Analysis of a gene regulatory network model with time delay using the secant condition

Ahsen, M. E.Özbay, HitayNicolescu, Silviu-Iulian2019-01-282019-01-282016-10-042332-7685http://hdl.handle.net/11693/48412A 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.EnglishGene regulatory networks (GRNs)Local stabilityNegative feedbackSecant conditionTime delay systemsAnalysis of a gene regulatory network model with time delay using the secant conditionArticle10.1109/LLS.2016.2615091