If its after an hour of running, it is very likely shin splints. So, first, you can get a compression wrap to wear while running, that can help. Second, when you are done, RICE -Rest, Ice, Compression, Elevation. Also, you can do some exercises where you get an empty paint can, hang it off your toes and lift it up and down with only your foot.
Then you'll be a proper doctor.That's only because I haven't got my PhD yet.