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High-Dose Unrelated Donor Umbilical Cord Blood Transplant with T-cell Depleted Peripheral Blood Stem Cell Infusion in Treating Patients with High-Risk Hematologic Malignancies

Trial Status: complete

This phase II trial studies how well high-dose unrelated donor umbilical cord blood transplant with T-cell depleted peripheral blood stem cell infusion works in treating patients with hematologic malignancies that are likely to come back or spread (high-risk). Giving chemotherapy and total-body irradiation before a donor umbilical cord blood transplant helps stop the growth of cells in the bone marrow, including normal blood-forming cells (stem cells) and cancer cells. It may also stop the patient's immune system from rejecting the donor's stem cells. When the healthy stem cells from an unrelated donor that do not exactly match the patient's blood are infused into the patient, they may help the patient's bone marrow make stem cells, red blood cells, white blood cells, and platelets. The donated stem cells may also replace the patient’s immune cells and help destroy any remaining cancer cells.