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

PRIMARY OBJECTIVES: I. To assess the safety and determine the maximum tolerated dose (MTD) of each cellular immunotherapy product, cluster of differentiation (CD)19R (EQ) 28 zeta/truncated human epidermal growth factor receptor (EGFRt) + central memory T cell (Tcm) (Arm 1) and CD19R(EQ)28zeta/EGFRt+ naive memory T cell (TN/MEM) (Arm 2), in conjunction with a standard myeloablative autologous hematopoietic stem cell transplant (HSCT) for patients with high-risk intermediate or high grade B-lineage non-Hodgkin lymphomas. SECONDARY OBJECTIVES: I. To determine the tempo, magnitude, and duration of engraftment of the transferred T cell product as it relates to the number of cells infused. II. To study the impact of this therapeutic intervention on the development of normal CD19+ B-cell precursors in the bone marrow as a surrogate for the in vivo effector function of transferred autologous CD19R(EQ)28zeta/EGFRt+ Tcm or TN/MEM. OUTLINE: This is a dose-escalation study. Patients are assigned to 1 of 2 arms. ARM 1: Patients receive autologous CD19CAR-CD28-CD3zeta-EGFRt-expressing TCM-enriched T cells intravenously (IV) over 10 minutes on day 2 or 3 following HSCT. ARM 2: Patients receive autologous CD19CAR-CD28-CD3zeta-EGFRt-expressing TN/MEM-enriched T cells IV over 10 minutes on day 2 or 3 following HSCT. Patients who experience disease progression and have not experienced serious treatment-related toxicities at greater than or equal to 100 days post T cell infusion will be allowed to receive an optional second T cell infusion. After completion of study treatment, patients are followed up within 18-24 hours, then 18-72 hours, weekly for 1 month, monthly for 1 year, at 18, 24, and 36 months, and then annually thereafter for a minimum of 15 years.