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. Author manuscript; available in PMC: 2015 Jul 1.
Published in final edited form as: J Math Biol. 2013 May 31;69(1):55–72. doi: 10.1007/s00285-013-0686-2

Figure 2.

Figure 2

Illustration of the reasoning for Theorem 3.8 on irreducibility. If the DRN is self-starting, by repeating the reactions, we eventually reach the LCN region from 0. In the same manner, if the DRN is self-stopping, we eventually reach 0 from a point in the LCN region. If the DRN is LCN irreducible, any point in the LCN region can be reached by any other point in the LCN region. Therefore, one can construct a path from 0 to each elementary vector, and vice-versa.