2. Steroid-refractory aGVHD with any of the following: a) No change in the stage of skin aGVHD after 1 week of 2 mg/kg per day or more methylprednisolone. b) Progression of acute GVHD (ie, increase in disease stage by at least 1) of skin GVHD or lack of response of visceral (liver, GI) aGVHD despite treatment with 2 mg/kg per day or more methylprednisolone for at least 72 hours. c) Progression of visceral aGVHD despite treatment with 2 mg/kg per day or more methylprednisolone for at least 48 hours d) Visceral aGVHD progressing to stage 4 after 24 hours of 2 mg/kg per day or more methylprednisolone.