I am gona say that it's not likely to be fuel pressure related. It has been my experience with FI systems that if it requiers 52 lbs min pressure and has 51 lbs, it simply does not run. Do not take my word for this, I don't know every EFI. It could include some type of fast voltage loss shutting down the pump. TPS is also likely. Need more info,like does it jerk all the way to a stop and then you go? Does the engine idle rough or die, do you have a CEL? Auto or 5 speed?