@inbook{4b10dc41d0fa49088d3b1d856a1b0163,
title = "Stability and Robustness Analysis of a Class of Cyclic Biological Systems",
abstract = "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.",
author = "Ahsen, {Mehmet Eren} and Hitay {\"O}zbay and Silviu-iulian Niculescu",
year = "2017",
month = apr,
day = "1",
doi = "10.1007/978-3-319-53426-8_11",
language = "English (US)",
series = " Advances in Delays and Dynamics",
publisher = "Springer",
pages = "155--168",
editor = "Tam{\'a}s Insperger and Tulga Ersal and G{\'a}bor Orosz",
booktitle = "Time Delay Systems",
address = "Germany",
}