- Patients will be eligible for the clinical trial under the following conditions: they do NOT have an HLA-A/B/DR B1 identical RELATED bone marrow donor; they do NOT have a 6/6 HLA-identical matched unrelated adult donor; OR a matched related donor transplant is not in the best interest of the patient (i.e., patient's condition precludes waiting on the donor, too much time to prepare the donor, the donor is ineligible due to medical reasons, or in the case of high risk disease a related donor is not appropriated (syngeneic transplant); the decision must be agreed upon by the consensus of physicians on the Case Comprehensive Cancer Center Leukemia/Lymphoma Multidisciplinary Committee; OR their condition precludes waiting to search and find a donor in the National Marrow Donor Registry