A Study to Evaluate Safety and Tolerability of a Therapeutic Vaccine, ASP0113, in Subjects Undergoing Allogeneic Hematopoietic Cell Transplant

Inclusion Criteria: * Subject is planned to undergo either of the following: * Sibling Donor Transplant - 7/8 Human Leukocyte Antigen (HLA)-A, -B, -C, -DRß1 match utilizing high resolution typing or 8/8 (HLA)-A, -B, -C, -DRß1 match utilizing low or high resolution typing. * Unrelated Donor Transplant - 7/8 or 8/8 HLA-A, -B, -C, -DRß1 match utilizing high resolution typing. * Subject has one of the following underlying diseases: Acute myeloid leukemia (AML) /Acute lymphoblastic leukemia (ALL) / Acute undifferentiated leukemia (AUL) /Acute biphenotypic leukemia / Chronic myelogenous leukemia (CML) / Chronic lymphocytic leukemia (CLL) / myelodysplastic syndrome(s) (MDS) * Subject is scheduled to receive an allogeneic peripheral blood stem cell (PBSC) or bone marrow transplant (BMT) for the treatment of hematologic disorders Exclusion Criteria: * Subject has active CMV disease or infection or has received treatment for active CMV disease or infection within 90 days prior to transplant * Subject has planned CMV prophylactic therapy with antiviral drugs or CMV-specific immunoglobulins * Subject has a modified hematopoietic cell transplant comorbidity index (HCT-CI) score \> 3 * Subject is known to be positive for human immunodeficiency virus (HIV), hepatitis B surface antigen or hepatitis C ribonucleic acid (RNA) * Subject has received any of the following substances or treatments: * T-cell depletion of donor cell product. * Alemtuzumab within 60 days prior to transplant, including conditioning regimen. Subjects for whom treatment with alemtuzumab is planned at any time from 60 days prior to through one year post-transplant should not be enrolled in the trial. * Administration of a CMV vaccine, including any prior exposure to ASP0113. * Subject has received an allogeneic stem cell transplant within one year prior to transplant * Subject has a current malignancy in addition to the malignancy being treated for the study or the subject has a history of any other malignancy * Subject has an unstable medical or psychiatric condition, including a history of illicit drug(s) or alcohol abuse that the Investigator believes will interfere with protocol requirements.