Stoichiometric analysis of biochemical systems on graphs. II. Graph images of conservation relationships

Application of the graphical rules of finding of conservation relationships of kinetic equations of biochemical systems is considered. Simple hypothetic reactions were used for examples. It is shown that use of the properties of a connected directed bipartite graph for a complex reaction/metabolic network allows to reveal the substances connected by the conservation relationships and to formulate graph criteria of their existence. It is shown for open biochemical systems that graph images of conservation relationships are subgraphs of a determinate kind. These subgraphs are either simple cycles and/or complex cycles (circuit closed subgraphs), or cycles connected by bridges.