Quasi-periodic Solutions for a Three-dimensional System in Gene Regulatory Network

Q3 Mathematics

WSEAS Transactions on Systems and Control Pub Date : 2023-10-09 DOI:10.37394/23202.2023.22.73

Olga Kozlovska, Inna Samuilik

引用次数: 0

Abstract

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.

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基因调控网络三维系统的拟周期解

本文介绍了具有特殊参数值的拟周期解的三维系统。这些方程模拟了基因和它们的产物之间的相互作用。在基因调控网络中，准周期解是指在系统中观察到的一种特定类型的时间行为。我们展示了李雅普诺夫指数的动力学。提供了可视化。值得注意的是，基因调控网络的研究是一个复杂的跨学科领域，它结合了生物学、数学和计算机科学。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

WSEAS Transactions on Systems and Control Mathematics-Control and Optimization

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.