WSEAS Transactions on Circuits and Systems
Print ISSN: 1109-2734, E-ISSN: 2224-266X
Volume 24, 2025
Networks with Periodic Interactions
Authors: ,
Abstract: We consider a mathematical model of genetic regulatory networks (GRN). This model consists of a nonlinear system of ordinary differential equations. The vector of solutions X(t) is interpreted as the current state of a network for a given value of time t. The evolution of a network and future states depend heavily on the attractors of a system of ODE. We discuss this issue for low-dimensional networks and show how the results can be applied to the study of large-size networks. Examples and visualizations are provided. The remarkable feature of our research is that the interactions in a network are supposed to be variable. We focus on the interaction of variable activation-inhibition cycles.
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Keywords: Mathematical modeling, gene regulatory networks, differential equations, attractors, phase space, variable regulatory matrix
Pages: 51-58
DOI: 10.37394/23201.2025.24.6