Patients with advanced or treatment-refractory Multiple Myeloma (MM), Hodgkin's Disease (HD) and Non-Hodgkin's Lymphoma (NHL) may be successfully treated with high dose chemotherapy followed by autologous transplantation of peripheral blood stem cells (PBSCs). Successful engraftment of peripheral blood stem cells (PBSCs) is well correlated with the number of CD34+ cells infused.