Solutions of weakly reversible chemical reaction networks are bounded and persistent
METADATA ONLY
Loading...
Author / Producer
Date
2010
Publication Type
Conference Paper
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We present extensions to chemical reaction network theory which are relevant to the analysis of models of biochemical systems. We show that, for positive initial conditions, solutions of a weakly reversible chemical reaction network are bounded and remain in the positive orthant. Thus, weak reversibility implies persistence as conjectured by Martin Feinberg. Our result provides a qualitative criterion to establish that a biochemical network will not diverge or converge to the boundary, where some concentration levels are zero. It relies on checking structural properties of the graph of the reaction network solely. It can also be used to characterise certain bifurcations from stationary to oscillatory behaviour. We illustrate the use of our result through applications.
Permanent link
Publication status
published
Book title
11th International Symposium on Computer Applications in Biotechnology, CAB 2010. Proceedings
Journal / series
Volume
43 (6)
Pages / Article No.
42 - 47
Publisher
Elsevier
Event
11th IFAC Symposium on Computer Applications in Biotechnology (CAB 2010)
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Networks; Dynamics; Nonlinear systems; Attractors; Oscillators; Biotechnology
Organisational unit
03659 - Buhmann, Joachim M. (emeritus) / Buhmann, Joachim M. (emeritus)