Inclusion Criteria:

          1. Subjects aged >18yrs and < 65yrs

          2. Clinical diagnosis of one of the following adult hematological malignancies

               1. Leukemia

               2. Myelodysplastic Syndromes

               3. Lymphomas

               4. Multiple myeloma

               5. Other high-risk hematologic malignancies eligible for stem cell transplantation
                  per institutional standard Life expectancy >10 weeks

          3. Evidence of recurrent disease that presents > 100 days or minimal residual disease
             (MRD) that presents > 30 days after one of the following:

               1. Matched related HSCT

               2. Mismatched related HSCT

          4. Signed patient informed consent;

          5. A minimum genotypic identical match of 4/8 is required, as determined by high
             resolution typing, at least one allele of each of the following genetic loci: HLA-A,
             HLA-B, HLA-Cw, and HLA- DRB1

          6. Performance status: Karnofsky score > 50%

          7. Subjects with adequate organ function as measured by:

               1. Bone marrow:

                    -  > 25% donor T-cell chimerism

                    -  ANC >1 x 10E9/L

               2. Cardiac: left ventricular ejection fraction at rest must be >45%.

               3. Hepatic: direct bilirubin ≤ 3 x upper limit of normal, or AST/ALT ≤ 5 x upper
                  limit of normal

               4. Renal: creatinine ≤ 2x of ULN for age

               5. Pulmonary: FEV 1, FVC, DLCO (diffusion capacity) > 50% predicted (corrected for
                  hemoglobin)

        Exclusion Criteria:

          1. ≥ Grade II acute GVHD or chronic extensive GVHD due to a previous allograft at time of
             screening;

          2. Active CNS involvement by malignant cells;

          3. Current uncontrolled bacterial, viral or fungal infection (currently taking medication
             with evidence of progression of clinical symptoms or radiologic findings). The
             principal investigator is the final arbiter of this criterion;

          4. Positive HIV serology or viral RNA

          5. Pregnancy (positive serum βHCG test) or breast-feeding;

          6. Subjects of reproductive potential unwilling to use effective forms of birth control
             or abstinence for a year after transplantation;

          7. Bovine product allergy