Interprets omics lists in the context of metabolic pathway and regulatory networks using a statistical model for flow within the networks. Pathway Flow allows to visualized statistical results for all response groups in plots. The statistical tests are based on the Erlang distribution model under the assumption of independent and identically Exponential-distributed random walk flows through pathways. As a proof of concept, this method was applied to an Escherichia coli transcriptomics dataset where it was confirmed common knowledge of the E.coli transcriptional response to Lipid A deprivation. The main response is related to osmotic stress, and it detects novel responses that are supported by the literature. This method was also applied to an Arabidopsis thaliana expression dataset from an abscisic acid study. In both cases, conventional pathway enrichment tests detected nothing, while this approach discovered biological processes beyond the original studies.