Dynamics of a miRNA model with two delays

S Nikolov, JV Gonzalez, M Nenov… - Biotechnology & …, 2012 - Taylor & Francis
MicroRNAs are a large class of post-transcriptional regulators of gene expression and they
have important regulatory functions in basic cellular processes. In this paper, mathematical …

Bifurcations and Dynamics of the Rb‐E2F Pathway Involving miR449

L Li, J Shen - Complexity, 2017 - Wiley Online Library
We focused on the gene regulative network involving Rb‐E2F pathway and microRNAs
(miR449) and studied the influence of time delay on the dynamical behaviors of Rb‐E2F …

Oscillatory dynamics in a gene regulatory network mediated by small RNA with time delay

H Liu, F Yan, Z Liu - Nonlinear Dynamics, 2014 - Springer
A genetic regulatory network mediated by small RNA with two time delays is investigated.
We show by mathematical analysis and simulation that time delays can provide a …

Oscillatory behaviors in genetic regulatory networks mediated by microRNA with time delays and reaction-diffusion terms

Y Zhang, H Liu, F Yan, J Zhou - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, we investigate the oscillatory expression in Escherichia coli mediated by
microRNA with time delays and reaction-diffusion terms. First of all, the integrated effects of …

Stability and bifurcation behaviour of genetic regulatory systems with two delays

S Nikolov - Comptes rendus de l'Academie bulgare des …, 2008 - proceedings.bas.bg
The interaction between DNA, RNA, proteins, and small molecules is achieved through
genetic regulatory systems. As most genetic regulatory networks of interest involve many …

Impacts of multiple time delays on a gene regulatory network mediated by small noncoding RNA

M Liu, F Meng, D Hu - International Journal of Bifurcation and Chaos, 2020 - World Scientific
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 …

Oscillatory expression in Escherichia coli mediated by microRNAs with transcriptional and translational time delays

Y Zhang, H Liu, J Zhou - IET Systems Biology, 2016 - Wiley Online Library
The primary objective of this study is to study oscillatory expression of gene regulatory
network in Escherichia coli mediated by microRNAs (sRNAs) with transcriptional and …

Bistability and delay-induced stability switches in a cancer network with the regulation of microRNA

Y Song, X Cao, T Zhang - … in Nonlinear Science and Numerical Simulation, 2018 - Elsevier
In this paper, we are concerned with a cancer network including a protein module and a
corresponding microRNA cluster that inhibits the synthesis of proteins. The existence of …

Deterministic and stochastic dynamics in a gene regulatory network mediated by miRNA

L Hao, Z Yang, Y Bi - Nonlinear Dynamics, 2021 - Springer
MicroRNAs are able to modulate gene expression at the posttranscriptional level and play
an essential role in various biological processes. In this paper, we establish a general model …

[HTML][HTML] Stability and bifurcation analysis of a gene expression model with small RNAs and mixed delays

F Qing, M Xiao, C Huang, G Jiang, J Qiu, J Lin… - Advances in Difference …, 2019 - Springer
This paper investigates a gene expression model, which is mediated by sRNAs (small
RNAs) and includes discrete and distributed delays. We take both the strong and weak …