An assembly of devices designed for the automated processing of blood, relative components or cellular products (e.g., umbilical cord blood, bone marrow), in a closed sterile environment using centrifugation to isolate constituent components (e.g., cells, plasma). The assembly typically consists of a mains electricity (AC-powered) processing unit with an integral centrifuge, a disposable kit that includes a centrifugation chamber into which blood is introduced and sedimented into its components during centrifugation, and application-specific protocol software. The system is not donor or patient connected and is typically used for stem cell banking and regenerative medicine.