Overview Cellular Therapy With Cord Blood Cells Status: Completed Trial end date: 2010-11-01 Target enrollment: Participant gender: Summary The goal of this clinical research study is to learn if giving umbilical cord blood along with standard stem cells after high-dose chemotherapy will improve the response to a stem cell transplant. The safety of this treatment will also be studied. Phase: Phase 2 Details Lead Sponsor: M.D. Anderson Cancer CenterTreatments: FludarabineFludarabine phosphateMelphalanRituximabVidarabine