Abstract: Method and apparatus for removing high density particles from a biological fluid such as blood using aphaeresis. The particles are preferably sub-micron in size and denser than normally occurring components of the fluid and can be removed by a modified reverse-flow gradient density centrifuge without damaging the fluid. The particles can be provided to a patient in vivo or added to the fluid after it is removed from the patient. Some particles can carry and deliver oxygen and scavenge carbon dioxide. Other particles are conjugated to capture molecules for attaching to targets such as cancer cells, viruses, pathogens, toxins, or excess concentrations of a drug or element in the fluid. The targets are then removed from the fluid along with the particles by the aphaeresis instrument.