Browsing by Subject "Hill functions"

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    Analysis of an extended gene regulatory network model with time delay
    (Institute of Applied Mathematics of Baku State University, 2023) Özturk, Dilan; Özbay, Hitay
    This paper is concerned with the analysis of an extended gene regulatory network model with time delayed negative feedback. An extended model amounts to considering the unmodeled dynamics in the earlier Gene regulatory network (GRN) designs. Stability analysis of the extended model is further investigated with different design parameters. A local stability condition is derived for a model of extended GRN with time delay. Several numerical examples are given to illustrate the stability characteristics of the delayed extended GRN model and the results are compared with the benchmark homogeneous gene regulatory network.
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    Stability analysis of a dynamical model representing gene regulatory networks
    (2012) Ahsen, M. E.; Özbay, Hitay; Niculescu, S. I.
    In this paper we perform stability analysis of a class of cyclic biological processes involving time delayed feedback. More precisely, we analyze the genetic regulatory network having nonlinearities with negative Schwarzian derivatives. We derive a set of conditions implying global stability of the genetic regulatory network under positive feedback. As a special case, we also consider homogenous genetic regulatory networks and obtain an appropriate stability condition which depends only on the parameters of the nonlinearity function. © 2012 IFAC.