scholarly journals Time delay effects on oscillation profiles in cyclic gene regulatory networks: Harmonic balance approach

2011 ◽  
Author(s):  
Yutaka Hori ◽  
Shinji Hara
Keyword(s):  
Time Delay ◽  
Gene Regulatory Networks ◽  
Harmonic Balance ◽  
Regulatory Networks ◽  
Balance Approach ◽  
Delay Effects ◽  
Cyclic Gene ◽  
Gene Regulatory

Global stability analysis of fractional-order gene regulatory networks with time delay

2019 ◽  
Vol 12 (06) ◽  
pp. 1950067 ◽  
Author(s):  
Zhaohua Wu ◽  
Zhiming Wang ◽  
Tiejun Zhou
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Gene Regulatory Networks ◽  
Existence And Uniqueness ◽  
Regulatory Networks ◽  
Lyapunov Method ◽  
Regulation Mechanism ◽  
Global Stability Analysis ◽  
Gene Regulatory ◽  
The Stability

Fractional-order gene regulatory networks with time delay (DFGRNs) have proven that they are more suitable to model gene regulation mechanism than integer-order. In this paper, a novel DFGRN is proposed. The existence and uniqueness of the equilibrium point for the DFGRN are proved under certain conditions. On this basis, the conditions on the global asymptotic stability are established by using the Lyapunov method and comparison theorem for the DFGRN, and the stability conditions are dependent on the fractional-order [Formula: see text]. Finally, numerical simulations show that the obtained results are reasonable.

scholarly journals Using GeneReg to construct time delay gene regulatory networks

2010 ◽  
Vol 3 (1) ◽  
Author(s):  
Tao Huang ◽  
Lei Liu ◽  
Ziliang Qian ◽  
Kang Tu ◽  
Yixue Li ◽  
...  
Keyword(s):  
Time Delay ◽  
Gene Regulatory Networks ◽  
Regulatory Networks ◽  
Gene Regulatory

scholarly journals A comparative analysis of synthetic genetic oscillators

2010 ◽  
Vol 7 (52) ◽  
pp. 1503-1524 ◽  
Author(s):  
Oliver Purcell ◽  
Nigel J. Savery ◽  
Claire S. Grierson ◽  
Mario di Bernardo
Keyword(s):  
Experimental Data ◽  
Comparative Analysis ◽  
Time Delay ◽  
Synthetic Biology ◽  
Gene Regulatory Networks ◽  
Network Topology ◽  
Regulatory Networks ◽  
State Of The Art ◽  
Gene Regulatory ◽  
Future Work

Synthetic biology is a rapidly expanding discipline at the interface between engineering and biology. Much research in this area has focused on gene regulatory networks that function as biological switches and oscillators. Here we review the state of the art in the design and construction of oscillators, comparing the features of each of the main networks published to date, the models used for in silico design and validation and, where available, relevant experimental data. Trends are apparent in the ways that network topology constrains oscillator characteristics and dynamics. Also, noise and time delay within the network can both have constructive and destructive roles in generating oscillations, and stochastic coherence is commonplace. This review can be used to inform future work to design and implement new types of synthetic oscillators or to incorporate existing oscillators into new designs.

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