Do I have to stop running and lose my fitness entirely to heal?

This morning I was on a call answering injury questions live in the Injured Runners Aid Station. This runner actually said, "Well, my doctor said that since I got a running injury, the solution is to stop running." When I think about this, there are really only two approaches to the questions of whether or not you have to stop running entirely to heal an overtraining running injury. Do I have to stop running and lose my running fitness entirely just to heal? Well, that's a great question and that's what we're talking about today on the Doc on the Run podcast.