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Wiley, International Journal of Robust and Nonlinear Control, 11(24), p. 1609-1627, 2013

DOI: 10.1002/rnc.2947

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On the analysis of a dynamical model representing gene regulatory networks under negative feedback

Journal article published in 2013 by M. E. Ahsen, H. Özbay, S.-‐.-I. Niculescu ORCID
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

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.