Browsing by Subject "Gene regulatory networks (GRNs)"

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    Analysis of a gene regulatory network model with time delay using the secant condition
    (IEEE, 2016-10-04) Ahsen, M. E.; Özbay, Hitay; Nicolescu, Silviu-Iulian
    A cyclic model for gene regulatory networks with time delayed negative feedback is analyzed using an extension of the so-called secant condition, which is originally developed for systems without time delays. It is shown that suf cient conditions obtained earlier for delay-independent local stability can be further improved for homogenous networks to obtain delay-dependent necessary and suf cient conditions, which are expressed in terms of the parameters of the Hill-type nonlinearity.
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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.