BCMA Targeted CAR T Cells With or Without Lenalidomide for the Treatment of Multiple Myeloma

Modified T cell infusions will be administered 2-7 days following the completion of conditioning chemotherapy.There are 3 planned dose levels for this study: 1x10\^6, 3x10\^6, and 1x10\^7 EGFRt/BCMA-41BBz CAR T cells/kg, and a dose -1 level at 3x10\^5 EGFRt/BCMA-41BBz CAR T cells/kg, if needed; each dose cohort will consist of 3-6 patients.

Cyclophosphamide 3000 mg/m2 IV once on day -7 to -2 or low intensity cy/flu (cyclophosphamide 300 mg/m2/day x 3 + fludarabine 30 mg/m2/day x 3) with the last day occurring on day -7 to -2 are the default options for is the default conditioning chemotherapy.

A cohort of patients will be treated with CAR T cell therapy and concomitant Lenalidomide. 10mg PO 21/28 days will be started no less then 1 week prior to clinical apheresis.