This phase I trial studies side effects and best dose of recombinant interleukin-7 in promoting immune cell recovery in patients with acute myeloid leukemia, myelodysplastic syndrome, chronic myeloid leukemia, or myeloproliferative disease after a cord blood transplant. Umbilical cord blood is a source of blood-forming cells that can be used for transplant, also known as a graft. However, there is a small number of blood-forming cells available in the transplant, which may delay the "take" of the graft in the recipient. Recombinant interleukin-7 may affect the "take" of the graft and the recovery of certain blood cells related to the immune system (called T-cells, natural killer cells, and B cells) in patients who have had a cord blood transplant.
- acute myeloid leukemia (AML)
- myelodysplastic syndromes (MDS)
- myeloproliferative neoplasms (MPN)