If you are found to be eligible to take part in this study, AML cells will be collected from your blood through a vein in your arm. A blood separator device called an apheresis machine will be used. Each apheresis procedure takes about 3-5 hours. It is similar to donating platelets to a blood bank. You may have bone marrow aspirations instead with general anesthesia, usually lasting up to 3 hours. To collect a bone marrow aspirate, an area of the hip or chest bone is numbed with anesthetic, and a small amount of bone marrow is withdrawn through a large needle. The AML cells collected by either the apheresis or bone marrow collection procedure will be used later to make the vaccine in the M. D. Anderson Cell Therapy Laboratory where they will be frozen and stored until it is time to make the vaccine.