Autologous T Cells With or Without Cyclophosphamide and Fludarabine in Treating Patients With Recurrent or Persistent Advanced Ovarian Epithelial Cancer, Primary Peritoneal Cavity Cancer, or Fallopian Tube Cancer (Fludarabine Treatment Closed as of 12/01/2009)

OBJECTIVES: * To assess the safety and tolerability of in vitro expanded autologous WT1 specific T cells, when administered alone or in combination with non-myeloablative, immunosuppressive conditioning, in patients with recurrent or persistent, advanced, WT1-positive, ovarian epithelial cancer, primary peritoneal cavity cancer, or fallopian tube cancer. * To determine the maximum tolerated dose of autologous WT1 specific T cells in these patients. * To quantitate alterations in the concentration of WT1 specific T cells in the blood at defined intervals post infusion with or without non-myeloablative, immunosuppressive conditioning in order to gain estimates regarding their survival and proliferation. * To assess the effects of the adoptively transferred T cells on the growth and progression of advanced ovarian epithelial cancer, primary peritoneal cavity cancer, or fallopian tube cancer. OUTLINE: This is a dose-escalation study of WT1 peptide-specific T cells. * T-cell generation and isolation: Patients undergo collection of peripheral blood stem cells (PBMC) from which T cells are purified, stimulated in vitro with WT1 peptide-pulsed autologous EBV BLCL, and expanded ex vivo. * Stem cell mobilization and harvest: Patients receive filgrastim (G-CSF) subcutaneously daily for five days. PBMC are collected by leukapheresis on the fifth day and then cryopreserved for subsequent reinfusion into the patient, in the event of prolonged cytopenia. * Autologous T-cell infusion with or without conditioning chemotherapy ( fludarabine treatment closed as of 12/01/2009): Approximately 4-6 weeks after T-cell sensitization, patients receive an infusion of autologous WT1-specific T cells over 5-10 minutes on day 0. Patients enrolled in dose levels II and III also undergo pre-infusion lymphodepletive conditioning comprising cyclophosphamide IV on day -2 and fludarabine phosphate IV over approximately 30 minutes on days -6 to -2. After a 48-hour rest period, patients receive autologous WT1-specific T cells. Treatment repeats every 14 days for up to 4 courses in the absence of disease progression or unacceptable toxicity. Patients with responsive or stable disease after completion of therapy, may receive additional courses of autologous WT1-specific T cells every 14 days. Blood samples are obtained at baseline and periodically during study and assayed for alterations in circulating levels of WT1 peptide-specific T cells, for biochemical indices of tumor burden, and for radiologic evidence of tumor response. Serum CA125 levels are measured and the number of T cells generating interferon gamma in response to autologous EBV BLCL is quantitated. After completion of study therapy, patients are followed for up to 12 weeks.