 2. Methylprednisolone Solumedrol - this medicine, which is part of a family of medicines often referred to as corticosteroids, will be given intravenously on the day of the transplant during surgery. This will be the only planned dose of corticosteroid medicine you will receive although this medicine and a tablet form called Prednisone may be given at a later time if you have an episode of transplant rejection. 