@s_p_a_c_e_m_a_n_ to answer your question, it's all about pressure and stress. The reason you start the mains in the middle is because that is the strongest part of the hoop in that direction. You string the mains alternately left then right (or vice versa) by no more than 3 to keep equal pressure on the hoop. Once you have the mains done, you can start the crosses. The general rule of thumb, unless otherwise directed by the manufacturer, is to string top down. Why? The answer again is pressure. As you string, pressure builds in the direction you're stringing. The strongest area of the hoop is the portion which is supported by the shoulders of the frame. The upper hoop is the weakest. So you string to the strength.
Today, some manufacturers allow stringing bottom up and I know of plenty of stringers who do just that with no adverse effects. I've always gone top down and have been told that stringing bottom up is like smoking cigarettes, it may not get you at first, but it will eventually. Rackets today are made stronger and typically aren't kept long enough or strung enough to cause a failure. IMO, it's just good practice to string top down.