Alternative solution of the simplest model of enzymatic synthesis of nucleic acids by homotopy perturbation method


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Abstract

Development of methods for obtaining approximate analytical solutions of nonlinear differential equations and their systems is a rapidly developing field of mathematical physics. Earlier, an approximate solution of the simplest system of kinetic enzymatic equations for calculating dynamics of complementary strands of nucleic acids was obtained. In this study, we consider an alternative approach to selecting the basic linear approximation of the used method, which makes it possible to obtain more accurate analytical solutions of the set problem.

About the authors

A. A. Fedorov

Institute for Analytical Instrumentation

Author for correspondence.
Email: faa@bk.ru
Russian Federation, ul. Ivana Chernykh 31–33A, St. Petersburg, 198095

A. S. Berdnikov

Institute for Analytical Instrumentation

Email: faa@bk.ru
Russian Federation, ul. Ivana Chernykh 31–33A, St. Petersburg, 198095

D. G. Sochivko

JSC Syntol

Email: faa@bk.ru
Russian Federation, Timiryazevskaya 42, Moscow, 127550

D. A. Varlamov

All-Russia Research Institute of Agricultural Biotechnology

Email: faa@bk.ru
Russian Federation, ul. Timiryazevskaya 42, Moscow, 127550

V. E. Kurochkin

Institute for Analytical Instrumentation

Email: faa@bk.ru
Russian Federation, ul. Ivana Chernykh 31–33A, St. Petersburg, 198095

R. V. Petrov

National Research Center, Institute of Immunology

Email: faa@bk.ru
Russian Federation, Kashirskoe sh. 24, Moscow, 115478

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