Subjects will have blood tests to assess safety and efficacy, and persistence of the CART-19 cells at regular intervals through four weeks after their last infusion of the study. Following the 6 months of intensive follow-up, subjects will be evaluated quarterly for two years with a physical examination, blood tests, bone marrow aspirate, minimal residual disease (MRD) and persistence of CART-19. Following this evaluation, subjects will be evaluated health problems every year for an additional thirteen years.