The present disclosure relates to an artificial, extracorporeal system for liver replacement and/or assistance, comprising a liver dialysis device for conducting hemodialysis on a patient suffering from liver failure, which is characterized in that it comprises a first standard hollow fiber membrane dialyzer which does not allow passage of an essential amount of albumin over the membrane wall and which is perfused with the patient's blood, and a second hollow fiber membrane dialyzer which allows the passage of essential but defined amounts of albumin over the membrane wall and which receives the blood of the first standard hemodialyzer and wherein the filtrate space is closed off from the lumen space of the hollow fibers and is populated by adsorbent material which may comprise one or more different adsorbents.
