Research Study to Determine if an Experimental Agent, LLME Can Decrease the Incidence and Severity of Graft-Versus-Host-Disease (GVHD) Following Blood (Hematopoietic) Stem Cell Transplantation

Inclusion Criteria

• Patients must be > 18 years of age, with no upper age limit.
• Patients must have an ECOG performance status of 0 or 1.
• Any patient with a hematologic malignancy which is unlikely to be cured by conventional treatment is eligible for this study.
• Patients for whom a disease specific protocol exists will be transplanted on those protocols as discussed in the introduction.
• Patients who have had prior autografts may be treated on this protocol.
• Patients must have adequate physical function as measured by the following criteria:
• Cardiac: Asymptomatic or, if symptomatic, then left ventricular ejection fraction at rest must be >40%.
• Hepatic: Aspartate transaminase (AST) micro 3x the upper limits of normal and total serum bilirubin 60 ml/min/1.73m2. Serum creatinine must be less than or equal to 2.0 mg/dl.
• Pulmonary: Asymptomatic or, if symptomatic, DLCO (diffusion capacity) > 45% of predicted (corrected for hemoglobin)
• The patient or guardian(s) must be able to give informed consent to the study.
• Patient must have a suitable donor who is identical for HLA (human leukocyte antigens) -A, -B, -C, -DR. Single antigen mismatches for HLA-A, -B, -C, -DR are also permitted. Donors obtained through the National Marrow Donor Program (NMDP) will follow NMDP guidelines.

Exclusion Criteria

• Patients who are eligible for a standard myeloablative transplant and for whom a standard myeloablative transplant is preferable will not be treated on this protocol.