Since it is going to be used for life-support systems, I suggest that you splurge on a proper UPS instead of building a charger/battery/inverter yourself.
I'm not saying that you should get a medical grade UPS (which would be best under the circumstances) but something that is at least reputable and up to the task... enterprise class units comes to mind. APC's SmartUPS series would be a good compromise, IMO. It has a clean output (regulated and outputs a pure sine wave) instead of an approximated (relatively dirty) sine wave from most entry-level UPS's.
10 minutes backup time should be more than enough to prep and start a genset. As with anything, just make sure that it is well-maintained so that the transition time is kept to a minimum.
Your call.
Last edited by oj88; December 23rd, 2014 at 10:39 AM.