The relationship between nonlinear systems of delay differential equations and high-dimensional ODE systems in mathematical models of gene networks

O. F. Voropaeva

Federal Research Center for Information and Computational Technologies, Novosibirsk, Russian Federation

Abstract: We studied the relationship between a nonlinear system of delay differential equations and a specific type of ordinary differential equation system using models of the p53–microRNA network. We also explored potential practical applications of this relationship.

Keywords: the p53–microRNA network, ODE system, system of delay differential equations, passage to the limit.