jwb43, When you take prednisone, it must first be metabolized in the liver to its active form, prednisolone. And while oral prednisone and prednisolone are used interchangeably, the latter (for obvious reasons) is more readily absorbed by the body.
Medrol, is a brand name for methylprednisolone, which is actually nothing more than prednisolone with a methyl side chain attached. This side chain increases the activity of the prednisolone by approximately 20%, which lowers the required dose by this same amount.
A study of the side effects of each form indicates they are all virtually the same, but different individuals often find one better than the other.
I also strongly suspect that different doctors favor one form over the other merely because they have had more experience with it.