So I see many clients who already have injuries or weaknesses. I then find a way round these to train as often an injury will stay with you longer due to weaknesses around the injury.
Mobility increases blood flow and blood flow increases the rate of repair, hence the icing of an injury as this boosts blood flow after the ice has been removed.
I still have an injury so today I trained in a way that meant I would take the weight to the range level where the pain was just about to start and go no further, so a smaller range bench press. This allows you to boost blood flow, still maintain active and puts limited strain on an injury.
Remember never train through the strain just work around it.