UF-KURE-BCMA CAR-T Cells

The purpose of this study is to determine if UF-KURE-BCMA (B-Cell Maturation Antigen) chimeric antigen receptor T cells (CAR-T cells) can be used to treat relapsed or treatment refractory multiple myeloma (RRMM). This treatment uses T cells already present within the body that have been modified outside of the body by a virus and then returned by an infusion to fight cancer. The investigators are evaluating UF-KURE-BCMA because it uses a manufacturing process that is shorter than other Food and Drug Administration (FDA) approved CAR-T cells and only requires a simple blood draw. The standard treatments require weeks to manufacture the cells as well a special procedure to get an individual's cells. While the shorter manufacture time can be an advantage, the safety of this approach has not been demonstrated. The use of UF-KURE-BMCA is investigational and is not approved by the FDA outside of clinical trials. This is the first study of UF-KURE-BCMA in patients. Participants will give a pint of blood, which is the amount one would provide if they were to donate blood. The blood will be used to make the UF-KURE-BCMA cells. Participants will then receive chemotherapy followed by a one-time infusion of the experimental modified CAR-T cells. After this infusion, participants will be watched for side effects and follow up will continue for up to 15 years.