Th1/Tc1 Immunotherapy Following Stem Cell Transplantation in Multiple Myeloma

Background: \- Cancer development is associated with problems in immune system functions, which prevent the body from attacking and destroying the abnormal cells that lead to tumor growth. Research has suggested that certain white blood cells, known as Th1 (type 1 T helper cells) and Th2 T cells (type 2 T helper cells), are affected in individuals with some kinds of cancer -- when the proportion of Th2 cells is greater than Th1 cells, the immune systems ability to fight off the growth of malignant tumors is weakened. Researchers are interested in determining if an infusion of specially modified Th1 cells, in addition to stem cell transplant, is a safe and effective treatment for individuals with forms of multiple myeloma that might not respond well to standard treatments alone. Objectives: \- To determine the safety and effectiveness of the infusion of modified Th1 white blood cells, in conjunction with standard treatment, as a treatment for individuals who have been diagnosed with high-risk forms of multiple myeloma. Eligibility: * Individuals age 18 to 75 who have been newly diagnosed with high-risk multiple myeloma and who have received no or minimal treatment (Cohort A). * Individuals age 18 to 75 who have relapsed multiple myeloma, as defined by measurable disease after at least 2 prior treatment regimens. Design: * Participants will be screened with a medical history, physical examination, blood and urine tests, and imaging studies. Some participants may also have a bone marrow or other type biopsy to evaluate the state of their disease. * White blood cells will be collected from the participants through an apheresis procedure, which will collect and separate the white blood cells and return the rest of the blood to the participant. * The collected cells will be grown and expanded under special conditions in the laboratory and stored frozen until participants receive standard of care treatment for multiple myeloma, including a stem cell transplant. * Pa