T-Regulatory Cell and CD3 Depleted Double Umbilical Cord Blood Transplantation in Hematologic Malignancies

Inclusion Criteria: * Only patients requiring a double umbilical cord blood (UCB) transplant are to be considered for this study. UCB Requirements * Three UCB units are required - one for Treg production and two for UCB transplant. The unrelated UCB donors must be 4-6/6 HLA-A, B, DRB1 matched with the recipient (HLA matching using molecular techniques: A and B to antigen level resolution and DR to allele level resolution). Suitable UCB units will be selected according to the University Of Minnesota UCB Graft Selection Algorithm. * Suitable UCB units must be ABO matched. Disease Criteria: * Patients aged 18 to 55 years * Acute Myeloid Leukemia: with morphologically persistent disease in a representative bone marrow aspirate sample with ≤ 10% blasts after at least 1 cycles of chemotherapy (if patient refuses or is disqualified from alternative protocols), or in 3rd or higher complete remission (CR). * Acute Lymphocytic Leukemia: with morphologically persistent disease in a representative bone marrow aspirate sample with ≤ 10% blasts after at least 1 cycles of chemotherapy, or in 3rd or higher CR * Chronic Myelogenous Leukemia in Blast Crisis: with ≤10% residual blasts in the bone marrow aspirate after at least 1 cycle of induction chemotherapy in combination with a tyrosine kinase inhibitor (TKI) * Refractory Anemia with Excess Blasts: (≤ 10%) in representative bone marrow aspirate sample of blasts after 1 cycle of induction chemotherapy. If treated with hypomethylating ag…