Before revision:  In this paper the average dynamics  is introduced as an heuristic tool to construct models of reaction networks with their qualitative properties explored in terms of connectivity properties of the Interaction Graphs for the ODEs, the Markov chain and the resulting average dynamics.
After revision:  In this paper the average dynamics , which itself is introduced as an heuristic tool to construct models of reaction networks with their qualitative properties explored in terms of connectivity properties of the Interaction Graphs for the ODEs, the Markov chain and the resulting average dynamics.