Dielectrophoresis - the induced motion of polarizable particles in nonuniform fields has proven to be an effective method for the separation of bioparticles such as cells, viruses and proteins. In this paper, the application of dielectrophoresis in miniaturized laboratories-on-a-chip is discussed, and strategies are described for using dielectrophoresis both for the binary separation of bioparticles and for the fractionation of many populations in such devices.