Quasi-Periodic Solutions for a Three-Dimensional System in Gene Regulatory Network

WSEAS Transactions on Systems 2023
Olga Kozlovska, Inna Samuilika

This work introduces a three-dimensional system with quasi-periodic solutions for special values of parameters. The equations model the interactions between genes and their products. In gene regulatory networks, quasi-periodic solutions refer to a specific type of temporal behavior observed in the system. We show the dynamics of Lyapunov exponents. Visualizations are provided. It is important to note that the study of gene regulatory networks is a complex interdisciplinary field that combines biology, mathematics, and computer science.

Keywords
gene regulatory network, Lyapunov exponents, quasi-periodic solution, nullclines, critical points
DOI
10.37394/23202.2023.22.73
Hyperlink
https://wseas.com/journals/systems/2023/b485102-046(2023).pdf

Kozlovska, O., Samuilika, I. Quasi-Periodic Solutions for a Three-Dimensional System in Gene Regulatory Network. WSEAS Transactions on Systems, 2023, Vol. 22, No. 73, pp.727-733. ISSN 1109-2777. Available from: doi:10.37394/23202.2023.22.73

Publication language
English (en)