Umbilical Cord Blood Transplantation Using a Myeloablative Preparative Regimen for Hematological Diseases

Inclusion Criteria: * Eligible Disease Status * Acute Myeloid Leukemia (AML): high risk CR1 (as evidenced by preceding MDS, high risk cytogenetics, ≥ 2 cycles to obtain CR, erythroblastic or megakaryocytic leukemia; CR2+. All patients must be in CR as defined by hematological recovery, AND \<5% blasts by light microscopy within the bone marrow with a cellularity of ≥15%. * Very high risk pediatric patients with AML: Patients \<21 years, however, are eligible with (M2 marrow) with \< 25% blasts in marrow after having failed one or more cycles of chemotherapy. * Acute Lymphocytic Leukemia (ALL): high risk CR1 as defined by cytogenetics (such as t(9;22), t (1:19), t(4;11), other MLL rearrangements, hypodiploidy, or IKZF1 abnormalities), DNA index \< 0.81, \> 1 cycle to obtain CR or presence minimal residual disease (MRD). Patients in CR2+ are eligible. All patients must be in CR as defined by hematological recovery, AND \<5% blasts by light microscopy within the bone marrow with a cellularity of ≥15%. * Very high risk pediatric patients with ALL: patients \<21 years are also considered high risk CR1 if they had M2 or M3 marrow at day 42 from the initiation of induction or M3 marrow at the end of induction. They are eligible once they achieved a complete remission. * Chronic Myelogenous Leukemia excluding refractory blast crisis: To be eligible in first chronic phase (CP1) patient must have failed or be intolerant to imatinib mesylate. * Plasma Cell Leukemia after i…