I'm not saying don't make exceptions, but don't have this perfect universe where every cell survives and thrives, reproducing an infinite amount of perfect cells. It doesn't happen like that. The universe is still generally young, and depending on if you go with the infinite expansion or big crunch theory, I'm technically right either way? Thinking of this as I go along, 3 am, let's go gadget brain.
In the event of the big crunch, everything vanishes, and the universe ceases to exist, being nothing more that it was prior to the big bang. All particles/cells/I don't care vanish, leaving not a trace. Whatever cells did exist weren't an infinite amount, and definitely don't exist anymore. I win.
In the event of infinite expansion (as the OP's answer wasn't 'space', this shouldn't be used in his defense), particles/cells/blah are only created when energy is available for them. Since all the energy in the worlds equals out to 0, precisely, matter will constantly be transformed back into energy, and we're not getting an infinite amount of particles (lmao, wrote 'parties'), we just getting lots of space. And really dunno where I'm going with this at this point. *yawn* Sowwy. Buh yeah.