Circulating free lambda and kappa free light chains in blood play a role in the pathogenesis of acute renal failure due to myeloma. Coupled plasma filtration and adsorption allows separation of plasma from blood and treatment of the plasma through a cartridge containing a sorbent or resin material, such as hydrophobic divinylbenzene styrenic resins having an average bead diameter of 75 microns, an average pore diameter of 30 nm, and a surface area of 700 m2/g. Lambda and kappa free light chain concentrations progressively decrease during coupled plasma filtration and adsorption treatment resulting in significant reductions by the end of the treatment.