If you used a reactor such as this

Ozone/Oxygen Reactor - Pet Solutions

and had it running a loop with it's own pump from your res through the reactor to the res again. You would experience crazy growth rates. Your water would become super saturated with oxygen which is what roots love...yes O2.

you'd probably need a 5lpm Oxygen Generator which can be found on ebay for differing prices.
eBay: OXYGEN BAR GENERATOR (item 320101206506 end time Apr-13-07 18:26:22 PDT)

This generator is better considering it can do 10lpm at 85% concentration. You would have super high DO levels in your res.. everything in a garden would grow faster and bigger.

eBay: Oxygen generator for oxygen bar (item 220080263184 end time May-08-07 17:18:35 PDT)

Honestly this is really something you would want to do only after you have everything else dialed in. Lighting, CO2, autodosers for PH/and Nutes., Chiller, dehuey ect. ect. ect.