Unstable Modes and Order Parameters of Bistable Signaling Pathways at Saddle-Node Bifurcations: A Theoretical Study Based on Synergetics
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-31
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Mathematical modeling has become an indispensable part of systems biology which is a discipline that has become increasingly popular in recent years.
In this context, our understanding of bistable signaling pathways in terms of mathematical modeling is of particular importance because such bistable components perform crucial functions in living cells.
Bistable signaling pathways can act as switches or memory functions and can determine cell fate.
In the present study, properties of mathematical models of bistable signaling pathways are examined from the perspective of synergetics, a theory of self-organization and pattern formation founded by Hermann Haken.
At the heart of synergetics is the concept of so-called unstable modes or order parameters that determine the behavior of systems as a whole close to bifurcation points.
How to determine these order parameters for bistable signaling pathways at saddle-node bifurcation points is shown.
The procedure is outlined in general and an explicit example is worked out in detail.
American Psychological Association (APA)
Frank, Till D.. 2016. Unstable Modes and Order Parameters of Bistable Signaling Pathways at Saddle-Node Bifurcations: A Theoretical Study Based on Synergetics. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095925
Modern Language Association (MLA)
Frank, Till D.. Unstable Modes and Order Parameters of Bistable Signaling Pathways at Saddle-Node Bifurcations: A Theoretical Study Based on Synergetics. Advances in Mathematical Physics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1095925
American Medical Association (AMA)
Frank, Till D.. Unstable Modes and Order Parameters of Bistable Signaling Pathways at Saddle-Node Bifurcations: A Theoretical Study Based on Synergetics. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095925
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095925