Analysis of the Properties of the Genetic Code by Mathematical Simulation

Mathematical Models and Computer Simulations - Tập 13 - Trang 445-452 - 2021
N. N. Kozlov1, E. I. Kugushev2, T. M. Eneev1
1Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
2Moscow State University, Moscow, Russia

Tóm tắt

We consider random changes in the standard genetic code, in which its structure is preserved, and small variations in the genetic code, in which the structure is preserved or changed. The assumption is substantiated that the standard genetic code provides the best possible overlap of genes. The structure and content of the standard genetic code is determined by the condition of the maximum total number of allowed substitutions that open closed reading frames, and the minimum closed reading frames for which there is no such substitution. The estimated probability of randomly choosing the standard genetic code in terms of this criterion, depending on the model of the numerical experiment, has an order of 10−3 to 10−6.

Tài liệu tham khảo

N. Kozlov, Genetic Code: A View of a Mathematician (Palmarium Academic, Saarbrucken, 2014) [in Russian]. N. N. Kozlov and T. M. Eneev, “Fundamentals of a mathematical theory of genetic codes,” Dokl. Math. 95 (2), 144–146 (2017). N. N. Kozlov, E. I. Kugushev, and T. M. Eneev, “Genetic code potential for overlaps of six and three genes,” Dokl. Math. 95 (2), 161–163 (2017). D. L. Nelson and M. M. Cox, Lehninger Principles of Biochemistry, 5th ed. (Freeman, New York, 2008). N. N. Kozlov, E. I. Kugushev, and T. M. Eneev, “Numerical characteristics of the genetic code for the possibility of overlapping genes,” Dokl. Math. 98 (2), 439–443 (2018). N. N. Kozlov, “On the arbitrariness in the “choice” of the genetic code,” Dokl. Biophys. 367–369, 112–114 (1999). B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts, and P. Walter, Molecular Biology of the Cell, 4th ed. (Garland Science, New York, 2002).