Example of a shortest path in a metabolic reaction network and a metabolic correlation network. The transformation of glucose to glucose-6-phosphate in glycolysis is represented by one connection in the pathway network. In this example of a sparsely connected but non-fragmented correlation network (parameter constellation: sampling point 0.5 h light, ω = 8 and κ = 0.85) the shortest path between this pair of metabolites consists of 5 links (numbers next to the links denote the individual correlation strength of the involved metabolite pairs; here, the correlation strength between glucose and glucose-6-phosphate is 0.13.). The deviation of path lengths shown in this example just demonstrates the possible structural differences within these networks.
Müller-Linow et al. BMC Systems Biology 2007 1:44 doi:10.1186/1752-0509-1-44