Computational fluid dynamics simulation and the pressure nodes network. (a) Flow distribution in the ladder. In the inset unique numbers are assigned to the pressure nodes before and after each resistor feature, and at the junctions. The red arrows show the direction of the flow. (i and k) are counters for the resistors and nodes, respectively. (b) Contours of pressure for constriction of (i) L = 420 μm (ii) L = 1650 μm (iii) L = 4950 μm and (iv) the standard mixer resistors for the flow rate of 130 μL h−1 for each of the channels. (c) The pressure at the inlet of the features in A. (d) Hydraulic resistance of the constriction, as a function of the length for width of 40 μm. Simulations for seven constrictions are shown (L = 420 μm, 1649 μm, 4070 μm, 4949 μm, 7990 μm, 10795 μm). At L = 655 μm, the hydraulic resistance of the constriction is equal to that of the mixer. (e) Ratio of the flow rates of the drug and the diluent at their respective inlets will affect the concentration profile of the microchambers. These results are from network simulations. (f) The dilution factor in the Concentration(%)=50×E1−i needs to be E = 2, where i is the chamber number. The formula is fitted to the results in the part E to solve for E using least square algorithm. Credit: Communications Engineering (2023). DOI: 10.1038/s44172-023-00064-5