Dynamics of an interactive network composed of a bacterial two-component system, a transporter and K⁺ as mediator

KdpD and KdpE form a histidine kinase/response regulator system that senses K⁺ limitation and induces the kdpFABC operon, which encodes a high-affinity K⁺ uptake complex. To define the primary stimulus perceived by KdpD we focused in this study on the dynamics of the Kdp response. Escherichia coli cells were subjected to severe K⁺ limitation, and all relevant parameters of the Kdp response, i.e., levels of kdpFABC transcripts and KdpFABC proteins, as well as extra- and intracellular K⁺ concentrations, were quantitatively analysed over time (0 to 180 min). Unexpectedly, induction of kdpFABC was found to follow a non-monotonic time-course. To interpret this unusual behaviour, a mathematical model that adequately captures the dynamics of the Kdp system was established and used for simulations. We found a strong correlation between KdpD/ KdpE activation and the intracellular K⁺ concentration, which is influenced by the uptake of K⁺ via the KdpFABC complex. Based on these results a model is proposed in which KdpD/KdpE phosphorylation is inversely correlated with the intracellular K⁺ concentration. To corroborate this hypothesis an isogenic mutant that produces a defective KdpFABC complex, and the trans-complemented mutant that expresses the KtrAB high-affinity K⁺ uptake system of Vibrio alginolyticus were quantitatively analysed. Experimental data and simulations for the mutants consistently support the tight correlation between KdpD/KdpE activation and the intracellular K⁺ concentration. This study presents a striking example of the nonintuitive dynamics of a functional unit comprising signalling proteins and a transporter with K ⁺ as mediator.