Internal signal stochastic resonance of a two-component gene regulatory network under Lévy noise

Zhu, QH; Shen, JW; Ji, JC

Internal signal stochastic resonance of a two-component gene regulatory network under Lévy noise

Zhu, QH Shen, JW Ji, JC

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Publisher:: SPRINGER
Publication Type:: Journal Article
Citation:: Nonlinear Dynamics, 2020, 100, (1), pp. 863-876
Issue Date:: 2020-03-01

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Field	Value	Language
dc.contributor.author	Zhu, QH
dc.contributor.author	Shen, JW
dc.contributor.author	Ji, JC
dc.date.accessioned	2021-02-22T08:15:47Z
dc.date.available	2021-02-22T08:15:47Z
dc.date.issued	2020-03-01
dc.identifier.citation	Nonlinear Dynamics, 2020, 100, (1), pp. 863-876
dc.identifier.issn	0924-090X
dc.identifier.issn	1573-269X
dc.identifier.uri	http://hdl.handle.net/10453/146285
dc.description.abstract	© 2020, Springer Nature B.V. Noises are ubiquitous in nature and can often induce some curious phenomena. In this paper, we investigate the internal signal stochastic resonance (ISSR) phenomenon of a two-component gene regulatory network under the excitation of Lévy noise. Our results reveal that the Lévy noise can induce the periodic oscillation of the protein concentration when the control parameter is close to its bifurcation points. Furthermore, we consider the noise-induced periodic signal as the periodic excitation and study the ISSR phenomenon under the cooperation of the nonlinear system, noise-induced periodic signal and random noise. And we found that there may be a connection between the ISSR phenomenon and the bifurcation mechanism. Besides, we also investigate the effects of different noise parameters on the ISSR phenomenon. The simulation results indicate that there is an optimal interval of the stability index α which can induce the ISSR phenomenon, and the skewness parameter β has a negative correlation with the ISSR phenomenon. Our results may provide a pathway to uncover the positive functional mechanism of noises in complex gene regulatory networks.
dc.language	English
dc.publisher	SPRINGER
dc.relation.ispartof	Nonlinear Dynamics
dc.relation.isbasedon	10.1007/s11071-020-05489-7
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 09 Engineering
dc.subject.classification	Acoustics
dc.title	Internal signal stochastic resonance of a two-component gene regulatory network under Lévy noise
dc.type	Journal Article
utslib.citation.volume	100
utslib.for	01 Mathematical Sciences
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
dc.date.updated	2021-02-22T08:15:33Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	100
utslib.citation.issue	1

Abstract:

© 2020, Springer Nature B.V. Noises are ubiquitous in nature and can often induce some curious phenomena. In this paper, we investigate the internal signal stochastic resonance (ISSR) phenomenon of a two-component gene regulatory network under the excitation of Lévy noise. Our results reveal that the Lévy noise can induce the periodic oscillation of the protein concentration when the control parameter is close to its bifurcation points. Furthermore, we consider the noise-induced periodic signal as the periodic excitation and study the ISSR phenomenon under the cooperation of the nonlinear system, noise-induced periodic signal and random noise. And we found that there may be a connection between the ISSR phenomenon and the bifurcation mechanism. Besides, we also investigate the effects of different noise parameters on the ISSR phenomenon. The simulation results indicate that there is an optimal interval of the stability index α which can induce the ISSR phenomenon, and the skewness parameter β has a negative correlation with the ISSR phenomenon. Our results may provide a pathway to uncover the positive functional mechanism of noises in complex gene regulatory networks.

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http://hdl.handle.net/10453/146285