Memory Enriched T Cells Following Stem Cell Transplant in Treating Patients With Recurrent B-Cell Non-Hodgkin Lymphoma

This phase I trial studies the highest possible dose of memory enriched T cells that can be given following standard stem cell transplant before unmanageable side effects are seen in patients with B-cell non-Hodgkin lymphoma that has returned after previous treatment. A T cell is a type of immune cell that can recognize and kill abnormal cells of the body. Memory enriched T cells will be made from a patient's own T cells that are genetically modified in a laboratory. This means that the T cells are changed by inserting additional pieces of deoxyribonucleic acid (genetic material) into the cell to make it recognize and kill lymphoma cells. Memory enriched T cells may kill the cells that are not killed by stem cell transplant and may lower the chances of the cancer recurring.