Abstract: A flexible patch pump for controllable accurate subcutaneous delivery of one or more medicaments to a patient includes a laminated layered structure. The pump may have a rigid reservoir layer including a number of rigid reservoirs disposed in a flexible material; a flexible microfluidic layer including a compliant membrane for sealing the rigid reservoirs, a network of microfluidic channels connecting the rigid reservoirs, and a number of inlet and/or outlet valves corresponding to the rigid reservoirs; and a flexible-rigid electronic circuit layer including a number of individually-addressable actuators. In operation, the rigid reservoirs may contain medicament that is dispensed in precise volumes at appropriate times due, for example, to a pressure change in an addressed reservoir caused by displacement of the compliant membrane or other actuation element.