On the analysis of a dynamical model representing gene regulatory networks under negative feedback |
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| Authors: | ME Ahsen H Özbay S‐I Niculescu |
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| Affiliation: | 1. Department of Bioengineering, University of Texas at Dallas, , Richardson, TX 75080‐3021, USA;2. Department of Electrical and Electronics Engineering, Bilkent University, , Ankara TR‐06800, Turkey;3. Laboratoire des Signaux et Systèmes (UMR CNRS 8506) CNRS‐SUPELEC, , 91192, Gif‐sur‐Yvette, France |
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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.Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | gene regulatory networks Schwarzian derivatives asymptotic stability hill functions time delay |
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