Discrepance histogram. Histograms of δS = (S
, where S
are the estimates of the logarithm of the volume computed using respectively the program LRS , and our message-passing algorithm. The measurement if δS are taken over a set of 1000 random realizations of a N = 12 and M = 4 stoichiometric matrix where each of the metabolites participates to K = 3 different reactions. The four histograms represent the distribution of the experimental frequencies of the measured δS. Measurements were taken at different values of of the discretization parameter qmax = 16, 64, 256, 1024. For larger values of q the distributions of the measured δ
peak around zero.