Singular perturbation analysis and gene regulatory networks with delay
type: Item
instance of: scholarly article
title: Singular perturbation analysis and gene regulatory networks with delay
zbMATH Open document ID: 1202.34136
author: Irina Shlykova
author: Arcady Ponosov
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-03-29T00:00:00Z
review text: The authors discuss gene regulatory networks with delay. They study how the dynamics of smooth gene networks is related to the simplified dynamics of Boolean networks. The approach is to use Tikhonov's theory of singular perturbed differential equations and a modified algorithm of reducing delay equations to ordinary differential equations. A number of examples is offered to illustrate different kinds of dynamics of game networks.
reviewed by: Rong Yuan
Mathematics Subject Classification ID: 34K26
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 5687539
zbMATH Keywords: gene regulation
zbMATH Keywords: delay equations
zbMATH Keywords: singular perturbation analysis
MaRDI profile type: Publication
full work available at URL: j.na.2010.01.016
OpenAlex ID: W2023727229
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DOI: 10.1016/J.NA.2010.01.016
description: scientific article; zbMATH DE number 5687539