Stability analysis of a dynamical model representing gene regulatory networks

Files

Stability analysis of a dynamical model representing gene regulatory networks.pdf (236.31 KB)

Date

2012

Authors

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

BUIR Usage Stats
2
views
36
downloads

Citation Stats

  • Share

Series

Abstract

In this paper we perform stability analysis of a class of cyclic biological processes involving time delayed feedback. More precisely, we analyze the genetic regulatory network having nonlinearities with negative Schwarzian derivatives. We derive a set of conditions implying global stability of the genetic regulatory network under positive feedback. As a special case, we also consider homogenous genetic regulatory networks and obtain an appropriate stability condition which depends only on the parameters of the nonlinearity function. © 2012 IFAC.

Source Title

International Federation of Automatic Control IFAC Proceedings Volumes

Publisher

Course

Other identifiers

Book Title

Keywords

Asymptotic stability, Gene regulatory networks, Hill functions, Nonlinear time delay networks, Schwarzian derivatives, Biological process, Dynamical model, Gene regulatory networks, Genetic regulatory networks, Global stability, Hill function, Nonlinear time delays, Nonlinearity function, Schwarzian derivative, Stability analysis, Stability condition, Time-delayed feedback, Asymptotic stability, Genes, Time delay

Degree Discipline

Degree Level

Degree Name

Citation

Permalink

http://hdl.handle.net/11693/28165

Published Version (Please cite this version)

https://doi.org/10.3182/20120622-3-US-4021.00020

Collections

Scholarly Publications - Electrical and Electronics Engineering

Language

English

Type

Conference Paper