GVHD results from a reaction of the transplanted cord blood cells against certain tissues in your body. In an attempt to prevent or decrease the severity of GVHD, you will receive 2 drugs. Mycophenolate will be given through your catheter 2 times per day (morning and evening) on Days -3 through Day 100. Tacrolimus will be given as a 24-hour continuous infusion over 3-6 weeks. Around Day 30 or 40 (after engraftment), the tacrolimus will be changed to pills given once a day for 180 days (6 months). If GVHD is present, tacrolimus may then be continued longer. The number of tacrolimus pills may vary according to the blood levels of the drug, but usually are between 1-5 pills. Your dose of tacrolimus can be gradually lowered around Day 180 if no GVHD is present. This medicine is used for 6-9 months (longer if chronic GVHD occurs).