003)
Balakrishnan, J.: Symmetry scheme for amino acid codons. Phys. Rev. E 65, 021912–5 (2002)
Bashford, J.D., Jarvis, P.D.: The genetic code as a periodic table. Biosystems 57, 147–161 (2000)
Bashford, J.D., Tsohantjis, I., Jarvis, P.D.: A supersymmetric model for the evolution of the genetic code. Proc. Natl. Acad. Sci. USA 95, 987–992 (1998)
Beland, P., Allen, T.F.: The origin and evolution of the genetic code. J. Theor. Biol. 170, 359–365 (1994)
Gohain, N., Ali, T., Akhtar, A.: Lattice structure and distance matrix of genetic code. J. Biol. Sys. 23(3), 485–504 (2015)
Hornos, J.E.M., Hornos, Y.M.M.: Algebraic model for the evolution of the genetic code. Phys. Rev. Lett. 71(26), 4401–4404 (1993)
Lehmann, J.: Physico-chemical constraints connected with the coding properties of the genetic system. J. Theor. Biol. 202, 129144 (2000)
Robin, D., Knight, R.D., Freeland, S.J., Landweber, L.F.: Selection, history and chemistry: the three faces of the genetic code. Trends Biochem. Sci. 24, 241247 (1999)
Sanchez, R., Morgado, E., Grau, R.: The genetic code boolean lattice. MATCH Commun. Math. Comput. Chem. 52, 29–46 (2004)
Sanchez, R., Morgado, E., Grau, R.: A genetic code boolean structure. I. The meaning of boolean deductions. Bull. Math. Biol. 67, 1–14 (2005)
Sanchez, R., Perfetti, L.A., Morgado, E., Grau, R.: A new DNA sequences vector space on a genetic code galois field. MATCH Commun. Math. Comput. Chem. 54(1), 3–28 (2005)
Sanchez, R., Morgado, E., Grau, R.: Gene algebra from a genetic Code algebra structure. J. Math. Biol 51(431), 457 (2005)
Schuster, P., Fontana, W., Hofacker, I.L.: From sequences to shapes and back: a case study in RNA secondary structures. Proc. Biol. Sci. 255, 279–284 (1994)
Stadler, B., Stadler, P., Wagner, G., Fontana, W.: The topology of the possible: formal spaces underlying patterns of evolutionary change. J. Theor. Biol. 213, 241–274 (2001)
Watson, J.D., Crick, F.H.C.: A structure for deoxyribose nucleic acid. Nature 171(3), 737–738 (1953)
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Ali, T., Gohain, N. (2016). Some Algebraic Aspects and Evolution of Genetic Code. In: Cushing, J., Saleem, M., Srivastava, H., Khan, M., Merajuddin, M. (eds) Applied Analysis in Biological and Physical Sciences. Springer Proceedings in Mathematics & Statistics, vol 186. Springer, New Delhi. https://doi.org/10.1007/978-81-322-3640-5_12
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DOI: https://doi.org/10.1007/978-81-322-3640-5_12
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