This phase II trial studies the side effects and best dose of umbilical cord blood-derived natural killer cells when given together with elotuzumab, lenalidomide, and high dose melphalan before autologous stem cell transplant and to see how well they work in treating patients with multiple myeloma. Before transplant, stem cells are taken from patients and stored. Drugs used in chemotherapy, such as elotuzumab, lenalidomide, and melphalan, may work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Giving chemotherapy before a stem cell transplant stops the growth of cancer cells by stopping them from dividing or killing them. Giving natural killer cells from donor umbilical cord blood before transplant may also kill myeloma cells that remain in the body after the last chemotherapy treatment. After treatment, stem cells are then returned to the patient to replace the blood-forming cells that were destroyed by the chemotherapy.
The following criteria is a partial list of reasons why patients may or may not be eligible to participate in this clinical trial. Further evaluation with a medical professional will be required to determine full eligibility.
The following criteria is provided for health care professionals.