Anti-CD70 CAR-T (St Jude Children's Research Hospital, Inc)

The study participant has one of the following blood cancers: acute myelogenous leukemia (AML)/myelodysplastic syndrome (MDS), acute lymphoblastic leukemia (B-ALL, T-ALL) or Lymphoma. Your cancer has been difficult to treat (refractory) or has come back after treatment (relapse).
Primary Objective
To determine the safety and maximum tolerated dose of intravenous infusions of escalating doses of CD70-CAR T cells in patients (≤21 years) with recurrent/refractory CD70+ hematological malignancies after lymphodepleting chemotherapy.
Secondary Objectives
To evaluate the antileukemic activity of CD70-CAR T cells. We will determine the anti- leukemic activity of the CD70-CAR T cells in the bone marrow and in the treatment of extramedullary disease.