2. Progressive or stable GvHD despite a minimum of 30 days treatment with a calcineurin inhibitor (cyclosporine or tacrolimus) at therapeutic plasma levels, plus at least one other another agent with a different mechanism of action used concurrently for at least 30 days at doses known to be therapeutic for cGvHD. In most cases this second agent will be a corticosteroid administered either as high level pulse dosing (greater than or equal to mg/kg/day prednisone or equivalent in pulses of 3 days or longer for at least two occasions during the qualifying 30 days) and/or daily dosing (greater than or equal to 0.25mg/kg) or alternate day dosing (greater than or equal to 0.50 mg/kg) prednisone or equivalent. In other cases where use of steroids is medically undesirable or contraindicated, the second agent may be mycophenolate mofetil, sirolimus, hydroxychloroquine, clofazimine, thalidomide, azathioprine, pentostatin, etanercept, Infliximab, Rituximab or Daclizumab used at doses and schedule known to provide benefit to patients with cGvHD. Patients in whom calcineurin inhibitors are medically contraindicated may also be eligible for enrollment if there has been at least a 30 day trial of prednisone (or equivalent) at the doses/schedules noted above plus one of the second agents listed above. Patients in whom both calcineurin inhibitors and steroids are medically contraindicated or in whom these agents can be used at only limiting doses may also be eligible if at least two of the alternate agents noted above have been tried for 30 days without further improvement in symptoms of cGvHD. Patients who have stabilization of disease on calcineurin inhibitors plus steroids (or the other combinations noted above), but in whom these medications cannot be tapered without disease flare are also eligible.