It all depends on the system, some will hit limits in one area before others.
Example #1: Turbo Eclipse/Talons, mass airflow system with karmann vortex MAF: The early cars will hit "fuel cut" when the computer tries to go above 100% duty cycle on the injectors, after which point it will shut down. Typically this happens at a little under 300 hp i believe, stock levels are 195-205 depending on year. Change the injectors and trick the computer with one of the air fuel adjustment computers, and the next problem you'll run into is the flow limits of the mass airflow sensor. Aftewr that, the fuel pump.
Example #2, Chrysler turbo 2.2/2.5 engines: Speed density system based on a 2 bar MAP sensor, so anything above 14.7 psi, and the computer doesn't see it. Remap the cmputer for the 3-bar map and you'll run out of injector very fast. You'll run out of fuel pump at about 290 hp.
Generally, there's enough injector there to get at least some more power out of it. I'm running 18 psi on a bone stock chrysler 2.2 fuel system, but i've tricked the computer so it will never see an overboost condition on the MAP sensor, a remapped computre is inthe works. Depending ont he type of system the car runs, there's different strategies requried to get the computer to flow the extra fuel, and or compensate for larger injectors so it will idle.
If you have a more specific question regarding this, i may be able to help out more.