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

Mehmet Eren Ahsen 1 Hitay Ozbay 2 Silviu-Iulian Niculescu 3, 4
1 University of Texas at Dallas - Department of Bioengineering [Dallas]
2 Bilkent University [Ankara]
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
4 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
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.
Keywords : Schwarzian derivatives gene regulatory networks asymptotic stability hill functions time delay
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Journal articles
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Submitted on : Thursday, January 23, 2014 - 2:45:55 PM
Last modification on : Tuesday, June 25, 2019 - 1:25:58 AM

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Mehmet Eren Ahsen, Hitay Ozbay, Silviu-Iulian Niculescu. On the analysis of a dynamical model representing gene regulatory networks under negative feedback. International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (11), pp.1609-1627. ⟨10.1002/rnc.2947⟩. ⟨hal-00935408⟩

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