Sounds like its just not getting any fuel, so fuel pump first.
Check the fuse for the fuel pump.
Also press the fuel cutt-off inertia switch. It is located under the bonnet.
Open bonnet, look to the bonnet left (car-left) corner near the passenger
door (for right hand drive). There is a switch on the bulkhead, it has a
black rubber cap on it (square 1x1 inch with circle in it). Press down on
the rubber cap.

First chant the mantra:
"Compression, mixture, spark."

Have you still got compression? It's unlikley to be the problem, but
it's also dead easy to check. Pull out the spark plugs and see if they
all look alike. You're unlikely to suddenly lose compression on all four
cylinders at once, and if one is down, the plug will look different.

MOre likely is seriously incorrect mixture. With an injected motor, that
could be caused by any of a number of sensors (or their associated
wiring) no longer working right. It could also be vacuum leaks or
injector problems. I would suspect a vacuum leak if it will nurse up to
higher revs but won't carry a load.

The remaining possibility is an ignition failure resulting in poor spark
quality. Duff ignition leads or spark plugs can cause this sort of
problem, but usually it only affects one cylinder. Check the resistance
of the coil to distributor high tension lead. It should be something of
the order of 5,000 ohms. If it's much more than about 10,000 ohms, it's
died.

Why?
What tests lead you to believe the injectors are faulty?

Stick with the likely causes and test before putting time and money into
fixing things that are probably perfectly alright.

Could the exhaust be blocked with the catalyst?

the cat broke up on my 94 M carb Mini 35 and blocked the rear box of the
exhaust, it was down for power and then stopped completely, There wasnt much
pressure of gases coming out of the exaust and the they were extremely hot.

The cat was always getting knocked when going over speed hmps etc

Just to add my 2p worth, I agree with the previous posts that suggest
checking the simple stuff first, I have had bad experiences with high tech
solutions.

My MPi Cooper had been playing up with starting problems and over fueling to
the point where it was running so rich I couldn't get it thought an MOT.

After much head scratching from Rover and their 'magic' diagnostics system,
they changed my fuel pump (twice), injectors (twice), ECU (twice), cat
convertor and put a new inlet manifold on because the existing one 'had
porus welds on it' before finally telling me it was OK and getting it
through an MOT emissions test.

The car died on me again after having had it back 2 weeks.  I finally gave
up and phoned Minimaster in Penrith who came and took the car away on their
flatbed.

After looking at it and fault finding the old fashioned way, they found an
intermittent short on the wiring loom which had been causing one of the
injectors to be energising when it shouldn't, pissing fuel into the engine
almost all the time.

You'll be pleased to know that I got a healthy discount from Rovers invoice
once my wife had finished 'discussing' things on the phone with them (she
does angry customer so much better than me).

It also reinforced the point to me that if you can't find the problem
yourself, you need an experienced mini mechanic to sort it , not dealership
guys with a laptop.......

Cheers

James