On the analysis of a dynamical model representing gene regulatory networks under negative feedback. (13th January 2013)

• Record Type: Journal Article
• Authors: Ahsen, M.E.; Özbay, H.; Niculescu, S‐I.
• Is Part Of: International journal of robust and nonlinear control. Volume 24:Number 11(2014)
• Page Start: 1609
• Page End: 1627
• Publication Date: 2013-01-13
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.2947
• Languages: English
• ISSNs: 1049-8923

Abstract

<abstract abstract-type="main" id="rnc2947-abs-0001"> <title>SUMMARY</title> <p>In this work, stability analysis is performed for a cyclic dynamical model of gene regulatory networks involving time delays, under negative feedback. The model considered has nonlinearities with negative Schwarzian derivatives. Sufficient conditions implying global stability of these types of GRNs are obtained. The special case of <italic>homogenous</italic> gene regulatory networks is also studied; in this case, the proposed stability conditions depend only on the parameters of the nonlinearity function. Illustrative numerical examples complete the presentation.Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>