Kind of an old article (Jan 2016)
http://www.usatoday.com/story/sports/nfl/2016/01/15/nfl-west-coast-offense-study-concussion-injury-rate/78843392/
The West Coast offense is employed by nearly half of the NFL --- and researchers found that it could be putting players on those teams at risk.
"West Coast offenses are generally faster paced and have a lot of short, lateral passes," Masaru Teramoto, the lead research in the study and assistant professor at the University of Utah School of Medicine, told USA TODAY Sports. "A receiver in that situation isn't as likely to know a hit is coming."
Teams that employ the West Coast offense were 58% more likely to have an offensive player concussed (an average of three concussions per season) than teams that ran other offenses (an average of 1.9 concussions per season).
"We thought the hard-nosed teams that utilized the running back more would have a higher rate of concussions," Teramoto said. "But, instead, we found the teams that used offenses that included a lot of slant patterns led to more reported concussions.
"Players on teams that utilized more vertical passes were not as susceptible, possibly because the receivers run downfield and are often alongside a defensive back. In that situation, you know where the tackler is."