providing a simulated moving bed apparatus comprising a plurality of filter cartridge modules, each filter cartridge module comprising a volume of stationary phase particulates adjacent a porous substrate layer, each filter cartridge module having a filter cartridge module inlet, a filter cartridge module outlet and filter cartridge module recirculation piping connecting the filter cartridge module outlet and the filter cartridge module inlet, the plurality of filter cartridge modules being in serial fluid connection;

flowing a solution mixture comprising a target molecule continuously through the plurality of filter cartridge modules, wherein a recirculation portion of the solution mixture flow is recirculated from the filter cartridge module outlet to the filter cartridge module inlet and a remaining portion of the solution mixture flows to a subsequent filter cartridge module inlet;

binding the target molecule to the volume of stationary phase particulates to form a target molecule:stationary phase particulate product;

removing a loaded filter cartridge module containing the target molecule:stationary phase particulate product from the solution mixture flow;

separating the target molecule from the target molecule:stationary phase particulate product from the loaded filter cartridge to form an isolated target molecule product and a regenerated filter cartridge; and

adding the regenerated filter cartridge module to the solution mixture flow.