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- Title
Graph-theoretic analysis of a model for the coupling between photosynthesis and photorespiration.
- Authors
Amin, Md. Ruhul; Roussel, Marc R.
- Abstract
We develop and analyze a mathematical model based on a previously enunciated hypothesis regarding the origin of rapid, irregular oscillations observed in photosynthetic variables when a leaf is transferred to a low-CO2 atmosphere. This model takes the form of a set of differential equations with two delays. We review graph-theoretical methods of analysis based on the bipartite graph representation of mass-action models, including models with delays. We illustrate the use of these methods by showing that our model is capable of delay-induced oscillations. We present some numerical examples confirming this possibility, including the possibility of complex transient oscillations. We then use the structure of the identified oscillophore, the part of the reaction network responsible for the oscillations, along with our knowledge of the plausible range of values for one of the delays, to rule out this hypothetical mechanism.
- Subjects
GRAPH theory; PHOTOSYNTHESIS; PLANT photorespiration; ATMOSPHERIC carbon dioxide; MATHEMATICAL models; DIFFERENTIAL equations
- Publication
Canadian Journal of Chemistry, 2014, Vol 92, Issue 2, p85
- ISSN
0008-4042
- Publication type
Article
- DOI
10.1139/cjc-2013-0315