A matrix droplet extruder includes one or a plurality of reagent containers. Pneumatic connectors are each connectable to a corresponding docking station connector of a docking station that is connectable to a pneumatic generator controllable by a controller to provide pneumatic pressure to the pneumatic docking station connectors. A droplet matrix extrusion surface includes an array of perforations. A liquid management chip has a network of dispensing channels for dispensing reagents from reagent containers through the array of perforations. A pneumatic control network includes pneumatic channels and gates that are controllable by application of the pneumatic pressure to the gates via the pneumatic channels to enable or block dispensing the one or more reagents to repeatedly generate a matrix of droplets when applying the pneumatic pressure to the reagents.