The purpose of this study is to test the safety of delivering the patients' own immune cells, called T cells, after the high-dose chemotherapy (HDT) and autologous stem cell transplantation (ASCT).

Transplant eligible patients will be eligible if criteria met per below.

Inclusion Criteria:

• Patients ≥ 18 years of age with aggressive B-cell non-Hodgkin lymphoma subtypes including, relapsed or refractory diffused large B-cell lymphoma (DLBCL), and transformed follicular lymphoma meeting at least one of the following criteria:

  • Bone marrow involvement at the time of relapse or refractory disease and not appropriate for allogeneic transplantation.
  • PET positive disease outside of one radiation port unless single-port disease treated with prior radiotherapy within the port, following > or = to 2 cycles of salvage chemotherapy, still achieving chemosensitive status 1999 IWG criteria (section 12.2 and 12.383).

• Creatinine ≤ 1.5 mg/100 ml (or measured 24 hour creatinine clearance of ≥ 50 cc/min)

• Bilirubin <2.0 mg/100 ml, AST and ALT <3x the upper-limit of normal, PT and PTT < 2x normal outside the setting of stable chronic anticoagulation therapy,

• Adequate cardiac function (LVEF>40%) as assessed by ECHO or MUGA scan performed within 1 month of treatment.

• Adequate pulmonary function as assessed by DLCO of > or = to 45% adjusted for hemoglobin.

• Life expectancy of > 3 months.

Exclusion Criteria:

• Karnofsky performance status ≤ 70 (see appendix VI).
• Patients with other aggressive B-cell malignancies including, but not limited to: Burkitt lymphoma, transformed CLL/SLL and transformed marginal zone lymphoma that are not included in 6.1 inclusion criteria.
• Patients previously treated with autologous or allogeneic bone marrow or stem cell transplantation are ineligible.
• Other past or current malignancy unless in the opinion of the investigator it does not contraindicate participation in the study.
• Uncontrolled bacterial, viral or fungal infection.
• Patients with HIV, active hepatitis B or hepatitis C infection.