PCAR-119 Bridge Immunotherapy Prior to Stem Cell Transplant in Treating Patients With CD19 Positive Leukemia and Lymphoma

The purpose of this study is to evaluate the safety and optimal dose of PCAR-119 in patients who are going to receive stem cell transplantation but without available treatment to achieve complete remission prior to the transplant. In addition, some patients who enroll to other CD19-CAR-T cell therapy trials might be eligible for this trial if their CD19-CAR-T cells cannot be produced successfully because they have insufficient T cells to allow the CD19-CAR-T cells to be made; their T cells are inefficiently transduced with CAR viruses; or their CAR-T cell expansion is failed.