Years ago I started running on an indoor track during the winter. Developed shin splints and could barely walk. Thought I could run through it, but found out pretty quickly that that wasn't going to work. I stopped running completely for about 4 months. Puchased a good pair of shoe's and stayed away from indoor tracks (I have heard that they are the worst for developing shin splints). Personally I always purchase Nike Air indoor running shoes. They have the air pockets in the front of the shoe as well as the heel.
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