Open AccessModelling Three Dimensional Gene Regulatory Networks
Author(s) -
Inna Samuilik,
Felix Sadyrbaev
Publication year - 2021
Publication title -
wseas transactions on systems and control/wseas transactions on systems and control
Language(s) - English
Resource type - Journals
eISSN - 2224-2856
pISSN - 1991-8763
DOI - 10.37394/23203.2021.16.67
Subject(s) - gene regulatory network , ordinary differential equation , function (biology) , nonlinear system , sigmoid function , vector valued function , mathematics , matrix (chemical analysis) , gene , differential equation , computer science , mathematical analysis , physics , biology , genetics , gene expression , artificial neural network , artificial intelligence , materials science , composite material , quantum mechanics
We consider the three-dimensional gene regulatory network (GRN in short). This model consists of ordinary differential equations of a special kind, where the nonlinearity is represented by a sigmoidal function and the linear part is present also. The evolution of GRN is described by the solution vector X(t), depending on time. We describe the changes that system undergoes if the entries of the regulatory matrix are perturbed in some way.