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Attractor for a Reaction-Diffusion System Modeling Cancer Network
Joint Authors
Chen, Xueyong
Shen, Jianwei
Zhou, Hongxian
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A reaction-diffusion cancer network regulated by microRNA is considered in this paper.
We study the asymptotic behavior of solution and show the existence of global uniformly bounded solution to the system in a bounded domain Ω ⊂ R n .
Some estimates and asymptotic compactness of the solutions are proved.
As a result, we establish the existence of the global attractor in L 2 ( Ω ) × L 2 ( Ω ) and prove that the solution converges to stable steady states.
These results can help to understand the dynamical character of cancer network and propose a new insight to study the mechanism of cancer.
In the end, the numerical simulation shows that the analytical results agree with numerical simulation.
American Psychological Association (APA)
Chen, Xueyong& Shen, Jianwei& Zhou, Hongxian. 2014. Attractor for a Reaction-Diffusion System Modeling Cancer Network. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033754
Modern Language Association (MLA)
Chen, Xueyong…[et al.]. Attractor for a Reaction-Diffusion System Modeling Cancer Network. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1033754
American Medical Association (AMA)
Chen, Xueyong& Shen, Jianwei& Zhou, Hongxian. Attractor for a Reaction-Diffusion System Modeling Cancer Network. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033754
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033754