Activated T Lymphocytes Expressing CARs, Relapsed CD19+ Malignancies Post-Allo HSCT(CARPASCIO)

Patients have a type of lymph gland cancer called Non-Hodgkin Lymphoma (NHL), acute lymphocytic leukemia (ALL) or chronic lymphocytic leukemia (CLL) (these diseases will be referred to as "lymphoma" or "leukemia"). The lymphoma or leukemia has come back or has not gone away after treatment (including the best treatment known for these cancers). Because there is no standard treatment for this cancer at this time, subjects are asked to volunteer to be in a gene transfer research study using special immune cells. The body has different ways of fighting infection and disease. No one way seems perfect for fighting cancers. This research study combines two different ways of fighting disease, antibodies and T cells, hoping that they will work together. Both antibodies and T cells have been used to treat patients with cancers; they have shown promise, but have not been strong enough to cure most patients. T cells can kill tumor cells but there normally are not enough of them to kill all the tumor cells. Some researchers have taken T cells from a person's blood, grown more of them in the laboratory and then given them back to the person. The antibody used in this study is called anti-CD19. This antibody sticks to cancer cells because of a substance on the outside of these cells called CD19. CD19 antibodies have been used to treat people with lymphoma and leukemia. For this study, the CD19 antibody has been changed so that instead of floating free in the blood it is now joined to the T cells. When an antibody is joined to a T cell in this way it is called a chimeric receptor. The T lymphocytes will also contain CD28, which stimulates T cells and makes them last longer. Treatment with CD19/CD28 chimeric receptor-T cells has had activity against lymphoma and leukemia when the cells are made from the patients affected by these diseases. In this study, investigators are going to see if this treatment works even better when they make these cells from a healthy stem cell donor.