Volpert Graph

In reaction network theory, the Volpert graph plays a very important role. As an abstract idea of reaction kinetics, it is a directed bipartite graph. The vertex set contains the chemical components and the reaction steps, which are the two disjoint classes of the graph. There is an edge between a component and a reaction if and only if the reactant complex contains the component; otherwise, there is an edge between a reaction and a component if and only if the product complex contains the component.

(45 lines omitted)

The Volpert graph of the formal reaction mechanism is the following directed bipartite graph: , where the vertex set is the set , and iff , and iff , where and . There is no directed edge inside nor .
For more information about the formal reaction mechanism see the "Descriptive Reaction Kinetics" Demonstration.
P. Érdi and J. Tóth, Mathematical Models of Chemical Reactions: Theory and Applications of Deterministic and Stochastic Models, Manchester: Manchester University Press, 1989.
comments
 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »

Note: To run this Demonstration you need the free
Mathematica Player
or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+