The EnvZ͞OmpR system in Escherichia coli, which regulates the expression of the porins OmpF and OmpC, is one of the simplest and best-characterized examples of two-component signaling. Like many other histidine kinases, EnvZ is bifunctional; it phosphorylates and dephosphorylates the response regulator OmpR. We have analyzed a mathematical model of the EnvZ-mediated cycle of OmpR phosphorylation and dephosphorylation. The model predicts that when EnvZ is much less abundant than OmpR, as is the case in E. coli, the steady-state level of phosphorylated OmpR (OmpR-P) is insensitive to variations in the concentration of EnvZ. The model also predicts that the level of OmpR-P is insensitive to variations in the concentration of OmpR when the OmpR concentration is sufficiently high. To test these predictions, we have perturbed the porin regulatory circuit in E. coli by varying the expression levels of EnvZ and OmpR. We have constructed two-color fluorescent reporter strains in which ompF and ompC transcription can be easily measured in the same culture. Using these strains we have shown that, consistent with the predictions of our model, the transcription of ompC and ompF is indeed robust or insensitive to a wide range of expression levels of both EnvZ and OmpR.A mong prokaryotes, a remarkable number of cellular functions are controlled by two-component regulatory systems. Dedicated circuits transduce and interpret specific signals such as pH, temperature, osmolarity, light, nutrients, ions, pheromones, and toxins to regulate a wide range of processes including motility, virulence, metabolism, the cell cycle, developmental switches, antibiotic resistance, and stress responses (for reviews see for example refs. 1-4). Most of the detailed features of these circuits are quite varied and depend on the particular signals that are detected and the responses that are effected. However, all twocomponent systems transmit information via phosphorylation of a histidine on one protein (a histidine kinase) followed by transfer of phosphate to an aspartic acid, which is usually on a distinct protein (a response regulator). A notable feature of many of these systems is that the histidine kinase is bifunctional: it phosphorylates and dephosphorylates its cognate response regulator. This feature raises the interesting question of what is gained by implementing a regulatory circuit in this manner. Would a circuit in which, for example, phosphorylation is controlled by the histidine kinase and dephosphorylation is caused by spontaneous hydrolysis or a separate phosphatase have important differences from a circuit in which both reactions are mediated by the same enzyme?A particularly well-characterized example of a bifunctional histidine kinase is EnvZ. In Escherichia coli, EnvZ responds to changes in the extracellular osmolarity of inner-membrane impermeable compounds and controls the phosphorylation of the response regulator OmpR. OmpR, in turn, regulates the transcription of a number of genes, the best characterized of which are ompF a...