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• W2509980111 abstract "Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear Research6, Joliot-Curie, Dubna, Moscow region, Russia, 141980During development of methods for stochastization of one-step processes the attention wasfocused on obtaining the stochastic equations in the form of the Langevin, since this form ofstochastic equations is most usual in the construction and study of one-step processes mod-els. When applying the method there is the problem of justifying the transition from masterequation 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 withthe help of perturbation theory in the framework of quantum field theory. For this pur-pose the methodology was described and the analytical software complex was constructedto write down put the main kinetic equation in the operator form in the Fock representa-tion. To solve the resulting equation the software complex generates Feynman diagrams forthe corresponding order of perturbation theory. The FORM system was applied as a sys-tem of symbolic computation. Selecting FORM as the CAS is reasonable because that thegiven computer algebra system allows for symbolic computation, using the resources of high-performance computing. In particular, it is possible to use parallel computing technologiessuch as OpenMP and MPI.Key words and phrases: algebraic biology, stochastic differential equations; masterequation; Fokker–Planck equation; population models; computer algebra software; FORMsystem." @default.
• W2509980111 created "2016-09-16" @default.
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• W2509980111 date "2015-01-01" @default.
• W2509980111 modified "2023-09-26" @default.
• W2509980111 title "Quantum field Theory approach to the analysis of one-step models" @default.
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• W2509980111 hasPublicationYear "2015" @default.
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