Premium
On the analysis of a dynamical model representing gene regulatory networks under negative feedback
Author(s) -
Ahsen M.E.,
Özbay H.,
Niculescu SI.
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2947
Subject(s) - stability (learning theory) , gene regulatory network , control theory (sociology) , nonlinear system , negative feedback , function (biology) , mathematics , dynamical systems theory , work (physics) , computer science , gene , topology (electrical circuits) , biology , control (management) , gene expression , physics , genetics , artificial intelligence , combinatorics , quantum mechanics , voltage , machine learning , thermodynamics
SUMMARY 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 homogenous 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 & Sons, Ltd.