Injuries in Baseball: How (Self-)Exciting?

Anyone can admit that baseball is hard to predict1, probably one of the reasons it can be so exciting. I've definitely done my share of modeling game and at-bat outcomes, but I wanted to pose a different challenge for this post: predicting injury risk. Injury risk is an important element of season long unpredictability. A bunch of injury research focuses mostly on pitcher health, looking at pitch load, movement, even video analysis. I'm sure teams also have their own complex systems for modeling and monitoring player health.