• Rates of success of engraftment, day 100 treatment related mortality, acute GVHD, relapse and EBV LPD. Patients who die will be considered failure for the engraftment success evaluation, and relapsed for that endpoint. [ Time Frame: 100 days ] [ Designated as safety issue: Yes ]
  

PRIMARY HYPOTHESIS: T cell depletion utilizing the CliniMACS device will allow more precise, specific and controlled graft engineering of peripheral blood stem cells from unrelated and partially matched related donors without an increase in relapse or graft rejection and grade III or IV acute graft vs. host disease (GVHD).

SECONDARY HYPOTHESIS: Use of the CliniMACS device will allow defined levels of T cell depletion to reflect the risk of severe GVHD in the donor/recipient pair.

Thus Patients with a relatively lower risk of severe GVHD will be assigned to Stratum 1 and receive a graft with somewhat less T cell depletion and a defined level of reinfused T cells. Patients with higher risk of severe GVHD will be assigned to Stratum 2 and receive a more T cell-depleted graft.

PURPOSE This is a pilot study with 2 strata to evaluate engraftment and graft vs. host disease (GVHD) in patients receiving unrelated or partially matched related donor peripheral stem cells using the CliniMACS system to positively or negatively deplete T cells to prevent severe GVHD. Feasibility will be tested, focusing on engraftment, treatment-related mortality (with a specific focus on interstitial pneumonitis) and severe GVHD