A microfluidic device unit is provided. The microfluidic device unit includes: (a) a unit inlet and a unit outlet; (b) a cavity including a fluidic channel; (c) a fluidic resistor; and (d) a filter, wherein the unit inlet, the unit outlet, the fluidic channel, and the fluidic resistor are fluidically coupled to one another, wherein the cavity, the fluidic resistor, and the filter are between the unit inlet and the unit outlet, wherein the cavity is upstream of the fluidic resistor, and wherein the filter is positioned so as to filter fluid after it enters the fluidic channel and before it enters the fluidic resistor. A microfluidic device array comprising the microfluidic device unit, a diagnostic apparatus comprising the microfluidic device array, a process for making the array and a method for using the array for sensing an analyte are also provided.