Principles of genetic circuit design
JAN Brophy, CA Voigt - Nature methods, 2014 - nature.com
Cells navigate environments, communicate and build complex patterns by initiating gene
expression in response to specific signals. Engineers seek to harness this capability to …
expression in response to specific signals. Engineers seek to harness this capability to …
Hybrid control on bifurcation for a delayed fractional gene regulatory network
A novel delayed fractional-order gene regulatory network model is proposed in this paper.
Firstly, the sum of delays is chosen as the bifurcation parameter, the conditions of the …
Firstly, the sum of delays is chosen as the bifurcation parameter, the conditions of the …
Kinetic models of gene expression including non-coding RNAs
VP Zhdanov - Physics Reports, 2011 - Elsevier
In cells, genes are transcribed into mRNAs, and the latter are translated into proteins. Due to
the feedbacks between these processes, the kinetics of gene expression may be complex …
the feedbacks between these processes, the kinetics of gene expression may be complex …
Hopf bifurcation analysis of a delayed fractional-order genetic regulatory network model
In this paper, we propose a novel fractional-order two-gene regulatory network model with
delays, which can describe the memory and hereditary properties of genetic regulatory …
delays, which can describe the memory and hereditary properties of genetic regulatory …
Bifurcation and oscillatory dynamics of delayed cyclic gene networks including small RNAs
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 …
(sRNAs) play a vital role in gene regulation processes. Thus, the gene regulation process is …
Bifurcation analysis of a mathematical model for genetic regulatory network with time delays
H Zang, T Zhang, Y Zhang - Applied Mathematics and Computation, 2015 - Elsevier
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 …
time-delayed version of the model proposed by Elowitz and Leibler [Nature 403 (2000) 335 …
Stability analysis and bifurcation control of a delayed incommensurate fractional-order gene regulatory network
F Liu, T Dong, ZH Guan, HO Wang - International Journal of …, 2020 - World Scientific
In this paper, stability analysis and bifurcation control for a novel incommensurate fractional-
order delayed gene regulatory network are investigated. Firstly, the associated characteristic …
order delayed gene regulatory network are investigated. Firstly, the associated characteristic …
[HTML][HTML] Bifurcation control of a novel fractional-order gene regulatory network with incommensurate order and time delay
Y Gao, N Li - Results in Physics, 2023 - Elsevier
Gene regulatory networks play an extremely important role in human life activities. This
paper presents a novel fractional-order gene regulatory network model (NFGRNM). The …
paper presents a novel fractional-order gene regulatory network model (NFGRNM). The …
Synchronization of fractional-order gene regulatory networks mediated by miRNA with time delays and unknown parameters
YAN Hongyun, Q Yuanhua, D Lijuan, M Jun - Journal of the Franklin …, 2022 - Elsevier
To investigate the regulatory function of miRNA on gene expression at the post-
transcriptional level, the synchronization of fractional-order gene regulatory networks …
transcriptional level, the synchronization of fractional-order gene regulatory networks …
Stability and bifurcation analysis of arbitrarily high-dimensional genetic regulatory networks with hub structure and bidirectional coupling
This paper mainly studies the stability and Hopf bifurcation criteria of hub-based genetic
regulatory networks with multiple delays and bidirectional couplings. The hub-structured …
regulatory networks with multiple delays and bidirectional couplings. The hub-structured …