A method for combining a fluid delivery system with an analysis system for performing immunological or other chemical of biological assays. The method includes a miniature plastic fluidic cartridge containing a reaction chamber with a plurality of immobilized species, a capillary channel, and a pump structure along with an external linear actuator corresponding to the pump structure to provide force for the fluid delivery. The plastic fluidic cartridge can be configured in a variety of ways to affect the performance and complexity of the assay performed.