Bifurcation Analysis for Phage Lambda with Binding Energy Uncertainty
Joint Authors
Xu, Ning
Ao, Ping
Lei, Xue
Zhang, Jun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In a phage λ genetic switch model, bistable dynamical behavior can be destroyed due to the bifurcation caused by inappropriately chosen model parameters.
Since the values of many parameters with biological significance often cannot be accurately acquired, it is thus of fundamental importance to analyze how and to which extent the system dynamics is influenced by model parameters, especially those parameters pertaining to binding energies.
In this paper, we apply a Jacobian method to investigate the relation between bifurcation and parameter uncertainties on a phage λ OR model.
By introducing bistable range as a measure of system robustness, we find that RNA polymerase binding energies have the minimum bistable ranges among all the binding energies, which implies that the uncertainties on these parameters tend to demolish the bistability more easily.
Moreover, parameters describing mutual prohibition between proteins Cro and CI have finite bistable ranges, whereas those describing self-prohibition have infinity bistable ranges.
Hence, the former are more sensitive to parameter uncertainties than the latter.
These results help to understand the influence of parameter uncertainties on the bifurcation and thus bistability.
American Psychological Association (APA)
Xu, Ning& Lei, Xue& Ao, Ping& Zhang, Jun. 2014. Bifurcation Analysis for Phage Lambda with Binding Energy Uncertainty. Computational Biology Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-473716
Modern Language Association (MLA)
Xu, Ning…[et al.]. Bifurcation Analysis for Phage Lambda with Binding Energy Uncertainty. Computational Biology Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-473716
American Medical Association (AMA)
Xu, Ning& Lei, Xue& Ao, Ping& Zhang, Jun. Bifurcation Analysis for Phage Lambda with Binding Energy Uncertainty. Computational Biology Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-473716
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473716