Stability and Hopf Bifurcation Analysis in a Delayed Myc/E2F/miR‐17‐92 Network Involving Interlinked Positive and Negative Feedback Loops

G Wang, Z Yang - Discrete Dynamics in Nature and Society, 2018 - Wiley Online Library
MiR‐17‐92 plays an important role in regulating the levels of the Myc/E2F protein. In this
paper, we consider a coupling network between Myc/E2F/miR‐17‐92 delayed negative …

Novel extended mixed controller design for bifurcation control of fractional‐order Myc/E2F/miR‐17‐92 network model concerning delay

P Li, X Peng, C Xu, L Han, S Shi - Mathematical Methods in the …, 2023 - Wiley Online Library
MiR‐17‐92 has a vital effect on the adjustment of the Myc/E2F protein in chemistry. In this
work, we propose a novel fractional‐order delayed Myc/E2F/miR‐17‐92 network model that …

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 …

Stability and Hopf bifurcation analysis in a delayed three-node circuit involving interlinked positive and negative feedback loops

G Wang, Z Yang, M Turcotte - Mathematical Biosciences, 2019 - Elsevier
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 …

Stability and bifurcation analysis of a diffusive miR-9/Hes1 network with time delay

C Li, H Liu, T Zhang, Y Zhang - IEEE/ACM Transactions on …, 2021 - ieeexplore.ieee.org
In this paper, a model of miR-9/Hes1 interaction network involving one time delay and
diffusion effect under the Neumann boundary conditions is studied. First of all, the stability of …

Stability and bifurcation of delayed gene regulatory network with self-feedback, positive feedback and negative feedback

LAI Qiang, C Qian - 2018 37th Chinese Control Conference …, 2018 - ieeexplore.ieee.org
This letter investigates the stability and bifurcation of delayed gene regulatory network with
self-feedback, positive feedback and negative feedback. The stability condition of the …

Theoretical study on the oscillation mechanism of p53-Mdm2 network

C Wang, F Yan, H Liu, Y Zhang - International Journal of …, 2018 - World Scientific
In this paper, a delayed mathematical model was developed based on experimental data to
understand how the time delays required for transcription and translation in Mdm2 gene …

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 …

Bifurcations and dynamics of cancer signaling network regulated by microRNA

Q Zheng, J Shen - Discrete Dynamics in Nature and Society, 2013 - Wiley Online Library
MicroRNAs are currently considered as key regulators of a wide variety of biological
pathways and regulate many processes of life and obtained more and more attention in …

[HTML][HTML] Hopf Bifurcation of a Gene-Protein Network Module with Reaction Diffusion and Delay Effects

SM Ma - International Journal of Modern Nonlinear Theory and …, 2021 - scirp.org
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 …