Laboratory-Treated T Cells in Treating Patients With High-Risk Relapsed Acute Myeloid Leukemia, Myelodysplastic Syndrome, or Chronic Myelogenous Leukemia Previously Treated With Donor Stem Cell Transplant

PRIMARY OBJECTIVES: I. Determine the safety and potential toxicities associated with treating patients with high risk or relapsed AML, MDS, and CML after allogeneic hematopoietic cell transplantation (HCT) by adoptive transfer of virus-specific cluster of differentiation (CD)8 T cells genetically-modified to express a high affinity Wilms tumor 1 (WT1)-specific T cell receptor (TCR). II. Determine the anti-leukemic activity associated with treating patients with relapsed AML, MDS and CML after allogeneic HCT by adoptive transfer of virus-specific CD8 T cells genetically-modified to express a high affinity WT1-specific T cell receptor (TCR). SECONDARY OBJECTIVES: I. Determine the in vivo persistence of transferred T cells and ability to migrate to and accumulate in bone marrow. II. Determine the maintenance of TCR expression and function of transduced T cells. OUTLINE: Patients are assigned to 1 of 2 treatment arms. ARM I: Patients with no evidence of leukemia post-HCT receive WT1-sensitized T cells intravenously (IV) over 45 minutes (or longer for patients who are 15-30 kg) on days 0 and 14 and aldesleukin subcutaneously (SC) twice daily (BID) on days 14-28. ARM II: Patients with evidence of AML (minimal residual disease or overt relapse) post-HCT receive cyclophosphamide IV and fludarabine phosphate IV daily on days -4 to -2. Patients also receive WT1-sensitized T cells IV over 45 minutes (or longer for patients who are 15-30 kg) on days 0 and 21 and aldesleukin SC BID on days 14-28. After completion of study treatment, patients are followed up weekly for 4 weeks, at weeks 6 and 8, at 3, 6, 12 months, and then annually for up to 15 years.