Two (2) days after completion of high or lower-dose therapy (Day 0), both units of cord blood (the expanded and the unexpanded cord) will be infused into you (one at a time) through your catheter. The unexpanded cord will be thawed and infused first, followed by the infusion of the cells that were expanded in the lab. Each unit will take about 30 minutes to infuse. You will then be hospitalized until your marrow function is restored enough. This usually takes between 3-6 weeks. During this time, you will receive a variety of medications, transfusions, and other standard procedures aimed at decreasing the risks of this procedure, such as graft vs. host disease (GVHD).