Volpert Graph of Chemical Reactions

In reaction network theory, the Volpert graph is a directed bipartite graph whose vertex sets are the chemical species and the reaction steps. There is an edge from a species to a reaction step if and only if the reactant complex of the reaction step contains the species, and there is an edge from a reaction step to a species if and only if the product complex of the reaction step contains the species. The Volpert graph turns out to be very important in theory and it corresponds to the definition of the graphs used by biochemists.

(164 lines omitted)

The Volpert graph of the formal reaction mechanism is the directed bipartite graph: , where the vertex set is the set , and , iff , and , iff , where and . There is no directed edge either inside or inside .
The Demonstration can also be used to analyze any other type of reaction. 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, Princeton: Princeton University Press, 1989.
 
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+