Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8603Research ArticleQuantum Field Theory Approach to the Analysis of One-Step ModelsEferinaE GDepartment of Applied Probability and Informatics-KorolkovaA VDepartment of Applied Probability and Informatics-KulyabovD SDepartment of Applied Probability and Informatics; Laboratory of Information Technologies Joint Institute for Nuclear Research Joliot-Curie, 6, Dubna, Moscow region, Russia, 141980-SevastyanovL ADepartment of Applied Probability and Informatics; Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear Research Joliot-Curie, 6, Dubna, Moscow region, Russia, 141980-Peoples’ Friendship University of Russia150320153304008092016Copyright © 2015,2015During development of methods for stochastization of one-step processes the attention was focused on obtaining the stochastic equations in the form of the Langevin, since this form of stochastic equations is most usual in the construction and study of one-step processes models. When applying the method there is the problem of justifying the transition from master equation to the Fokker-Planck equation for the diﬀerent versions of the model. However, the forms of partial diﬀerential equations (master equation and the Fokker-Planck equation) wider description of the model to researchers. It is proposed to treat these equations with the help of perturbation theory in the framework of quantum ﬁeld theory. For this purpose the methodology was described and the analytical software complex was constructed to write down put the main kinetic equation in the operator form in the Fock representation. To solve the resulting equation the software complex generates Feynman diagrams for the corresponding order of perturbation theory. The FORM system was applied as a system of symbolic computation. Selecting FORM as the CAS is reasonable because that the given computer algebra system allows for symbolic computation, using the resources of high-performance computing. In particular, it is possible to use parallel computing technologies such as OpenMP and MPI.algebraic biologymaster equationFokker-Planck equationpopulation modelscomputer algebra softwareFORM systemstochastic differential equationsсимвольные методы в биологииосновное кинетическое уравненияуравнение Фоккера-Планкапопуляционные моделисистемы компьютерной алгебрысистема FORMстохастические дифференциальные уравнения