On a Dynamical Model of Genetic Networks

WSEAS Transactions on Business and Economics 2023
Inna Samuilika, Felix Sadyrbaev

We consider the model of a four-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 the system undergoes if the entries of the regulatory matrix are perturbed in some way. The sensitive dependence of solutions on the initial data is revealed by the analysis using the Lyapunov exponents.

Keywords
nonlinear dynamical system, attractor, chaotic regime, Lyapunov exponents, Artificial Neural Networks
DOI
10.37394/23207.2023.20.11
Hyperlink
https://wseas.com/journals/bae/2023/a225107-002(2023).pdf

Samuilika, I., Sadyrbaev, F. On a Dynamical Model of Genetic Networks. WSEAS Transactions on Business and Economics, 2023, Vol. 20, No. 1, pp.104-112. ISSN 1109-9526. e-ISSN 2224-2899. Available from: doi:10.37394/23207.2023.20.11

Publication language
English (en)