Bifurcations and Dynamics of the Rb-E2F Pathway Involving miR449
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-19
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We focused on the gene regulative network involving Rb-E2F pathway and microRNAs (miR449) and studied the influence of time delay on the dynamical behaviors of Rb-E2F pathway by using Hopf bifurcation theory.
It is shown that under certain assumptions the steady state of the delay model is asymptotically stable for all delay values; there is a critical value under another set of conditions; the steady state is stable when the time delay is less than the critical value, while the steady state is changed to be unstable when the time delay is greater than the critical value.
Thus, Hopf bifurcation appears at the steady state when the delay passes through the critical value.
Numerical simulations were presented to illustrate the theoretical results.
American Psychological Association (APA)
Li, Lingling& Shen, Jianwei. 2017. Bifurcations and Dynamics of the Rb-E2F Pathway Involving miR449. Complexity،Vol. 2017, no. 2017, pp.1-20.
https://search.emarefa.net/detail/BIM-1142535
Modern Language Association (MLA)
Li, Lingling& Shen, Jianwei. Bifurcations and Dynamics of the Rb-E2F Pathway Involving miR449. Complexity No. 2017 (2017), pp.1-20.
https://search.emarefa.net/detail/BIM-1142535
American Medical Association (AMA)
Li, Lingling& Shen, Jianwei. Bifurcations and Dynamics of the Rb-E2F Pathway Involving miR449. Complexity. 2017. Vol. 2017, no. 2017, pp.1-20.
https://search.emarefa.net/detail/BIM-1142535
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142535