title: Alternative solution of the simplest model of enzymatic synthesis of nucleic acids by homotopy perturbation method.
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.
authors.affiliation: Institute for Analytical Instrumentation, Russian Academy of Sciences, ul. Ivana Chernykh 31-33A, St. Petersburg, 198095, Russia. faa@bk.ru.
authors.forename: A A
authors.initials: AA
authors.lastname: Fedorov
authors.affiliation: Institute for Analytical Instrumentation, Russian Academy of Sciences, ul. Ivana Chernykh 31-33A, St. Petersburg, 198095, Russia.
authors.forename: A S
authors.initials: AS
authors.lastname: Berdnikov
authors.affiliation: JSC Syntol, Timiryazevskaya 42, Moscow, 127550, Russia.
authors.forename: D G
authors.initials: DG
authors.lastname: Sochivko
authors.affiliation: All-Russia Research Institute of Agricultural Biotechnology, ul. Timiryazevskaya 42, Moscow, 127550, Russia.
authors.forename: D A
authors.initials: DA
authors.lastname: Varlamov
authors.affiliation: Institute for Analytical Instrumentation, Russian Academy of Sciences, ul. Ivana Chernykh 31-33A, St. Petersburg, 198095, Russia.
authors.forename: V E
authors.initials: VE
authors.lastname: Kurochkin
authors.affiliation: National Research Center, Institute of Immunology, Federal Biomedical Agency, Kashirskoe sh. 24, Moscow, 115478, Russia.
authors.forename: R V
authors.initials: RV
authors.lastname: Petrov
mesh_terms: D000465:Algorithms; D004798:Enzymes / Q000378:metabolism*; D007700:Kinetics; D016014:Linear Models; D008957:Models, Genetic; D008958:Models, Molecular; D009696:Nucleic Acids / Q000096:biosynthesis*; D016133:Polymerase Chain Reaction
chemical_list: D004798:Enzymes; D009696:Nucleic Acids