Exploring Synthetic Mass Action Models

2015 ◽  
pp. 97-110
Author(s):  
Oded Maler ◽  
Ádám M. Halász ◽  
Olivier Lebeltel ◽  
Ouri Maler
Keyword(s):  
Mass Action ◽  
Action Models

scholarly journals Mass action models of Falklands War battles

2016 ◽  
Vol 57 ◽  
pp. 235
Author(s):  
Brandon Malcolm Pincombe ◽  
Adrian Hall Pincombe
Keyword(s):  
Mass Action ◽  
Falklands War ◽  
Action Models

Estimating parameters for generalized mass action models using constraint propagation

2007 ◽  
Vol 208 (2) ◽  
pp. 607-620 ◽  
Author(s):  
Warwick Tucker ◽  
Zoltán Kutalik ◽  
Vincent Moulton
Keyword(s):  
Constraint Propagation ◽  
Mass Action ◽  
Action Models

scholarly journals Estimating parameters for generalized mass action models with connectivity information

2009 ◽  
Vol 10 (1) ◽  
pp. 140 ◽  
Author(s):  
Chih-Lung Ko ◽  
Eberhard O Voit ◽  
Feng-Sheng Wang
Keyword(s):  
Mass Action ◽  
Connectivity Information ◽  
Action Models

Graph-theoretic analysis of a model for the coupling between photosynthesis and photorespiration

2014 ◽  
Vol 92 (2) ◽  
pp. 85-93
Author(s):  
Md. Ruhul Amin ◽  
Marc R. Roussel
Keyword(s):  
Reaction Network ◽  
Mass Action ◽  
Graph Representation ◽  
Theoretic Analysis ◽  
Graph Theoretic ◽  
Two Delays ◽  
Hypothetical Mechanism ◽  
Action Models ◽  
Range Of Values ◽  
Rule Out

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.

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