Genetically Modified T-cell Infusion Following Peripheral Blood Stem Cell Transplant in Treating Patients With Recurrent or High-Risk Non-Hodgkin Lymphoma

This phase I trial studies the side effects and best dose of genetically modified T-cells following peripheral blood stem cell transplant in treating patients with recurrent or high-risk non-Hodgkin lymphoma. Giving chemotherapy before a stem cell transplant helps stop the growth of cancer cells. When the healthy stem cells from a donor are infused into the patient they may help the patient’s bone marrow make stem cells, red blood cells, white blood cells, and platelets. Sometimes the transplanted cells from a donor can make an immune response against the body’s normal cells. Removing the T cells from the donor cells before transplant may stop this from happening. Giving an infusion of the donor’s T cells (donor lymphocyte infusion) later may help the patient’s immune system see any remaining cancer cells as not belonging in the patient’s body and destroy them (called graft-versus-tumor effect)