A microfluidic processing device includes a substrate defining a microfluidic network. The substrate is in thermal communication with a plurality of N independently controllable components and a plurality of input output contacts for connecting the substrate to an external controller. Each component has at least two terminals. Each terminal is in electrical communication with at least one contact. The number of contacts required to independently control the N components is substantially less than the total number of terminals. Upon actuation, the components typically heat a portion of the microfluidic network and/or sense a temperature thereof.