So it looks like the pumps will shut themselves off and not run 'dry', based on pump outlet pressure. The FUEL LOW CENTER EICAS appears once the centre tank is <=900Kg.
Many thanks to FullWings and Swedish Steve...
Again, this shows us that we are only as good as the (blurry) manuals available to us
Cheers.
NSEU
(Edit) P.S. Does anyone find it kind of worrying that fuel pumps can turn themselves off?

Won't the crew get an EICAS message anyway if the pumps go low pressure?... and I'm sure the crew alertness monitor will wake them if they are asleep