Alternative solution of the simplest model of enzymatic synthesis of nucleic acids by homotopy perturbation method
- Authors: Fedorov A.A.1, Berdnikov A.S.1, Sochivko D.G.2, Varlamov D.A.3, Kurochkin V.E.1, Petrov R.V.4
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Affiliations:
- Institute for Analytical Instrumentation
- JSC Syntol
- All-Russia Research Institute of Agricultural Biotechnology
- National Research Center, Institute of Immunology
- Issue: Vol 471, No 1 (2016)
- Pages: 396-398
- Section: Biochemistry, Biophysics, and Molecular Biology
- URL: https://journal-vniispk.ru/1607-6729/article/view/211709
- DOI: https://doi.org/10.1134/S1607672916060028
- ID: 211709
Cite item
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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