On the treadmill, Parker puts on a harness attached to a rope to prevent him being propelled off the back of the machine. Juliet Skleryk, a performance physiologist at the institute, later explains that some 400m runners can reach speeds of 30km/h on the treadmill - if you can't maintain that pace the consequences can be dramatic for the runner and anything behind them.
After a short warm-up, Parker is connected to a mouthpiece and hose and told that the treadmill will start at 10km/h and increase in speed by 1km/h per minute up to a maximum of 15km/h, then the incline increases.
After a short while it is all over, Parker signals for the treadmill to stop once the speed reaches 15km/h and the first incline increase kicks in. While Parker collects his breath, Barry talks. "You can never have enough data. Ever since I started working with Joseph 12 months ago I've recorded every single session we've done together.
"My training diary I send out every week to immediate members of my team so they can see the improvement week by week. He's a very good runner for his size. There's not many heavyweights that run five miles [8km]; we run five miles most mornings, the only time he doesn't is when I have him sparring."
Skleryk reveals Parker's "score" is 46 (millilitres of oxygen per kg per minute) "For a really large, big boxer, that's good," she says.
"For a power athlete like Joe it's not the be-all and end-all but 46 is respectable. It's definitely better than average."