You won't have to track a wounded brown, he will be backtracking you;)
This is not a good situation, for the most part, you don't want this to happen, thats why the guide's are armed and ready to expire the bear if the client for some reason has a bad shot placement on the bear, its the guides duty to down the bear as far I knew, plus if that dame bear get away on a rage, he could go-into a village and maul a few people before someone expires him, If you do have to track a escaping bear, you usually get someone high in a tree or high ground to keep a eye on where he heading, he may circle back to you;) if not, then blood track him and be very aware that this bear can tern and attack at any time, once wounded you get a different type of bear, very angry and will kill anything in his path, depending how wounded he is of course, remember these animals have no fear of anything they are so big and know it
I call them a room full of teeth LOL. Aim small hit small. RAMbo.