Stability and Robustness Analysis of a Class of Cyclic Biological Systems

Mehmet Eren Ahsen, Hitay Özbay, Silviu-iulian Niculescu

Research output: Chapter in Book/Report/Conference proceedingChapter


In the first part of this chapter, we do a local stability and robustness analysis of a model of cyclic biological network representing GRNs (Gene Regulatory Networks) under positive feedback. We present conditions leading to bistable behavior. In the second part, we analyze the GRN under negative feedback. Our analysis depends on an extension of the so-called secant condition, which gives a local stability condition. We deduce conditions leading to global stability of the network.
Original languageEnglish (US)
Title of host publicationTime Delay Systems
Subtitle of host publicationTheory, Numerics, Applications, and Experiments
EditorsTamás Insperger, Tulga Ersal, Gábor Orosz
StatePublished - Apr 1 2017
Externally publishedYes

Publication series

Name Advances in Delays and Dynamics
ISSN (Print)2197-117X
ISSN (Electronic)2197-1161


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