A system involving interlinked positive and negative feedback loops is a flexible motif that
can tune itself in gene regulatory networks. It is well known that time delay is inevitable in …

This paper studies the stability and bifurcation of three cases of bidirectional gene regulatory
networks with negative feedback loops and time delays. The uniqueness of the positive …

In this paper, we aim to investigate the dynamics of a gene regulatory network which is a
time-delayed version of the model proposed by Elowitz and Leibler [Nature 403 (2000) 335 …

It has been demonstrated in a large number of experimental results that small RNAs
(sRNAs) play a vital role in gene regulation processes. Thus, the gene regulation process is …

The infinite dimensional partial delay differential equation is set forth and delay difference
state feedback control is considered to describe the cell cycle growth in eukaryotic cell …

To understand how a gene regulatory network functioning as an oscillator is built, a genetic
regulatory network with two transcriptional delays is investigated. We show by mathematical …

In this paper, the impacts of multiple time delays on a gene regulatory network mediated by
small noncoding RNA is studied. By analyzing the associated characteristic equation of the …

Time delays play important roles in genetic regulatory networks. In this paper, a gene
regulatory network model with time delays and mutual inhibition is considered, where time …

In this paper, a genetic regulatory network with two time delays is considered. Firstly, the
stabilities with one delay and two delays are investigated. It is shown that the stability …

A delayed gene regulatory network model with positive and negative feedbacks is
considered. We investigate the stability of the positive equilibrium and the existence of Hopf …