Synchronization of fractional-order gene regulatory networks mediated by miRNA with time delays and unknown parameters

Yan, Hongyun; Qiao, Yuanhua; Duan, Lijuan; Miao, Jun

doi:10.1016/j.jfranklin.2022.01.028

Cited by 8 publications

(2 citation statements)

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“…In recent years, great achievements have been conducted to establish fractional models of gene regulatory networks with time delay [35,36,37]. There are many valuable studies in gene regulatory networks.…”

Section: Introductionmentioning

confidence: 99%

“…Ren et al [36] analyzed the Mittag-Leffler stability of fractiona-order gene regulatory networks by using the fractional Lyapunov method. Yan et al [37] studied the effect of miRN A and time delay on the synchronization of fractional-order genetic regulatory networks. However, most of the researche still stays in the single delay fractional order model.…”

Section: Introductionmentioning

confidence: 99%

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Stability and Hopf Bifurcation Analysis of a Fractional-order p53 Multiple Time Delays Model under PDα control

wang

yang

2023

Preprint

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This paper focuses on the analysis of multiple types of time delays and fractional-order proportional-derivative (PDα) controller on the dynamics of fractional-order p53 model. The multiple types of time delay schemes are dexterously designed during the bifurcation control for the proposed system, and the comparative study is elaborately performed on bifurcation control theoretically. Analysis reveals that the negative feedback delay restrains the delay threshold, while the positive feedback delay promotes the delay threshold and makes the system more robust. System dynamics is affected by fractional order, which is more conducive to the generation of system oscillations. We have adapted control system techniques and designed a PDα controller. This controller is used to activate p53 protein. Numerical results display that the addition of PDα controller can increase the richness of the dynamic system. The differential gain parameter kd of PDα controller promotes the appearance of oscillation, and the proportional gain parameter kp will hinder the appearance of oscillation. The PD controller is a good strategy to control the oscillation behaviors of the system.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%