- Patients with non-lymphoma diagnoses, patients with lymphoma that are under the age of 18 and lymphoma patients that are projected to be unable to complete the protocol-defined therapy through day 180 post-transplant will not be randomized but will be treated on cohort 3 (n=40), which will evaluate transplantation without the Flu/Cy preparative regimen and with pre-emptive Th2 cell DLI. The primary objective of cohort 3 is to evaluate whether transplantation without a preparative regimen will reduce the rate of acute GVHD associated with Th2 cell DLI from 41% (the rate observed with the Flu/Cy preparative regimen) to a rate of 15% (6 cases out of 40).