Treatment of Relapsed and/or Chemotherapy Refractory Advanced Malignancies by CART-meso

I. Determine the safety and feasibility of the chimeric antigen receptor T cells transduced with the anti-meso vector (referred to as CART-meso cells). II. Determine duration of in vivo survival of CART-meso cells. RT-PCR (reverse transcription polymerase chain reaction) analysis of whole blood will be used to detect and quantify survival of CART-meso TCR (T-cell receptor) zeta:CD137 over time. SECONDARY OBJECTIVES: I. For patients with detectable disease, measure anti-tumor response due to CART-meso cell infusions. II. Estimate relative trafficking of CART-meso cells to tumor in bone marrow and lymph nodes. III. For patients with stored or accessible tumor cells determine tumor cell killing by CART-meso cells in vitro. IV. Determine if cellular or humoral host immunity develops against the murine anti-meso, and assess correlation with loss of detectable CART-meso (loss of engraftment). V. Determine the relative subsets of CART-meso T cells (Tcm, Tem, and Treg).