It's not really that ours grows with us, as we grow little scraps of our skin fall off constantly as the new skin grows underneath. The majority of dust is made up of the little pieces of our shed skin. Snakes just shed their all at once.
There is a book that goes in depth on the Ball Python shedding process.
http://www.vpi.com/pythons_of_the_world_vol_2_0
This is by far the most in depth book about Ball Pythons and cover all you questions plus in depth about their biology, sight, breeding and care with a very cool section on morphs. I would highly recommend checking it out.