Analytical comparison of single-pass and dead-end operation in cascade filtration plasmapheresis

Derived mathematical models are employed to compare cascade filtration plasmapheresis in the dead-end and single-pass formats. The high filtration fraction and low sieving coefficients associated with single-pass cascade filtration are shown to require treatment of the retentate concentration profile in an integrated rather than a length-averaged fashion. The models are best applied to specific simulations, but in general predict that (a) for a given membrane, the dead-end format will yield a higher albumin recovery but a lower macroglobulin rejection than single pass; (b) the single-pass format is more suited to loose membranes and the dead-end to tight membranes; and (c) in the single-pass but not the dead-end format, solute recovery is conveniently independent of the quantity filtered. Agreement between predicted and measured performance is good, although a larger data base would be required for complete validation of the models.