On Modelling of Genetic Regulatory Net Works

Author:

Sadyrbaev Felix1,Samuilik Inna1,Sengileyev Valentin1

Affiliation:

1. Department of Natural Sciences and Mathematics Daugavpils University Parades street 1, LATVIA

Abstract

We consider 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 a current state of a network for a given value of time t: Evolution of a network and future states depend heavily on attractors of system of ODE. We discuss this issue for low dimensional networks and show how the results can be applied for the study of large size networks. Examples and visualizations are provided

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Electrical and Electronic Engineering

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. COMPARATIVE ANALYSIS OF MODELS OF GENETIC AND NEURONAL NETWORKS;Mathematical Modelling and Analysis;2024-03-26

2. On attractors in dynamical systems modeling genetic networks;Advances in the Theory of Nonlinear Analysis and its Application;2023-07-23

3. On Targeted Control over Trajectories of Dynamical Systems Arising in Models of Complex Networks;Mathematics;2023-05-08

4. Biooscillators in Models of Genetic Networks;Springer Proceedings in Mathematics & Statistics;2023

5. Mathematical Modeling of Four-dimensional Genetic Regulatory Networks Using a Logistic Function;WSEAS TRANSACTIONS ON COMPUTER RESEARCH;2022-12-20

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