Analysis of an extended gene regulatory network model with time delay

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Bilkent-research-paper.pdf (117.1 KB)

Date

2023

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Source Title

Applied and Computational Mathematics

Print ISSN

1683-3511

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Publisher

Institute of Applied Mathematics of Baku State University

Volume

22

Issue

2

Pages

225 - 245

Language

en_US

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Article

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Abstract

This paper is concerned with the analysis of an extended gene regulatory network model with time delayed negative feedback. An extended model amounts to considering the unmodeled dynamics in the earlier Gene regulatory network (GRN) designs. Stability analysis of the extended model is further investigated with different design parameters. A local stability condition is derived for a model of extended GRN with time delay. Several numerical examples are given to illustrate the stability characteristics of the delayed extended GRN model and the results are compared with the benchmark homogeneous gene regulatory network.

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Keywords

Gene regulatory networks (GRNs), Hill functions, Local stability, Nonlinear time delay networks, Time delay systems

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https://hdl.handle.net/11693/114940

Published Version (Please cite this version)

https://dx.doi.org/10.30546/1683-6154.22.2.2023.225

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Scholarly Publications - Electrical and Electronics Engineering