This project gets inspiration from living cells, where information processing and decision-making at the molecular level rely on chemical reaction networks (CRNs) that are out of thermodynamic equilibrium. In particular, chemical oscillators clock important cellular rhythms, such as the cell cycle and the circadian rhythm. Here we combine two state-of-the-art technologies to engineer time-responsive, enzyme-free DNA networks outside cells, in particular synthetic oscillators. On the one hand, the topology and the dynamics of the engineered network are encoded using strand displacement DNA hybridization reactions. On the other hand, the reaction network is maintained out of equilibrium within highly controlled open microfluidic reactors. This approach has advantages compared to the first synthetic oscillators demonstrated in 2011 that required specific enzymes to degrade nucleic acids to keep them out of equilibrium. Indeed, enzymes exhibit great variability from batch to batch and render the design of these oscillators less reliable. Alternatively, enzyme-free DNA-only reaction cascades have proved to be extremely robust, but they are not time responsive. Taking advantage of microreactors we will turn them into time-responsive systems. This could revolutionize information processing at the molecular level, as we show by implementing a concentration-controlled oscillator, inspired from the ubiquitous voltage-controlled oscillator in electronic devices.