Selective Depletion of CD45RA+ T Cells From Allogeneic Peripheral Blood Stem Cell Grafts in Preventing GVHD in Children

Inclusion Criteria: * Patients who are considered appropriate candidates for allogeneic hematopoietic stem cell transplantation and have one of the following diagnoses: * Acute lymphocytic leukemia in first or subsequent remission * Acute myeloid leukemia in first or subsequent remission * Acute lymphocytic leukemia in relapse or primary refractory disease with a circulating blast count of no more than 10,000/mm\^3 * Acute myeloid leukemia in relapse or primary refractory disease with a circulating blast count of no more than 10,000/mm\^3 * Refractory anemia with excess blasts (RAEB-1 and RAEB-2) * Chronic myelogenous leukemia with a history of accelerated phase or blast crisis * Other acute leukemia (including but not limited to 'biphenotypic', 'undifferentiated' or 'ambiguous lineage' acute leukemia) * Patient with a human leukocyte antigen (HLA)-identical (HLA-A, B, C, and ribonucleic acid \[RNA\] binding motif protein 45 \[DRB1\] molecularly matched) unrelated donor or related donor capable of donating PBSC * DONOR: HLA-matched unrelated donors (HLA-A, B, C, and DRB1 matched based on high-resolution typing) capable and willing to donate PBSC * DONOR: HLA-matched related donors \>= 18 years and capable and willing to donate PBSC Exclusion Criteria: * Patients with central nervous system (CNS) involvement refractory to intrathecal chemotherapy and/or standard cranial-spinal radiation * Patients on other experimental protocols for prevention of acute GVHD *…