A latching microregulator for regulating liquid flow on micro-scale levels comprises a substrate having an inlet port and an outlet port, a valve element defining a valve chamber for opening and closing the inlet port, and an actuator assembly for actuating the valve element. The valve chamber is configured to contain a volume of fluid, and the inlet port and the outlet port are in fluid communication with the valve chamber to provide a liquid flow path through the chamber. The actuator assembly comprises a cantilever beam for moving the valve element between an open position and a closed position, an actuator, such as a piezoelectric element, for moving the cantilever beam, and a latch, such as a permanent magnet, for securing the cantilever beam in the closed position. A flow regulation system comprises a plurality of fluid channels of varied flow conductance and a plurality of latching microregulators for selectively blocking or allowing flow through each of the fluid channels.