Electrical oscillatory rf phenomena are present during the division of cells. These were examined by studying the attraction of cells for polarizable powders. They are understood to occur by a process termed microdielectrophoresis (micro-DEP), the motion induced by a nonuniform electric field acting on a polarizable body. The suggestion that an electrical oscillatory aspect may also be involved in the "contact" or density inhibition of cell division and the mechanisms that may cause invasiveness of oncogenic cells are theoretically explored (i.e., changes in either the power level or the frequency of the oscillatory phenomena associated with cell division, or in the degree of electrical insulation of the cell from electrical damping by nearby cells). A number of experiments to test this hypothesis are suggested.