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Routes to Multiple Equilibria for Mass-Action Kinetic Systems
Joint Authors
Otero-Muras, Irene
Alonso, Antonio A.
Pájaro, Manuel
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this work we explore two potential mechanisms inducing multiple equilibria for weakly reversible networks with mass-action kinetics.
The study is performed on a class of polynomial dynamic systems that, under some mild assumptions, are able to accommodate in their state-space form weakly reversible mass-action kinetic networks.
The contribution is twofold.
We provide an explicit representation of the set of all positive equilibria attained by the system class in terms of a set of (positive parameter dependent) algebraic relations.
With this in hand, we prove that deficiency-one networks can only admit multiple equilibria via folding of the equilibrium manifold, whereas a bifurcation leading to multiple branches is only possible in networks with deficiencies larger than one.
Interestingly, some kinetic networks within this latter class are capable of sustaining multiple equilibria for any reaction simplex, as we illustrate with one example.
American Psychological Association (APA)
Alonso, Antonio A.& Otero-Muras, Irene& Pájaro, Manuel. 2018. Routes to Multiple Equilibria for Mass-Action Kinetic Systems. Complexity،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1133888
Modern Language Association (MLA)
Alonso, Antonio A.…[et al.]. Routes to Multiple Equilibria for Mass-Action Kinetic Systems. Complexity No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1133888
American Medical Association (AMA)
Alonso, Antonio A.& Otero-Muras, Irene& Pájaro, Manuel. Routes to Multiple Equilibria for Mass-Action Kinetic Systems. Complexity. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1133888
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133888