Barry and Phil,
The Respironics ST actually runs off 26 volts DC, 2.3A. That $165 "power cord" is actually a DC to DC converter, and not just a 12 volt lead.
If you don't want to shell out the bucks for that power adapter, you could use the 12V-120V inverter that Barry recommended above, but I'd recommend getting one that will handle 250 watts or better. I think Respironics recommends that backup power supplies for that machine be able to provide 300 watts.
I keep a couple of Black & Decker Electromate 400 power stations around the house for short-term backup, travelling, etc. I get about 5 hours continuous use on the Respironics ST (no humidifier) from each one, plugged into one of the 120 V outputs. They can be recharged from either 120 or 12 V sources. Cost was about $125 each, available at Lowe's or WalMart. They also have the ability to jump-start a car and a built-in air compressor for inflating tires, so they're not just a one-trick pony.
Hope this helps.